{"id":6053,"date":"2026-01-25T16:45:13","date_gmt":"2026-01-25T16:45:13","guid":{"rendered":"https:\/\/vartmaaninstitutesirsa.com\/?page_id=6053"},"modified":"2026-01-25T16:45:13","modified_gmt":"2026-01-25T16:45:13","slug":"unit-1-electrostatics-mcq-problems","status":"publish","type":"page","link":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/unit-1-electrostatics-mcq-problems\/","title":{"rendered":"unit 1 electrostatics mcq problems"},"content":{"rendered":"
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Electrostatics mcq\u00a0<\/span><\/u><\/strong><\/p>\n

Q.1<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>The capacitance of a metallic sphere will be 1<\/span>\uf06d<\/span>F, if<\/span>\u00a0\u00a0<\/span>its radius is nearly-<\/span>\u00a0<\/span>\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 9 km<\/span>\u00a0<\/span>\u00a0<\/span>(2) 10 m<\/span>\u00a0<\/span>(3) 1.11 m<\/span>\u00a0<\/span>\u00a0<\/span>(4) 1.11 cm<\/span><\/p>\n

Q.2<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>The energy of a charged conductor is given by the expression-<\/span>\u00a0<\/span>\u00a0<\/span><\/strong>\u00a0<\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0<\/span>(3) 2qC<\/span>\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"\u00a0<\/span><\/p>\n

Q.3<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0<\/span>No current flows between two charged bodies connected together when they have the same-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) capacitance or Q\/V ratio<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) charge<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) resistance<\/span>\u00a0<\/span>(4) potential or Q\/C ratio<\/span><\/p>\n

Q.4<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>Two spherical conductors A and B of radii R and 2R respectively are each given a charge Q. When they\u00a0<\/span>\u00a0<\/span>are connected by a metallic wire. The charge will-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) flow from A to B<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) flow from B to A<\/span>\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) remain stationary on conductor<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) none of<\/span>\u00a0\u00a0<\/span>these\u00a0<\/span><\/p>\n

Q.5<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>The potential energy of a charged conductor of charge (q) and potential (V) is given by-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0qV<\/span>\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0q<\/span>2<\/span>V<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\"\"\u00a0\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"qV<\/span>2<\/span><\/p>\n

Q.6<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>A conductor of capacitance 0.5<\/span>\uf06d<\/span>F has been charged to 100 volts. It is now connected to uncharged conductor of capacitance 0.2<\/span>\uf06d<\/span>F. The loss in potential energy is nearly –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 7 \u00d7 10<\/span>\u20134\u00a0<\/span>J<\/span>\u00a0<\/span>(2) 3.5 \u00d7 10<\/span>\u20134<\/span>\u00a0J<\/span>\u00a0<\/span>(3) 14 \u00d7 10<\/span>\u20134<\/span>\u00a0J<\/span>\u00a0<\/span>(4) 7 \u00d7 10<\/span>\u20133<\/span>\u00a0J<\/span><\/p>\n

Q.7<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0<\/span>Two spherical conductors of capacitance 3.0<\/span>\uf06d<\/span>F and 5.0<\/span>\uf06d<\/span>F are charged to potentials of<\/span>\u00a0\u00a0<\/span>300 volt and 500 volt. The two are connected resulting in redistribution of charges. Then the final potential is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 300 volt<\/span>\u00a0<\/span>\u00a0<\/span>(2) 500 volt<\/span>\u00a0<\/span>\u00a0<\/span>(3) 425 volt<\/span>\u00a0<\/span>\u00a0<\/span>(4) 400 volt<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.8<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>N drops of mercury of equal radii and possessing equal charges combine to form a big spherical drop. Then the capacitance of the bigger drop compared to each individual drop is-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) N times<\/span>\u00a0<\/span>(2) N<\/span>2\/3<\/span>\u00a0times<\/span>\u00a0<\/span>(3) N<\/span>1\/3\u00a0<\/span>times<\/span>\u00a0<\/span>(4) N<\/span>5\/3<\/span>\u00a0times<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.9<\/span><\/strong>\u00a0<\/span>\u00a0<\/span>The capacity of a parallel plate condenser is C. Its capacity when the separation between the plates is halved will be-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0<\/span>\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 4C<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 2C<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) C\/2<\/span>\u00a0<\/span>\u00a0<\/span>(4) C\/4<\/span><\/p>\n

Q.10<\/span><\/strong>\u00a0<\/span>A parallel plate condenser has a capacitance 50<\/span>\uf06d<\/span>F in air and 110\u00a0<\/span>\uf06d<\/span>F, when immersed in an oil. The dielectric constant K of the oil is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 0.45<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(2) 0.55<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 1.10<\/span>\u00a0<\/span>\u00a0<\/span>(4) 2.20<\/span><\/p>\n

Q.11<\/span><\/strong>\u00a0<\/span>The capacity of a parallel plate condenser is 5<\/span>\uf06d<\/span>F. When glass plate is placed between the plates of the conductor, its potential becomes 1\/8th of the original value. The value of dielectric constant<\/span>\u00a0\u00a0<\/span>will be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1.6<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(2) 5<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 8<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4<\/span><\/p>\n

Q.12<\/span><\/strong>\u00a0<\/span>If the p.d. across the ends of a capacitor 4<\/span>\uf06d<\/span>F is 1.0 kilovolt. Then its electrical potential energy will be-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 4 \u00d7 10<\/span>\u20133<\/span>erg<\/span>\u00a0<\/span>(2) 2 erg<\/span>\u00a0<\/span>(3) 2 joule<\/span>\u00a0<\/span>\u00a0<\/span>(4) 4 joule<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.13<\/span><\/strong>\u00a0<\/span>A 6<\/span>\uf06d<\/span>F capacitor charged from 10 volts to 20 volts. Increase in energy will be –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 18 \u00d7 10<\/span>\u20134<\/span>\u00a0\u00a0<\/span>J<\/span>\u00a0<\/span>(2) 9 \u00d7 10<\/span>\u20134<\/span>\u00a0J<\/span>\u00a0<\/span>(3) 4.5 \u00d7 10<\/span>\u20134<\/span>\u00a0\u00a0<\/span>J<\/span>\u00a0<\/span>(4) 9 \u00d7 10<\/span>\u20139<\/span>\u00a0J<\/span><\/p>\n

