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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 6351. |
Two capacitors connected in parallel having the capacities \[{{C}_{1}}\]and \[{{C}_{2}}\] are given \['q'\] charge, which is distributed among them. The ratio of the charge on \[{{C}_{1}}\]and \[{{C}_{2}}\] will be [NCERT 1977; MP PET/PMT 1988] |
| A. | \[\frac{{{C}_{1}}}{{{C}_{2}}}\] |
| B. | \[\frac{{{C}_{2}}}{{{C}_{1}}}\] |
| C. | \[{{C}_{1}}{{C}_{2}}\] |
| D. | \[\frac{1}{{{C}_{1}}{{C}_{2}}}\] |
| Answer» B. \[\frac{{{C}_{2}}}{{{C}_{1}}}\] | |
| 6352. |
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 [MP Board 1988; MH CET 2001] |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 4 : 1 |
| D. | 1 : 4 |
| Answer» D. 1 : 4 | |
| 6353. |
Three capacitances of capacity\[10\mu F,\ 5\mu F\] and \[5\mu F\] are connected in parallel. The total capacity will be [MP PET/PMT 1988] |
| A. | \[10\mu F\] |
| B. | \[5\mu F\] |
| C. | \[20\mu F\] |
| D. | None of the above |
| Answer» D. None of the above | |
| 6354. |
Three capacitors of capacity \[{{C}_{1}},\ {{C}_{2}}\ {{C}_{3}}\] are connected in series. Their total capacity will be [MP Board 1977; MP PET/PMT 1988; CPMT 1996] |
| A. | \[{{C}_{1}}+{{C}_{2}}+{{C}_{3}}\] |
| B. | \[1/({{C}_{1}}+{{C}_{2}}+{{C}_{3}})\] |
| C. | \[{{(C_{1}^{-1}+C_{2}^{-1}+C_{3}^{-1})}^{-1}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 6355. |
The condensers of capacity \[{{C}_{1}}\]and \[{{C}_{2}}\] are connected in parallel, then the equivalent capacitance is [NCERT 1977; KCET 2000; DPMT 2002; MP PMT 2004] |
| A. | \[{{C}_{1}}+{{C}_{2}}\] |
| B. | \[\frac{{{C}_{1}}{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] |
| C. | \[\frac{{{C}_{1}}}{{{C}_{2}}}\] |
| D. | \[\frac{{{C}_{2}}}{{{C}_{1}}}\] |
| Answer» B. \[\frac{{{C}_{1}}{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] | |
| 6356. |
Two capacitances of capacity \[{{C}_{1}}\]and \[{{C}_{2}}\] are connected in series and potential difference \[V\] is applied across it. Then the potential difference across \[{{C}_{1}}\]will be [MP PMT 1985] |
| A. | \[V\frac{{{C}_{2}}}{{{C}_{1}}}\] |
| B. | \[V\frac{{{C}_{1}}+{{C}_{2}}}{{{C}_{1}}}\] |
| C. | \[V\frac{{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] |
| D. | \[V\frac{{{C}_{1}}}{{{C}_{1}}+{{C}_{2}}}\] |
| Answer» D. \[V\frac{{{C}_{1}}}{{{C}_{1}}+{{C}_{2}}}\] | |
| 6357. |
The capacitor of capacitance \[4\mu F\] and\[6\mu F\] are connected in series. A potential difference of \[500\ volts\] is applied to the outer plates of the two capacitor system. The potential difference across the plates of capacitor of \[4\mu F\] capacitance is |
| A. | \[500\ volts\] |
| B. | \[300\ volts\] |
| C. | \[200\ volts\] |
| D. | \[250\ volts\] |
| Answer» C. \[200\ volts\] | |
| 6358. |
. In the circuit diagram shown in the adjoining figure, the resultant capacitance between P and Q is [MP PET/PMT 1988] |
| A. | \[47\mu F\] |
| B. | \[3\mu F\] |
| C. | \[60\mu F\] |
| D. | \[10\mu F\] |
| Answer» C. \[60\mu F\] | |
| 6359. |
Two condensers of capacity \[0.3\mu F\] and \[0.6\mu F\] 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 [MP PMT 1990] |
| A. | \[\frac{1}{2}\] |
