# As per this diagram, a point charge $$\mathrm{+q}$$ is placed at the origin $$\mathrm{O}.$$ Work done in taking another point charge $$\mathrm{-Q}$$ from the point $$\mathrm{A},$$ coordinates $$(\mathrm{0,a}),$$ to another point $$\mathrm{B},$$ coordinates $$(\mathrm{a,0}),$$ along the straight path $$\mathrm{AB}$$ is:        1. $$\left(\frac{-\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$ 2. zero 3. $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \frac{1}{\sqrt{2}}$$ 4. $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$

Subtopic:  Electric Potential Energy |
85%
From NCERT
AIPMT - 2005
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A network of four capacitors of capacity equal to is conducted to a battery as shown in the figure. The ratio of the charges on is:

1. $\frac{7}{4}$

2. $\frac{22}{3}$

3. $\frac{3}{22}$

4. $\frac{4}{7}$

Subtopic:  Combination of Capacitors |
70%
From NCERT
AIPMT - 2005
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The effective capacity of the network between terminals $$\mathrm{A}$$ and $$\mathrm{B}$$ is:

1. $$6~\mu\text{F}~$$
2. $$20~\mu\text{F} ~$$
3. $$3~\mu\text{F}~$$
4. $$10~\mu\text{F}$$

Subtopic:  Combination of Capacitors |
90%
From NCERT
AIPMT - 1999
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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is 10 V, then the potential of the big drop will be:

 1 40 V 2 10 V 3 30 V 4 20 V
Subtopic:  Electric Potential |
74%
From NCERT
AIPMT - 1999
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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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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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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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Some charge is being given to a conductor. Then it's potential:

 1 is maximum at the surface. 2 is maximum at the centre. 3 remains the same throughout the conductor. 4 is maximum somewhere between the surface and the centre.

Subtopic:  Electrostatic Shielding |
74%
From NCERT
AIPMT - 2002
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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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If identical charges (–q) are placed at each corner of a cube of side 'b' then the electrical potential energy of charge (+q) which is placed at centre of the cube will be:

1. $\frac{-4\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

2. $\frac{-8\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

3. $\frac{-4{\mathrm{q}}^{2}}{\sqrt{3}{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

4. $\frac{8\sqrt{2}{\mathrm{q}}^{2}}{4{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

Subtopic:  Electric Potential Energy |
63%
From NCERT
AIPMT - 2002
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