Q.14<\/span><\/strong>\u00a0<\/span>The energy of a charged capacitor resides in –\u00a0<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span>(1) the electric field only<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) the magnetic field only\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) both the electric and magnetic field<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) neither in electric<\/span>\u00a0\u00a0<\/span>nor magnetic field<\/span><\/p>\n

Q.15<\/span><\/strong>\u00a0<\/span>The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively<\/span>\u00a0\u00a0<\/span>C<\/span>0<\/span>\u00a0and W<\/span>0<\/span>. If the air is replaced by glass (dielectric constant = 5) between the plates, the capacity of the plates and the energy stored in it will respectively be –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 5C<\/span>0<\/span>\u00a0, 5W<\/span>0<\/span>\u00a0<\/span>(2) 5C<\/span>0\u00a0<\/span>,\u00a0<\/span>\"\"\u00a0<\/span>(3)\u00a0<\/span>\"\", 5W<\/span>0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\",\u00a0<\/span>\"\"<\/p>\n

Q.16<\/span><\/strong>\u00a0<\/span>By inserting a plate of dielectric material between the plates of a parallel plate capacitor, the energy is increased five times. The dielectric constant of the material is –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>(1) 1\/25<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 1\/5<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 5<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(4) 25<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.17<\/span><\/strong>\u00a0<\/span>A capacitor of capacity C has charge Q and stored energy is W. If the charge is increased to 2Q the stored energy will be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span>(1) 2W<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) W\/2<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 4W<\/span>\u00a0<\/span>(4) W\/4\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.18<\/span><\/strong>\u00a0<\/span>A glass slab is put with in the plates of a charged parallel plate condenser. Which of the following\u00a0<\/span>\u00a0<\/span>quantities does not change?<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) energy of the condenser (2) capacity<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) intensity of electric field\u00a0<\/span>\u00a0<\/span>(4) charge<\/span><\/p>\n

Q.19<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor is connected to a battery and inserted a dielectric plate between the place of plates then which quantity increase-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) potential difference<\/span>\u00a0\u00a0\u00a0<\/span>(2) electric field<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>(3) stored energy<\/span>\u00a0<\/span>(4) E. M . F of battery<\/span><\/p>\n

Q.20<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor is connected to a battery and decreased the distance between the plates then\u00a0<\/span>\u00a0<\/span>which quantity is same on the parallel plate capacitor-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) potential difference<\/span>\u00a0\u00a0<\/span>(2) capacitance\u00a0<\/span>\u00a0<\/span>(3) intensity of electric field<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>(4) stored energy<\/span><\/p>\n

Q.21<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor is charged by a battery after charging the capacitor , battery is disconnected. And if a dielectric plate is inserted between the place of plates. Then which one of the following statements is not correct-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) increase in the stored energy<\/span>\u00a0<\/span>(2) decrease in the potential difference\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) decrease in the electric field<\/span>\u00a0<\/span>(4) increase in the capacitance<\/span><\/p>\n

Q.22<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor has a capacity C. The separation between plates is doubled and a dielectric\u00a0<\/span>\u00a0<\/span>medium is inserted<\/span>\u00a0\u00a0<\/span>between plates.<\/span>\u00a0\u00a0<\/span>The new capacity is 3C. The dielectric constant of medium is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1.5<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 3.0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(3)<\/span>\u00a0\u00a0<\/span>6.0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(4) 12.0<\/span><\/p>\n

Q.23<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor is charged by a battery after charging the capacitor, battery is disconnected and decrease the distance between the plates then which following statement is correct ?<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) electric field is not constant<\/span>\u00a0<\/span>(2) potential difference is increased<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) decrease the capacitance<\/span>\u00a0<\/span>(4) decrease the stored energy<\/span><\/p>\n

Q.24<\/span><\/strong>\u00a0<\/span>The capacitance of a parallel plate condenser does not depend upon-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) the distance between the plates<\/span>\u00a0<\/span>(2) area of the plates<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) medium between the plates<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) metal of<\/span>\u00a0\u00a0<\/span>the plates<\/span><\/p>\n

Q.25<\/span><\/strong>\u00a0<\/span>A metallic plate of<\/span>\u00a0\u00a0<\/span>thickness (t) and face area of one side (A) is inserted between the plates of a parallel plate air capacitor with a separation (d) and face are (A). Then the equivalent capacitance is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span>Q.26<\/span><\/strong>\uf020<\/span>\u00a0<\/span>An air capacitor of 1<\/span>\uf06d\uf06d<\/span>F is immersed in a transformer oil of dielectric constant 3. The capacitance of the oil capacitor is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1<\/span>\uf06d\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\uf06d\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 3<\/span>\uf06d\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 2<\/span>\uf06d\uf06d<\/span>F<\/span><\/p>\n

Q.27<\/span><\/strong>\u00a0<\/span>Two metal plates form a parallel plate condenser. The distance between the plates in d. Now a metal plate of thickness d\/2 and of same area is inserted completely between the plates, the capacitance –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) remains unchanged<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) is doubled<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) is halved<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) reduced to one fourth<\/span><\/p>\n