| B. | 2 |
| C. | \[\frac{1}{4}\] |
| D. | 4 |
| Answer» C. \[\frac{1}{4}\] | |
| 6360. |
Two capacitors each of \[1\mu F\] capacitance are connected in parallel and are then charged by \[200\ volts\] d.c. supply. The total energy of their charges (in joules) is [MP PMT 1990, 2002] |
| A. | 0.01 |
| B. | 0.02 |
| C. | 0.04 |
| D. | 0.06 |
| Answer» D. 0.06 | |
| 6361. |
In an adjoining figure are shown three capacitors \[{{C}_{1}}\],\[{{C}_{2}}\] and \[{{C}_{3}}\] joined to a battery. The correct condition will be (Symbols have their usual meanings) [CPMT 1988, 89] |
| A. | \[{{Q}_{1}}={{Q}_{2}}={{Q}_{3}}\] and \[{{V}_{1}}={{V}_{2}}={{V}_{3}}=V\] |
| B. | \[{{Q}_{1}}={{Q}_{2}}+{{Q}_{3}}\]and\[V={{V}_{1}}+{{V}_{2}}+{{V}_{3}}\] |
| C. | \[{{Q}_{1}}={{Q}_{2}}+{{Q}_{3}}\] and \[V={{V}_{1}}+{{V}_{2}}\] |
| D. | \[{{Q}_{2}}={{Q}_{3}}\] and \[{{V}_{2}}={{V}_{3}}\] |
| Answer» D. \[{{Q}_{2}}={{Q}_{3}}\] and \[{{V}_{2}}={{V}_{3}}\] | |
| 6362. |
Four condensers each of capacity \[4\mu F\] are connected as shown in figure. \[{{V}_{P}}-{{V}_{Q}}=15\,volts\]. The energy stored in the system is [CPMT 1976, 89] |
| A. | \[2400\ ergs\] |
| B. | \[1800\ ergs\] |
| C. | \[3600\ ergs\] |
| D. | \[5400\ ergs\] |
| Answer» C. \[3600\ ergs\] | |
| 6363. |
Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B, the charge stored is found to be 1.5 \[\mu C\]. The value of \[{{C}_{1}}\] is [Kerala PMT 2005] |
| A. | \[2.5\mu F\] |
| B. | \[15\,\mu F\] |
| C. | \[1.5\mu F\] |
| D. | \[0.1\mu F\] |
| Answer» E. | |
| 6364. |
A 10 mF capacitor is charged to a potential difference of 1000 V. The terminals of the charged capacitor are disconnected from the power supply and connected to the terminals of an uncharged 6mF capacitor. What is the final potential difference across each capacitor [Kerala PMT 2005] |
| A. | 167 V |
| B. | 100 V |
| C. | 625 V |
| D. | 250 V |
| Answer» D. 250 V | |
| 6365. |
Three capacitors of capacitance 1 mF, 2 mF and 3 mF are connected in series and a potential difference of 11 V is applied across the combination. Then, the potential difference across the plates of 1 mF capacitor is [DCE 2003] |
| A. | 2 V |
| B. | 4 V |
| C. | 1 V |
| D. | 6 V |
| Answer» E. | |
| 6366. |
Effective capacitance between A and B in the figure shown is (all capacitance are in mF) [KCET 2004] |
| A. | 21 mF |
| B. | 23 mF |
| C. | \[\frac{3}{14}\mu F\] |
| D. | \[\frac{14}{3}\mu F\] |
| Answer» E. | |
| 6367. |
Three capacitors 2, 3 and 6 mF are joined in series with each other. What is the minimum effective capacitance [Orissa PMT 2004] |
| A. | \[\frac{1}{2}\mu F\] |
| B. | 1 mF |
| C. | 2 mF |
| D. | 3 mF |
| Answer» C. 2 mF | |
| 6368. |
All six capacitors shown are identical, Each can withstand maximum 200 volts between its terminals. The maximum voltage that can be safely applied between A and B is [MP PMT 2004] |
| A. | 1200 V |
| B. | 400 V |
| C. | 800 V |
| D. | 200 V |
| Answer» C. 800 V | |
| 6369. |
Three plates of common surface area A are connected as shown. The effective capacitance will be [Orissa PMT 2004] |
| A. | \[\frac{{{\varepsilon }_{0}}A}{d}\] |
| B. | \[\frac{3{{\varepsilon }_{0}}A}{d}\] |
