Q. No.Given below are two statements:
Assertion (A):
The charge on an isolated capacitor does not change by introducing a dielectric between the plates of the capacitor.
Reason (R):
Charge on an isolated system is conserved.
1.
Both (A) and (R) are True and (R) is the correct explanation of (A).
2.
Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.
(A) is True but (R) is False.
4.
(A) is False but (R) is True.
A positively charged particle \(+q\) is projected with speed \(v\) toward a fixed charge \(+Q,\) and rebounds after reaching a minimum distance \(r.\) What will be the new closest distance of approach if its initial velocity is doubled to \(2v\text{?}\)
| 1. | \(\dfrac{r}{4}\) | 2. | \(\dfrac{r}{2}\) |
| 3. | \(\dfrac{r}{16}\) | 4. | \(\dfrac{r}{8}\) |
| Assertion (A): | A metallic shield in the form of a hollow shell may be built to block an electric field. |
| Reason (R): | In a hollow spherical shield, the electric field inside it is zero at every point. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| A: | Free electrons move always from a region of higher potential to a region of lower potential. |
| B: | The capacitance of the capacitor does not depend upon the nature of the conducting material of the plates of the capacitor. |
| 1. | only A | 2. | only B |
| 3. | both A and B | 4. | neither A and B |
1. \(50~\mu\text{F}\) and \(30~\mu\text{F}\)
2. \(20~\mu\text{F}\) and \(30~\mu\text{F}\)
3. \(60~\mu\text{F}\) and \(40~\mu\text{F}\)
4. \(40~\mu\text{F}\) and \(10~\mu\text{F}\)
Three capacitors each of capacity \(4\) µF are to be connected in such a way that the effective capacitance is \(6\) µF. This can be done by:
| 1. | connecting all of them in a series. |
| 2. | connecting them in parallel. |
| 3. | connecting two in series and one in parallel. |
| 4. | connecting two in parallel and one in series. |
A capacitor of capacity \(C_1\) is charged up to \(V\) volt and then connected to an uncharged capacitor \(C_2\). Then final P.D. across each will be:
1. \(\frac{C_{2} V}{C_{1} + C_{2}}\)
2. \(\frac{C_{1} V}{C_{1} + C_{2}}\)
3. \(\left(1 + \frac{C_{2}}{C_{1}}\right)\)
4. \(\left(1 - \frac{C_{2}}{C_{1}} \right) V\)
(Assuming the charge on plates remains constant)
| 1. | \(6 E,6 C\) | 2. | \( E,C\) |
| 3. | \(\frac{E}{6},6C\) | 4. | \(E,6C\) |
| 1. | \(q\cdot E\) and \(p\cdot E \) |
| 2. | zero and minimum |
| 3. | \(q\cdot E\) and maximum |
| 4. | \(2q\cdot E\) and minimum |
A bullet of mass \(2~\text {gm}\) has a charge of \(2~\mu\text{C}.\) Through what potential difference must it be accelerated, starting from rest, to acquire a speed of \(10~\text{m/s}?\)
1. \(50~\text {kV}\)
2. \(5~\text {V}\)
3. \(50~\text {V}\)
4. \(5~\text {kV}\)
© 2026 GoodEd Technologies Pvt. Ltd.