Q.28<\/span><\/strong>\u00a0<\/span>The capacity of a parallel plate capacitor with air as medium is 2<\/span>\uf06d<\/span>F. After inserting a sheet of mica a equal air thickness , it becomes 5<\/span>\uf06d<\/span>F. The dielectric constant of mica is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 0.1<\/span>\u00a0<\/span>\u00a0<\/span>(2) 0.4<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(3) 2.5<\/span>\u00a0<\/span>\u00a0<\/span>(4) 10<\/span><\/p>\n

Q.29<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor has rectangular plates of 400 cm<\/span>2<\/span>\u00a0and are separated by a distance of\u00a0<\/span>
\n2 mm with\u00a0<\/span>\u00a0<\/span>air as medium. What charge will appear on the plates. If a 200 volt potential difference is applied across the condenser?<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)3.54 \u00d7 10<\/span>\u20136<\/span>\u00a0C<\/span>\u00a0<\/span>(2) 3.54 \u00d7 10<\/span>\u20138<\/span>\u00a0C<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 3.54 \u00d7 10<\/span>\u201310<\/span>\u00a0C<\/span>\u00a0<\/span>(4) 1770.8 \u00d7 10<\/span>\u201313<\/span>\u00a0C<\/span><\/p>\n

Q.30<\/span><\/strong>\u00a0<\/span>A parallel plate condenser is immersed in an oil of dielectric constant 2. The field between the plates is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) increased proportional to 2.<\/span>\u00a0<\/span>(2) decreased proportional to 1\/2<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) increased proportional to\u00a0<\/span>\uf0d6<\/span>2<\/span>\u00a0<\/span>(4) decreased proportional to 1\/<\/span>\uf0d6<\/span>2<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.31<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor consists of<\/span>\u00a0\u00a0<\/span>two plates of<\/span>\u00a0\u00a0<\/span>2m \u00d7 1m. The space between the plates is of 1mm<\/span>\u00a0\u00a0<\/span>and filled with a dielectric of relative\u00a0<\/span>permittivity of<\/span>\u00a0\u00a0<\/span>7. A potential difference of<\/span>\u00a0\u00a0<\/span>300 V<\/span>\u00a0is applied across the plates. Find the potential gradient –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 6 \u00d7 10<\/span>5<\/span>\u00a0N\/C<\/span>\u00a0<\/span>(2) 3 \u00d7 10<\/span>5<\/span>\u00a0N\/C<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 18 \u00d7 10<\/span>5<\/span>\u00a0N\/C<\/span>\u00a0<\/span>(4) 12 \u00d7 10<\/span>5<\/span>\u00a0N\/C<\/span><\/p>\n

Q.32<\/span><\/strong>\u00a0<\/span><\/strong>Two conductors insulated from each other, charged by transferring electrons from one conductor to the other. After 25 \u00d7 10<\/span>12<\/span>\u00a0electrons have been transferred. The potential difference between the conductors<\/span>\u00a0\u00a0<\/span>is found to be 16V. The capacitance of the system is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 25<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) .25<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(3) 25 nF<\/span>\u00a0<\/span>\u00a0<\/span>(4) 25 PF<\/span><\/p>\n

Q.33<\/span><\/strong>\u00a0<\/span>The energy density in a parallel plate capacitor is given as 2.2 \u00d7 10<\/span>\u201310<\/span>\u00a0J\/m<\/span>3<\/span>. The value of the electric field in the region between the plates is-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 7 NC<\/span>\u20131<\/span>\u00a0<\/span>\u00a0<\/span>(2) 3.6<\/span>\u00a0\u00a0<\/span>NC<\/span>\u20131<\/span>\u00a0<\/span>(3) 72 NC<\/span>\u20131<\/span>\u00a0<\/span>(4) 8.4 NC<\/span>\u20131<\/span><\/p>\n

Q.34<\/span><\/strong>\u00a0<\/span>If<\/span>\u00a0\u00a0<\/span>a 10<\/span>\uf06d<\/span>F capacitor is to have an energy content of<\/span>\u00a0\u00a0<\/span>1 Joule. It must be placed across a p.d. of (in volts)-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 900<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 450 \u00d7 10<\/span>8<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(3) 200<\/span>\u00a0<\/span>\u00a0<\/span>(4) 450<\/span><\/p>\n

Q.35<\/span><\/strong>\u00a0<\/span>A capacitor of capacitance\u00a0<\/span>\"\"\uf06d<\/span>F is connected to a battery of 300 volt and charged. Then the energy stored in capacitor is-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 3 \u00d7 10<\/span>\u20132<\/span>\u00a0joule<\/span>\u00a0<\/span>(2) 1.5 \u00d7 10<\/span>\u20132<\/span>\u00a0joule<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 6 \u00d7 10<\/span>2<\/span>\u00a0joule<\/span>\u00a0<\/span>(4) 12 \u00d7 10<\/span>2<\/span>\u00a0joule<\/span><\/p>\n

Q.36<\/span><\/strong>\u00a0<\/span>The two parallel plates of a condenser have been connected to a battery of<\/span>\u00a0\u00a0<\/span>300V and the charge collected at each plate is 1<\/span>\uf06d<\/span>C. The energy supplied by battery is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 6 \u00d7 10<\/span>\u20134\u00a0<\/span>J\u00a0<\/span>\u00a0<\/span>(2) 3 \u00d7 10<\/span>\u20134<\/span>\u00a0J<\/span>\u00a0<\/span>(3) 1.5 \u00d7 10<\/span>\u20134<\/span>\u00a0J<\/span>\u00a0<\/span>(4) 4.5 \u00d7 10<\/span>\u20134\u00a0<\/span>J<\/span><\/p>\n