| C. | \[\frac{3}{2}\frac{{{\varepsilon }_{0}}A}{d}\] |
| D. | \[\frac{2{{\varepsilon }_{0}}A}{d}\] |
| Answer» E. | |
| 6370. |
Three capacitors of capacitances \[3\mu F,\ 9\mu F\] and \[18\mu F\] are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases \[\left( \frac{{{C}_{s}}}{{{C}_{p}}} \right)\] will be [CPMT 1990] |
| A. | 1 : 15 |
| B. | 15 : 1 |
| C. | 1 : 1 |
| D. | 1 : 3 |
| Answer» B. 15 : 1 | |
| 6371. |
In the figure a potential of + 1200 V is given to point A and point B is earthed, what is the potential at the point P [MP PMT 2004] |
| A. | 100 V |
| B. | 200 V |
| C. | 400 V |
| D. | 600 V |
| Answer» D. 600 V | |
| 6372. |
Two capacitors of capacitance 2mF and \[3\mu F\] are joined in series. Outer plate first capacitor is at 1000 volt and outer plate of second capacitor is earthed (grounded). Now the potential on inner plate of each capacitor will be [MP PMT 2003] |
| A. | 700 Volt |
| B. | 200 Volt |
| C. | 600 Volt |
| D. | 400 Volt |
| Answer» E. | |
| 6373. |
A series combination of three capacitors of capacities \[1\mu \,F,\,2\,\mu \,F\] and \[8\mu \,F\] is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of \[\,2\,\mu \,F\] capacitor will be [MP PET 2003] |
| A. | \[1V\] |
| B. | \[8V\] |
| C. | \[4V\] |
| D. | \[\frac{13}{3}V\] |
| Answer» D. \[\frac{13}{3}V\] | |
| 6374. |
A capacitor of capacity \[{{C}_{1}}\]is charged upto V volt and then connected to an uncharged capacitor of capacity \[{{C}_{2}}\]. Then final potential difference across each will be [MP PET 2000; CBSE PMT 2002; MP PET 2003] |
| A. | \[\frac{{{C}_{2}}V}{{{C}_{1}}+{{C}_{2}}}\] |
| B. | \[\left( 1+\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\] |
| C. | \[\frac{{{C}_{1}}V}{{{C}_{1}}+{{C}_{2}}}\] |
| D. | \[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\] |
| Answer» D. \[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\] | |
| 6375. |
Three capacitors of capacitance \[3\,\mu \,F\] are connected in a circuit. Then their maximum and minimum capacitances will be [RPET 2003] |
| A. | \[9\,\mu \,F\], \[1\,\mu \,F\] |
| B. | \[8\,\mu \,F\], \[2\,\mu \,F\] |
| C. | \[9\,\mu \,F\], \[0\,\mu \,F\] |
| D. | \[3\,\mu \,F\], \[2\,\mu \,F\] |
| Answer» B. \[8\,\mu \,F\], \[2\,\mu \,F\] | |
| 6376. |
Three capacitors each of capacity \[4\mu \,F\] are to be connected in such a way that the effective capacitance is \[6\,\mu \,F\]. This can be done by [CBSE PMT 2003] |
| A. | Connecting them in parallel |
| B. | Connecting two in series and one in parallel |
| C. | Connecting two in parallel and one in series |
| D. | Connecting all of them in series |
| Answer» C. Connecting two in parallel and one in series | |
| 6377. |
In the figure shown, the effective capacitance between the points A and B, if each has capacitance C, is [MP PET 2003] |
| A. | 2C |
| B. | \[\frac{C}{5}\] |
| C. | 5C |
| D. | \[\frac{C}{2}\] |
| Answer» B. \[\frac{C}{5}\] | |
| 6378. |
In the circuit as shown in the figure the effective capacitance between A and B is [KCET 2003] |
| A. | \[3\,\mu \,F\] |
| B. | \[2\,\mu \,F\] |
| C. | \[4\,\mu \,F\] |
| D. | \[8\,\mu \,F\] |
| Answer» D. \[8\,\mu \,F\] | |
| 6379. |
