# When a particle with charge $$+q$$ is thrown with an initial velocity $$v$$ towards another stationary change $$+Q,$$ it is repelled back after reaching the nearest distance $$r$$ from $$+Q.$$ The closest distance that it can reach if it is thrown with an initial velocity $$2v,$$ is: 1. $$\frac{r}{4}$$ 2. $$\frac{r}{2}$$ 3. $$\frac{r}{16}$$ 4. $$\frac{r}{8}$$

Subtopic:  Electric Potential Energy |
67%
From NCERT
NEET - 2022
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Given below are two statements:
 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.
Subtopic:  Electrostatic Shielding |
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Choose the correct statements among the following:
 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
Subtopic:  Capacitance |
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

 Assertion (A): Charge on an insolated capacitor does not change by introducing dielectric between the plates of the capacitor. Reason (R): Charge on an isolated system is conserved.

In the light of the above statements choose the correct answer from the options given below:

 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.
Subtopic:  Dielectrics in Capacitors |
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The figure shows charge ($$q$$) versus voltage ($$V$$) graph for series and parallel combination of two given capacitors. The capacitances are:

1. $$50$$ $$\mu F$$ and $$30$$ $$\mu F$$
2. $$20$$ $$\mu F$$ and $$30$$ $$\mu F$$
3. $$60$$ $$\mu F$$ and $$40$$ $$\mu F$$
4. $$40$$ $$\mu F$$ and $$10$$ $$\mu F$$
Subtopic:  Capacitance |
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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.

Subtopic:  Combination of Capacitors |
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From NCERT
AIPMT - 2003
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A capacitor of capacity C1 is charged up to V volt and then connected to an uncharged capacitor C2. Then final P.D. across each will be:

1. $\frac{{\mathrm{C}}_{2}\mathrm{V}}{{\mathrm{C}}_{1}+{\mathrm{C}}_{2}}$

2. $\frac{{\mathrm{C}}_{1}\mathrm{V}}{{\mathrm{C}}_{1}+{\mathrm{C}}_{2}}$

3. $\left(1+\frac{{\mathrm{C}}_{2}}{{\mathrm{C}}_{1}}\right)$

4. $\left(1-\frac{{\mathrm{C}}_{2}}{{\mathrm{C}}_{1}}\right)\mathrm{V}$

Subtopic:  Combination of Capacitors |
79%
From NCERT
AIPMT - 2002
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The energy and capacity of a charged parallel plate capacitor are $$E$$ and $$C$$ respectively. If a dielectric slab of ${}_{}$$$E_r=6$$ is inserted in it, then the energy and capacity become:
(Assuming the charge on plates remains constant)

 1 $$6 \mathrm E,~6 \mathrm C$$ 2 $$\mathrm E,~ \mathrm C$$ 3 $${E \over 6},~6 \mathrm C$$ 4 $$\mathrm E,~6 \mathrm C$$
Subtopic:  Energy stored in Capacitor |
75%
From NCERT
AIPMT - 1999
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An electric dipole has the magnitude of its charges as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively:

 1 q.E and p.E 2 zero and minimum 3 q.E and maximum 4 2q.E and minimum

Subtopic:  Energy of Dipole in an External Field |
77%
From NCERT
AIPMT - 2004
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A bullet of mass 2 g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?
1. 50 kV
2. 5 V
3. 50 V
4. 5 kV

Subtopic:  Electric Potential |
76%
From NCERT
AIPMT - 2004
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