Q.37<\/span><\/strong>\u00a0<\/span>The plates of a parallel plate capacitor are charged with a battery so that the plates of the capacitor have acquired the P.D. equal to e.m.f of the battery. The ratio of the work done by the battery and the energy\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>stored in capacitor is-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 2 : 1<\/span>\u00a0<\/span>(2) 1 : 1<\/span>\u00a0<\/span>(3) 1 : 2<\/span>\u00a0<\/span>\u00a0<\/span>(4) 1 : 4<\/span><\/p>\n

Q.38<\/span><\/strong>\u00a0<\/span><\/strong>A parallel plate condenser has plates of area 200 cm<\/span>2<\/sup><\/span>\u00a0and separation 0.05cm has been filled with a dielectric having K = 8 and then charged to 300volts. The final energy of condenser is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1.6 \u00d7 10<\/span>\u20135<\/span>\u00a0J<\/span>\u00a0<\/span>(2) 2.0 \u00d7 10<\/span>\u20136<\/span>\u00a0J<\/span>\u00a0<\/span>(3) 12.8 \u00d7 10<\/span>\u20135<\/span>\u00a0J\u00a0<\/span>\u00a0<\/span>(4) 64 \u00d7 10<\/span>\u20135<\/span>\u00a0J<\/span><\/p>\n

Q.39<\/span><\/strong>\u00a0<\/span>Three capacitors of capacity C<\/span>1<\/span>\u00a0, C<\/span>2<\/span>\u00a0, C<\/span>3<\/span>\u00a0are connected in series. Their total capacity will be-\u00a0<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>(1) C<\/span>1<\/span>\u00a0+ C<\/span>2<\/span>\u00a0+ C<\/span>3<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(4) none of these<\/span><\/p>\n

Q.40<\/span><\/strong>\u00a0<\/span>Three capacitors each of capacitance 1<\/span>\uf06d<\/span>F are connected in parallel. To this combination a fourth capacitor of capacitance 1<\/span>\uf06d<\/span>F connected in series. The resultant capacitance of the system is-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 4<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) 2\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 4\/3\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 3\/4\u00a0<\/span>\uf06d<\/span>F<\/span><\/p>\n

Q.41<\/span><\/strong>\u00a0<\/span>Two capacitances of capacity C<\/span>1<\/span>\u00a0and C<\/span>2<\/span>\u00a0are connected in series and potential difference V is applied across it. Then the potential difference across C<\/span>1<\/span>\u00a0will be-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>(1) V\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(2) V<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3) V<\/span>\"\"\u00a0<\/span>(4) V\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span><\/p>\n

Q.42<\/span><\/strong>\u00a0<\/span>Two condensers of capacities 1<\/span>\uf06d<\/span>F and 2<\/span>\uf06d<\/span>F are connected in series and system charged to\u00a0<\/span>
\n120 volts. Then the P.D on 1<\/span>\uf06d<\/span>F capacitor (in volts) will be-<\/span>\u00a0<\/span>\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0<\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 40<\/span>\u00a0<\/span>(2) 60<\/span>\u00a0<\/span>(3) 80<\/span>\u00a0<\/span>\u00a0<\/span>(4) 120<\/span><\/p>\n

\u00a0<\/span><\/strong><\/p>\n

Q.43<\/span><\/strong>\u00a0<\/span>Two condensers of capacity 0.3<\/span>\uf06d<\/span>F and 0.6<\/span>\uf06d<\/span>F respectively are connected in series. The combination is connected across a potential of 6 volts. The ratio of energies stored by the condensers will be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>(1) 1\/2<\/span>\u00a0<\/span>(2) 2<\/span>\u00a0<\/span>(3) 1\/4<\/span>\u00a0<\/span>\u00a0<\/span>(4) 4<\/span><\/p>\n

Q.44<\/span><\/strong>\u00a0<\/span>Three capacitors C<\/span>a<\/span>\u00a0< C<\/span>b<\/span>\u00a0< C<\/span>c<\/span>\u00a0are connected in series. Their resultant capacitance will be-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) equivalent capacitance greater than C<\/span>c<\/span>\u00a0\u00a0\u00a0<\/span>(2) equivalent capacitance less than C<\/span>c<\/span>\u00a0but greater than C<\/span>a<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) equivalent capacitance less than C<\/span>a<\/span>\u00a0<\/span>(4) equivalent capacitance is infinite<\/span><\/p>\n

Q.45<\/span><\/strong>\u00a0<\/span>The equivalent capacity in the system of<\/span>\u00a0\u00a0<\/span>capacitance will be-<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\"\"\u00a0<\/span>\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(2) 2<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 1.5\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 3<\/span>\uf06d<\/span>F<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.46<\/span><\/strong>\u00a0<\/span>Three capacitors of capacitance 3<\/span>\uf06d<\/span>F , 9<\/span>\uf06d<\/span>F and 18<\/span>\uf06d<\/span>F are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases\u00a0<\/span>\"\"\u00a0will be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1 : 15<\/span>\u00a0<\/span>\u00a0<\/span>(2) 15 : 1<\/span>\u00a0<\/span>\u00a0<\/span>(3) 1 : 1<\/span>\u00a0<\/span>\u00a0<\/span>(4) 1 : 3<\/span><\/p>\n