Four equal capacitors, each of capacity C, are arranged as shown. The effective capacitance between A and B is [MP PET 2003] |
| A. | \[\frac{5}{8}C\] |
| B. | \[\frac{3}{5}C\] |
| C. | \[\frac{5}{3}C\] |
| D. | C |
| Answer» D. C | |
| 6380. |
When two identical capacitors are in series have 3mF capacitance and when parallel 12mF. What is the capacitance of each [DPMT 2002] |
| A. | \[6\mu \,F\] |
| B. | \[3\mu \,F\] |
| C. | \[12\mu \,F\] |
| D. | \[9\mu \,F\] |
| Answer» B. \[3\mu \,F\] | |
| 6381. |
The charge on any one of the \[2\mu \,F\] capacitors and \[1\mu \,F\] capacitor will be given respectively (in \[\mu \,C\]) as [AMU (Med.) 2002] |
| A. | 1, 2 |
| B. | 2, 1 |
| C. | 1, 1 |
| D. | 2, 2 |
| Answer» E. | |
| 6382. |
Two capacitors of 1mF and 2mF are connected in series, the resultant capacitance will be [MP PET 2002] |
| A. | \[4\mu \,F\] |
| B. | \[\frac{2}{3}\mu \,F\] |
| C. | \[\frac{3}{2}\mu \,F\] |
| D. | \[3\mu \,F\] |
| Answer» C. \[\frac{3}{2}\mu \,F\] | |
| 6383. |
Two identical capacitors, have the same capacitance C. One of them is charged to potential \[{{V}_{1}}\] and the other to \[{{V}_{2}}\]. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is [IIT-JEE (Screening) 2002] |
| A. | \[\frac{1}{4}C(V_{1}^{2}-V_{2}^{2})\] |
| B. | \[\frac{1}{4}C(V_{1}^{2}+V_{2}^{2})\] |
| C. | \[\frac{1}{4}C{{\left( {{V}_{1}}-{{V}_{2}} \right)}^{2}}\] |
| D. | \[\frac{1}{4}C{{\left( {{V}_{1}}+{{V}_{2}} \right)}^{2}}\] |
| Answer» D. \[\frac{1}{4}C{{\left( {{V}_{1}}+{{V}_{2}} \right)}^{2}}\] | |
| 6384. |
A capacitor of 10mF charged up to 250 volts is connected in parallel with another capacitor of 5mF charged up to 100 volts. The common potential is [BHU 2002] |
| A. | 500 V |
| B. | 400 V |
| C. | 300 V |
| D. | 200 V |
| Answer» E. | |
| 6385. |
Two capacitors of capacitances \[3\mu \,F\] and \[6\mu F\] are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be [KCET 2002] |
| A. | 6 volt |
| B. | 4 volt |
| C. | 3 volt |
| D. | Zero |
| Answer» C. 3 volt | |
| 6386. |
Three capacitors of \[2\mu F,\,3\mu F\] and \[6\mu F\] are joined in series and the combination is charged by means of a 24 volt battery. The potential difference between the plates of the \[6\mu F\] capacitor is [MP PMT 2002] |
| A. | 4 volt |
| B. | 6 volt |
| C. | 8 volt |
| D. | 10 volt |
| Answer» B. 6 volt | |
| 6387. |
Two capacitors \[{{C}_{\text{1}}}\] and \[{{C}_{\text{2}}}=\text{ 2}{{C}_{\text{1}}}\] are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and \[{{C}_{\text{1}}}\] holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be [Orissa JEE 2002] |
| A. | \[Q,\,2Q\] |
| B. | \[Q/3,\,2Q/3\] |
| C. | \[3Q/2,\,3Q\] |
| D. | \[2Q/3,\,4Q/3\] |
| Answer» C. \[3Q/2,\,3Q\] | |
| 6388. |
In the given figure the capacitors \[{{C}_{1}},{{C}_{3}},{{C}_{4}},{{C}_{5}}\] have a capacitance 4mF each if the capacitor C2 has a capacitance 10mF, then effective capacitance between A and B will be [AIIMS 2002] |
| A. | 2mF |
| B. | 4mF |
| C. | 6mF |
| D. | 8mF |
| Answer» C. 6mF | |
| 6389. |
The effective capacity between A and B in the figure given is [Kerala PMT 2002] |
| A. | \[\frac{43}{24}\mu F\] |
| B. | \[\frac{24}{43}\mu F\] |
| C. | \[\frac{43}{12}\mu F\] |
