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Electric potential and capacitors -DPP5(ISC)

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Inside a hollow charged spherical conductor, the potential

a)

Q2-\frac{Q}{2}

b)

Q4-\frac{Q}{4}

c)

+Q2+\frac{Q}{2}

d)

+Q4+\frac{Q}{4}

2.

Two equal charges q are placed at a distance of 2a and a third charge -2q is placed at the midpoint. The potential energy of the system is

a)

q28πϵoa\frac{q^2}{8\pi\epsilon_oa}

b)

6q28πϵoa\frac{6q^2}{8\pi\epsilon_oa}

c)

7q28πϵoa\frac{-7q^2}{8\pi\epsilon_oa}

d)

9q28πϵoa\frac{9q^2}{8\pi\epsilon_oa}

3.

If a charged spherical conductor of radius 10cm has potential at a point distant 5cm from its centre, then the potential at a point distant 15cm from the centre will be

a)

13 V\frac{1}{3\ }V

b)

23 V\frac{2}{3\ }V

c)

32V\frac{3}{2}V

d)

3V3V

4.

As shown in the figure, charges +q and -q are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is

a)

14πϵo2qa2+b2\frac{1}{4\pi\epsilon_o}\frac{2q}{\sqrt{a^2+b^2}}

b)

zero

c)

14πϵoqa2+b2\frac{1}{4\pi\epsilon_o}\frac{q}{\sqrt{a^2+b^2}}

d)

14πϵoqa2+b2\frac{1}{4\pi\epsilon_o}\frac{-q}{\sqrt{a^2+b^2}}

5.

An electron of mass and charge e is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be

a)

VemV\sqrt{\frac{e}{m}}

b)

Vem\sqrt{\frac{Ve}{m}}

c)

2Vem\sqrt{\frac{2Ve}{m}}

d)

2Vem\frac{2Ve}{m}

6.

The radius of a soap bubble whose potential is 16V is doubled. The new potential of the bubble will be

a)

2V

b)

4V

c)

8V

d)

16V

7.

A proton is about 1840 times heavier than an electron. When it is accelerated by a potential difference of 1 kV, its kinetic energy will be

a)

1840 keV

b)

1/1840 keV

c)

1 keV

d)

920 keV

8.

A particle has a mass 400 times than that of the electron and charge is double than that of a electron. It is accelerated by 5V of potential difference. Initially the particle was at rest, then its final kinetic energy will be

a)

5 eV

b)

10eV

c)

100 eV

d)

2000eV

9.

Value of potential at a point due to a point charge is

a)

Inversely proportional to square of the distance

b)

Directly proportional to square of the distance

c)

Inversely proportional to the distance

d)

Directly proportional to the distance

10.

The points resembling equal potentials are

a)

P and Q

b)

S and Q

c)

S and R

d)

P and R