Q.47<\/span><\/strong>\u00a0<\/span>Three equal capacitors, each with capacitance C are connected as shown in figure. Then the equivalent capacitance between A and B is\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>–<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) C<\/span>\u00a0<\/span>\u00a0<\/span>(2) 3C<\/span>\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) C\/3<\/span>\u00a0<\/span>\u00a0<\/span>(4) 3C\/2<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.48<\/span><\/strong>\u00a0<\/span>Three capacitors are connected to D.C. source of 100 volts as shown in the adjoining figure. If the charge accumulated on plates of C<\/span>1<\/span>\u00a0, C<\/span>2<\/span>\u00a0and C<\/span>3<\/span>\u00a0are q<\/span>a<\/span>\u00a0, q<\/span>b<\/span>, q<\/span>c<\/span>\u00a0, q<\/span>d<\/span>\u00a0, q<\/span>e<\/span>\u00a0, q<\/span>f<\/span>\u00a0respectively then –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0 <\/span><\/strong><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) q<\/span>b<\/span>\u00a0+ q<\/span>d<\/span>\u00a0+ q<\/span>f<\/span>\u00a0= 100\/9 Coulomb<\/span>\u00a0<\/span>(2) q<\/span>b<\/span>\u00a0+ q<\/span>d<\/span>\u00a0+ q<\/span>f<\/span>\u00a0= 0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) q<\/span>a<\/span>\u00a0+ q<\/span>c<\/span>\u00a0+ q<\/span>e<\/span>\u00a0= 50 Coulomb<\/span>\u00a0<\/span>(4) q<\/span>b<\/span>\u00a0= q<\/span>d<\/span>\u00a0= q<\/span>f<\/span><\/p>\n

Q.49<\/span><\/strong>\u00a0<\/span>A capacitor C<\/span>1<\/span>\u00a0= 4<\/span>\uf06d<\/span>F is connected in series with another capacitor C<\/span>2<\/span>\u00a0= 1<\/span>\uf06d<\/span>F. The combination is connected across a d.c. source of voltage 200V. The ratio of potential across C<\/span>1<\/span>\u00a0and C<\/span>2<\/span>\u00a0is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1 : 4<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(2) 4 : 1<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 1 : 2<\/span>\u00a0<\/span>\u00a0<\/span>(4) 2 : 1<\/span><\/p>\n

Q.50<\/span><\/strong>\u00a0<\/span>Two condensers of 20 and 30 microfarads are connected in series across a 200 volt D.C. supply. Find<\/span>\u00a0\u00a0<\/span>the charge on each condenser ?<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 2400\u00a0<\/span>\uf06d<\/span>C\u00a0<\/span>\u00a0<\/span>(2) 4200<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>(3) 2600<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>(4) 3000<\/span>\uf06d<\/span>C<\/span><\/p>\n

Q.51<\/span><\/strong>\u00a0<\/span>The three condensers of capacitances 10, 20 and 30<\/span>\uf06d<\/span>F are first connected in series and then connected\u00a0<\/span>\u00a0<\/span>in parallel. The ratio of<\/span>\u00a0\u00a0<\/span>the resultant capacitance in the two cases is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1 : 11<\/span>\u00a0<\/span>\u00a0<\/span>(2) 11 : 1<\/span>\u00a0<\/span>(3) 1 : 6<\/span>\u00a0<\/span>\u00a0<\/span>(4) 6 : 1<\/span><\/p>\n

Q.52<\/span><\/strong>\u00a0<\/span><\/strong>Five equal capacitors, each with capacitance (C) are connected as shown in the adjoining fig. Then the equivalent capacitance between A and B is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) C<\/span>\u00a0<\/span>(2) 5C<\/span>\u00a0<\/span>(3) C\/5<\/span>\u00a0<\/span>(4) 3C<\/span><\/p>\n

Q.53<\/span><\/strong>\u00a0<\/span><\/strong>The total capacity of the system of capacitors shown in adjoining figure between the points A and B is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(2) 2<\/span>\uf06d<\/span>F\u00a0<\/span>\u00a0<\/span>(3) 3<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(4) 4<\/span>\uf06d<\/span>F<\/span><\/p>\n

Q.54<\/span><\/strong>\u00a0<\/span>The equivalent capacitance between the points A and B in the given diagram is –<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 8<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(2) 6<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"\u00a0<\/span>\uf06d<\/span>F<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.55<\/span><\/strong>\u00a0<\/span>Five capacitors of 10<\/span>\uf06d<\/span>F capacitor each are connected to a D.C. potential of 100 volts as shown in the adjoining figure. The equivalent capacitance between the points A and B will be equal to-<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong>\"\"\u00a0<\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 40<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) 20\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 30\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 10\u00a0<\/span>\uf06d<\/span>F<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.56<\/span><\/strong>\u00a0<\/span>Three capacitors of capacity 10<\/span>\uf06d<\/span>F , 5<\/span>\uf06d<\/span>F and 5<\/span>\uf06d<\/span>F are connected in parallel. The total capacity will be-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 10<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) 5<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(3) 20\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) none of the above<\/span><\/p>\n

Q.57<\/span><\/strong>\u00a0<\/span>Two capacitors connected in parallel having the capacities C<\/span>1<\/span>\u00a0and C<\/span>2<\/span>\u00a0are given<\/span>\u00a0\u00a0<\/span>‘q’ charge, which is distributed among them. The ratio of the charge<\/span>\u00a0\u00a0<\/span>on C<\/span>1<\/span>\u00a0and C<\/span>2<\/span>\u00a0will be –\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3) C<\/span>1<\/span>C<\/span>2<\/span>\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"<\/p>\n

Q.58<\/span><\/strong>\u00a0<\/span>In an adjoining figure are shown three capacitors C<\/span>1<\/span>\u00a0, C<\/span>2<\/span>\u00a0and C<\/span>3<\/span>\u00a0\u00a0<\/span>joined to battery. The correct condition will be-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) Q<\/span>1<\/span>\u00a0= Q<\/span>2<\/span>\u00a0= Q<\/span>3<\/span>\u00a0and V<\/span>1<\/span>\u00a0= V<\/span>2<\/span>\u00a0= V<\/span>3<\/span>\u00a0= V<\/span>\u00a0<\/span>(2) Q<\/span>2<\/span>\u00a0= Q<\/span>2<\/span>\u00a0+ Q<\/span>3<\/span>\u00a0and V = V<\/span>1<\/span>\u00a0+ V<\/span>2<\/span>\u00a0+ V<\/span>3<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) Q<\/span>1<\/span>\u00a0= Q<\/span>2<\/span>\u00a0+ Q<\/span>3<\/span>\u00a0and V = V<\/span>1<\/span>\u00a0+ V<\/span>2<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) Q<\/span>2<\/span>\u00a0= Q<\/span>3<\/span>\u00a0and V<\/span>2<\/span>\u00a0= V<\/span>3<\/span>\u00a0<\/span><\/p>\n