| D. | \[\frac{12}{43}\mu F\] |
| Answer» C. \[\frac{43}{12}\mu F\] | |
| 6390. |
The equivalent capacitance between A and B is [Pb. PMT 2002] |
| A. | \[\frac{C}{4}\] |
| B. | \[\frac{3C}{4}\] |
| C. | \[\frac{C}{3}\] |
| D. | \[\frac{4C}{3}\] |
| Answer» E. | |
| 6391. |
Three capacitors each of capacitance \[1\mu F\]are connected in parallel. To this combination, a fourth capacitor of capacitance \[1\mu F\] is connected in series. The resultant capacitance of the system is [MP PMT 1985] |
| A. | \[4\mu F\] |
| B. | \[2\mu F\] |
| C. | \[\frac{4}{3}\mu F\] |
| D. | \[\frac{3}{4}\mu F\] |
| Answer» E. | |
| 6392. |
Two identical capacitors are joined in parallel, charged to a potential V and then separated and then connected in series \[i.e.\] the positive plate of one is connected to negative of the other [NCERT 1972, 73, 82; KCET 1993] |
| A. | The charges on the free plates connected together are destroyed |
| B. | The charges on the free plates are enhanced |
| C. | The energy stored in the system increases |
| D. | The potential difference in the free plates becomes \[2V\] |
| Answer» E. | |
| 6393. |
There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero [BHU 1997] |
| A. | \[\frac{1}{9}m\] |
| B. | \[\frac{1}{10}m\] |
| C. | \[\frac{1}{11}m\] |
| D. | \[\frac{10}{11}m\] |
| Answer» D. \[\frac{10}{11}m\] | |
| 6394. |
A rocket is launched with velocity 10 km/s. If radius of earth is R, then maximum height attained by it will be [RPET 1997] |
| A. | 2R |
| B. | 3R |
| C. | 4R |
| D. | 5R |
| Answer» D. 5R | |
| 6395. |
There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity [BHU 2005] |
| A. | \[{{(Kg)}^{1/2}}\] |
| B. | \[{{(Kg)}^{-1/2}}\] |
| C. | \[{{(Kg)}^{2}}\] |
| D. | \[{{(Kg)}^{-2}}\] |
| Answer» B. \[{{(Kg)}^{-1/2}}\] | |
| 6396. |
If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be [RPET 1997] |
| A. | \[\sqrt{\frac{GM}{2R}}\] |
| B. | \[\frac{GM}{R}\] |
| C. | \[\sqrt{\frac{2GM}{R}}\] |
| D. | \[\frac{GM}{2R}\] |
| Answer» C. \[\sqrt{\frac{2GM}{R}}\] | |
| 6397. |
Four particles each of mass M, are located at the vertices of a square with side L. The gravitational potential due to this at the centre of the square is [Kerala PET 2005] |
| A. | \[-\sqrt{32}\frac{GM}{L}\] |
| B. | \[-\sqrt{64}\frac{GM}{{{L}^{2}}}\] |
| C. | Zero |
| D. | \[\sqrt{32}\frac{GM}{L}\] |
| Answer» B. \[-\sqrt{64}\frac{GM}{{{L}^{2}}}\] | |
| 6398. |
The value of escape velocity on a certain planet is 2 km/s. Then the value of orbital speed for a satellite orbiting close to its surface is [DCE 2005] |
| A. | 12 km/s |
| B. | 1 km/s |
| C. | \[\sqrt{2}\]km/s |
| D. | \[2\sqrt{2}\,\,km/s\] |
| Answer» D. \[2\sqrt{2}\,\,km/s\] | |
| 6399. |
3 particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is [DCE 2005] |
| A. | Zero |
| B. | \[\frac{3GM}{{{L}^{2}}}\] |
| C. | \[\frac{9GM}{{{L}^{2}}}\] |
| D. | \[\frac{12}{\sqrt{3}}\,\frac{GM}{{{L}^{2}}}\] |
| Answer» B. \[\frac{3GM}{{{L}^{2}}}\] | |
| 6400. |
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is [CBSE PMT 2005] |
| A. | 2 |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{1}{\sqrt{2}}\] |
| D. | \[\sqrt{2}\] |
| Answer» C. \[\frac{1}{\sqrt{2}}\] | |