Q.59<\/span><\/strong>\u00a0<\/span>Two capacitors of equal capacity are first connected in parallel and then in series. The ratio of the total capacities in the two cases will be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 2 : 1<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(2) 1 : 2<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(3) 4 : 1\u00a0<\/span>\u00a0<\/span>(4) 1 : 4<\/span><\/p>\n

Q.60<\/span><\/strong>\u00a0<\/span>A 4<\/span>\uf06d<\/span>F condenser is connected in parallel to another condenser of<\/span>\u00a0\u00a0<\/span>8<\/span>\uf06d<\/span>F. Both the condensers are then connected in series with a 12<\/span>\uf06d<\/span>F condenser and charged to 20 volts. The charge on the plate of 4<\/span>\uf06d<\/span>F condenser is-\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 3.3\u00a0<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>\u00a0<\/span>(2) 40<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 80\u00a0<\/span>\uf06d<\/span>C<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(4) 240\u00a0<\/span>\uf06d<\/span>C<\/span><\/p>\n

Q.61<\/span><\/strong>\u00a0<\/span>If three capacitors each of capacity 1<\/span>\uf06d<\/span>F are connected in such a way that the resultant capacity is 1.5<\/span>\uf06d<\/span>F then-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) all the three are connected in series\u00a0<\/span>\u00a0<\/span>(2) all the three are connected in parallel<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(3) two of them are in parallel and then connected in series to the third<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(4) two of them are in series and then connected in parallel to the third<\/span><\/p>\n

Q.62<\/span><\/strong>\u00a0<\/span>Two capacitor each of 1<\/span>\uf06d<\/span>F capacitance are connected in parallel and are then charged<\/span>\u00a0\u00a0<\/span>by 200 volts D.C. supply. The total energy of their charges (in joule is)-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 0.01<\/span>\u00a0<\/span>\u00a0<\/span>(2) 0.02<\/span>\u00a0<\/span>\u00a0<\/span>(3) 0.04<\/span>\u00a0<\/span>\u00a0<\/span>(4) 0.06<\/span><\/p>\n

Q.63<\/span><\/strong>\u00a0<\/span>Four capacitors are connected as shown in the fig. The equivalent capacitance between the points P and Q is-<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(1) 4<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) 1\/4\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 3\/4\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 4\/3\u00a0<\/span>\uf06d<\/span>F<\/span><\/p>\n

Q.64<\/span><\/strong>\u00a0<\/span>The total capacity of the system of capacitors shown in the adjoining figure between the points A and B will be-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong>\u00a0<\/span><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(2) 2<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(3) 3<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 4<\/span>\uf06d<\/span>F<\/span><\/p>\n

Q.65<\/span><\/strong>\u00a0<\/span>Two dielectric slabs of constant K<\/span>1<\/span>\u00a0and K<\/span>2<\/span>\u00a0have been filled in between the plates of a capacitor as shown below. What will be the capacitance of the capacitor –\u00a0<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0(K<\/span>1<\/span>\u00a0+ K<\/span>2<\/span>)<\/span>\u00a0\u00a0<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>(2)\u00a0<\/span>\"\"\"\"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"\"\"\u00a0\u00a0<\/span><\/p>\n

Q.66<\/span><\/strong>\u00a0<\/span>A parallel plate capacitor with air as medium between the plates has a capacitance of<\/span>\u00a0\u00a0<\/span>10<\/span>\uf06d<\/span>F. The area of capacitor is divided into two equal halves and filled with two media having dielectric constant K<\/span>1<\/span>\u00a0= 2 and<\/span>\u00a0\u00a0<\/span>K<\/span>2<\/span>\u00a0= 4. The capacitance of the system will now be-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 10<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(2) 20\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>(3) 30\u00a0<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0<\/span>(4) 40\u00a0<\/span>\uf06d<\/span>F<\/span><\/p>\n

\u00a0<\/span><\/strong><\/p>\n

Q.67<\/span><\/strong>\u00a0<\/span>Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant K and thickness t (t < d) is introduced between the plates , its capacitance becomes-\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>(4)\u00a0<\/span>\"\"\u00a0<\/span><\/p>\n

Q.68<\/span><\/strong>\u00a0<\/span>If area of each plate is A and plates are separated from<\/span>\u00a0\u00a0<\/span>each other by a distance d then C<\/span>eq.<\/span>\u00a0between A and B is –<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span><\/p>\n

Q.69<\/span><\/strong>\u00a0<\/span>The<\/span>\u00a0\u00a0<\/span>capacitance of a capacitor, filled with two dielectrics of same dimensions but of dielectric constants K<\/span>1<\/span>\u00a0and K<\/span>2\u00a0<\/span>respectively as shown will be –<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0(K<\/span>1<\/span>\u00a0+ K<\/span>2<\/span>)<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0(K<\/span>1<\/span>\u00a0+ K<\/span>2<\/span>)<\/span>\u00a0<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>(4)\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span><\/p>\n

Q.70<\/span><\/strong>\u00a0<\/span>The capacitance of a parallel plate capacitor is 2.5<\/span>\uf06d<\/span>F when it is half filled with a dielectric as shown in the figure, Its capacitance becomes 5<\/span>\uf06d<\/span>F , the dielectric constant of the dielectric is-<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\"\"\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 7.5<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 3.0\u00a0<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 0.33<\/span>\u00a0<\/span>\u00a0<\/span>(4) 4.0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.71<\/span><\/strong>\u00a0<\/span>The capacitance of a spherical condenser is 1<\/span>\uf06d<\/span>F. If the spacing between the two spheres is 1mm, then the radius of<\/span>\u00a0\u00a0<\/span>the outer sphere is-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 30cm<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>\u00a0<\/span>(2) 6 m<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 5 cm<\/span>\u00a0<\/span>\u00a0<\/span>(4) 3m<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.72<\/span><\/strong>\u00a0<\/span>The capacitance (C) for an isolated conducting sphere of radius (a) is given by 4<\/span>\uf070\uf0ce<\/span>0<\/span>.a. If the sphere is enclosed with<\/span>\u00a0\u00a0<\/span>an earthed concentric sphere. The ratio of the radii of the sphere being (n\/n\u20131) then the capacitance of such a sphere will be increased by a factor –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) n<\/span>\u00a0<\/span>\u00a0<\/span>(2) n\/(n\u20131)<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) (n\u20131)\/n<\/span>\u00a0<\/span>\u00a0<\/span>(4) a.n<\/span><\/p>\n

Q.73<\/span><\/strong>\u00a0<\/span><\/strong>A<\/span>1<\/span>\u00a0\u00a0<\/span>is a spherical conductor of radius (r) placed concentrically inside a thin spherical hollow conductor A<\/span>2<\/span>\u00a0of radius (R). A<\/span>1<\/span>\u00a0is earthed and A<\/span>2<\/span>\u00a0is given a charge +Q then the charge on A<\/span>1<\/span>\u00a0is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) \u2013Q<\/span>\u00a0<\/span>\u00a0<\/span>(2) Qr\/R<\/span>\u00a0<\/span>(3) \u2013rQ\/R<\/span>\u00a0<\/span>\u00a0<\/span>(4) \u2013Q (R\u2013r)\/R<\/span><\/p>\n

Q.74<\/span><\/strong>\u00a0<\/span>Two spherical<\/span>\u00a0\u00a0<\/span>conductors A<\/span>1<\/span>\u00a0and A<\/span>2<\/span>\u00a0of<\/span>\u00a0\u00a0<\/span>radii (r<\/span>1<\/span>) and (r<\/span>2<\/span>) (r<\/span>2<\/span>\u00a0> r<\/span>1\u00a0<\/span>) are placed concentrically in air. A<\/span>1<\/span>\u00a0is given a charge +Q while A<\/span>2<\/span>\u00a0in earthed. Then the capacitance of the system is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 4<\/span>\uf070\uf0ce<\/span>0<\/span>\"\"\u00a0<\/span>(2) 4<\/span>\uf070\uf0ce<\/span>0\u00a0<\/span>(r<\/span>1<\/span>\u00a0+ r<\/span>2<\/span>)<\/span>\u00a0<\/span>\u00a0<\/span>(3) 4<\/span>\uf070\uf0ce<\/span>0\u00a0<\/span>. r<\/span>2<\/span>\u00a0<\/span>(4) 4<\/span>\uf070\uf0ce<\/span>0\u00a0<\/span>\"\"\u00a0<\/span><\/p>\n

Q.75<\/span><\/strong>\u00a0<\/span>A capacitor of capacitance 100\u00b5F is charged by connecting it to a battery of emf 12V and internal resistance 2<\/span>\uf057<\/span>. The time taken<\/span>\u00a0\u00a0<\/span>before 99% of the maximum charge is stored on the capacitor-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 0.92 ms<\/span>\u00a0<\/span>(2) 0.4 ms<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 0.8 ms<\/span>\u00a0<\/span>\u00a0<\/span>(4) 0.1 ms<\/span><\/p>\n

Q.76<\/span><\/strong>\u00a0<\/span>A capacitor of capacitance 0.1 \u00b5F is charged to certain potential and allow to discharge through a resistance of 10 M<\/span>\uf057\uf02e\uf020\uf020<\/span>How long will it take for the potential to fall to one half of its original value-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 0.1s<\/span>\u00a0<\/span>\u00a0<\/span>(2) 0.2346 s<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 1.386 s\u00a0<\/span>\u00a0<\/span>(4) 0.693 s<\/span><\/p>\n

Q.77<\/span><\/strong>\u00a0<\/span><\/strong>A 500<\/span>\uf06d<\/span>F capacitor is charged at a steady rate of<\/span>\u00a0\u00a0<\/span>100<\/span>\uf06d<\/span>C\/sec. The potential difference across the capacitor<\/span>\u00a0\u00a0<\/span>will be 10V after an interval of-<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 5 sec<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>.<\/span>\u00a0<\/span>(2) 20 sec.<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 25 sec.<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) 50 sec.<\/span><\/p>\n

Q.78<\/span><\/strong>\u00a0<\/span>A C. R series circuit is connected to a battery of e.m.f E. The time required by the capacitor to acquire maximum charge, depends upon –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) R only<\/span>\u00a0<\/span>\u00a0<\/span>(2) C only<\/span>\u00a0<\/span>(3) RC<\/span>\u00a0<\/span>\u00a0<\/span>(4) applied potential difference<\/span><\/p>\n

Q.79<\/span><\/strong>\u00a0<\/span><\/strong>Calculate the charge on the plates of the capacitor C in the given circuit –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) C \u00d7\u00a0<\/span>\"\"\u00a0<\/span>(2) C \u00d7\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3) C \u00d7\u00a0<\/span>\"\"\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) C \u00d7\u00a0<\/span>\"\"<\/p>\n

Q.80<\/span><\/strong>\u00a0<\/span>In the adjoining circuit diagram E = 5 volt,\u00a0<\/span>
\nr = 1 ohm , R<\/span>2<\/span>\u00a0= 4 ohm, R<\/span>1<\/span>\u00a0= R<\/span>3<\/span>\u00a0= 1 ohm and\u00a0<\/span>
\nC = 3<\/span>\uf06d<\/span>F. Then the numerical value of the charge on each plate of the capacitor is \u2013<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>\"\"<\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 24<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>\u00a0<\/span>(2) 12<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>(3) 6<\/span>\uf06d<\/span>C<\/span>\u00a0<\/span>\u00a0<\/span>(4) 3<\/span>\uf06d<\/span>C<\/span><\/p>\n

Q.81<\/span><\/strong>\u00a0<\/span><\/strong>Two condensers of capacities 2C and C are joined in parallel and charged upto potential V. The battery is removed and the condenser of capacity C is filled completely with a medium of dielectric constant<\/span>\u00a0\u00a0<\/span>K . The p.d. across the capacitors will now be –<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>(2)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(3)\u00a0<\/span>\"\"\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"<\/p>\n

Q.82<\/span><\/strong>\u00a0<\/span>0.2F capacitor is charged to 600V<\/span>\u00a0\u00a0<\/span>by a battery. On removing the battery. It is connected with another parallel plate condenser (1.0F). The potential decreases to-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

\u00a0<\/span><\/strong>\u00a0<\/span><\/strong>(1) 100 volts<\/span>\u00a0<\/span>(2) 120 volts<\/span>\u00a0<\/span>(3) 300 volts<\/span>\u00a0<\/span>(4) 600 volts<\/span><\/p>\n

Q.83<\/span><\/strong>\u00a0<\/span><\/strong>A 0.01<\/span>\uf06d<\/span>F capacitor is charged to a potential of<\/span>\u00a0\u00a0<\/span>500v. It is then connected to an instrument of input capacitance 1.0<\/span>\uf06d<\/span>F. The p.d across the instrument in V is now-\u00a0<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 1.00<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 4.95<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 5.00<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) 50.0<\/span><\/p>\n

Q.84<\/span><\/strong>\u00a0<\/span>A condenser of capacitance 10<\/span>\uf06d<\/span>F has been charged to 100V. It is now connected to another uncharged condenser. The common potential becomes 40V.<\/span>\u00a0\u00a0<\/span>The capacitance of another condenser is –<\/span><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) 5<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) 10<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 15<\/span>\uf06d<\/span>F<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) 20<\/span>\uf06d<\/span>F<\/span><\/p>\n

Q.85<\/span><\/strong>\u00a0<\/span>A capacitor having capacitance<\/span>\u00a0\u00a0<\/span>C<\/span>\u00a0\u00a0<\/span>is charged to a voltage V. It is then removed and connected in parallel with another identical capacitor which is uncharged. The new charge on each capacitor is now-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>\u00a0<\/span>(1) CV<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(2) CV\/2<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(3) 2CV<\/span>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>(4) CV\/4<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Q.86<\/span><\/strong>\u00a0<\/span>Two capacitors of capacities C<\/span>1<\/span>\u00a0and C<\/span>2<\/span>\u00a0are charged to voltages V<\/span>1<\/span>\u00a0and V<\/span>2<\/span>\u00a0respectively. There will be no exchange of energy in connecting them in parallel.<\/span>\u00a0\u00a0<\/span>If-<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/strong>\u00a0\u00a0 <\/span><\/strong><\/p>\n

\u00a0<\/span>(1) C<\/span>1<\/span>\u00a0= C<\/span>2<\/span>\u00a0<\/span>\u00a0<\/span>(2) C<\/span>1<\/span>V<\/span>1<\/span>\u00a0= C<\/span>2<\/span>V<\/span>2<\/span>\u00a0<\/span>\u00a0<\/span>(3) V<\/span>1<\/span>\u00a0= V<\/span>2<\/span>\u00a0<\/span>\u00a0<\/span>(4)\u00a0<\/span>\"\"\u00a0=\u00a0<\/span>\"\"<\/p>\n

\u00a0<\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span><\/p>\n

\n

\n

\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Electrostatics mcq\u00a0 Q.1\u00a0\u00a0The capacitance of a metallic sphere will be 1\uf06dF, if\u00a0\u00a0its radius is nearly-\u00a0\u00a0 \u00a0\u00a0(1) 9 km\u00a0\u00a0(2) 10 m\u00a0(3) 1.11 m\u00a0\u00a0(4) 1.11 cm Q.2\u00a0\u00a0The energy of a charged conductor is given by the expression-\u00a0\u00a0\u00a0 \u00a0\u00a0(1)\u00a0\u00a0\u00a0(2)\u00a0\u00a0(3) 2qC\u00a0\u00a0(4)\u00a0\u00a0 Q.3\u00a0\u00a0No current flows between two charged bodies connected together when they have the same- \u00a0\u00a0(1) capacitance or Q\/V 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charged conductor is given by the expression-\u00a0\u00a0\u00a0 \u00a0\u00a0(1)\u00a0\u00a0\u00a0(2)\u00a0\u00a0(3) 2qC\u00a0\u00a0(4)\u00a0\u00a0 Q.3\u00a0\u00a0No current flows between two charged bodies connected together when they have the same- \u00a0\u00a0(1) capacitance or Q\/V…","_links":{"self":[{"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/pages\/6053","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/comments?post=6053"}],"version-history":[{"count":1,"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/pages\/6053\/revisions"}],"predecessor-version":[{"id":6054,"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/pages\/6053\/revisions\/6054"}],"wp:attachment":[{"href":"https:\/\/vartmaaninstitutesirsa.com\/index.php\/wp-json\/wp\/v2\/media?parent=6053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}