Electric potential and capacitors -DPP5(ISC)

Inside a hollow charged spherical conductor, the potential

• $-\frac{Q}{2}$

• $-\frac{Q}{4}$

• $+\frac{Q}{2}$

• $+\frac{Q}{4}$

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

• $\frac{q^2}{8\pi\epsilon_oa}$

• $\frac{6q^2}{8\pi\epsilon_oa}$

• $\frac{-7q^2}{8\pi\epsilon_oa}$

• $\frac{9q^2}{8\pi\epsilon_oa}$

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

• $\frac{1}{3\ }V$

• $\frac{2}{3\ }V$

• $\frac{3}{2}V$

• $3V$

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

• $\frac{1}{4\pi\epsilon_o}\frac{2q}{\sqrt{a^2+b^2}}$

• zero

• $\frac{1}{4\pi\epsilon_o}\frac{q}{\sqrt{a^2+b^2}}$

• $\frac{1}{4\pi\epsilon_o}\frac{-q}{\sqrt{a^2+b^2}}$

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

• $V\sqrt{\frac{e}{m}}$

• $\sqrt{\frac{Ve}{m}}$

• $\sqrt{\frac{2Ve}{m}}$

• $\frac{2Ve}{m}$

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

• 2V

• 4V

• 8V

• 16V

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

• 1840 keV

• 1/1840 keV

• 1 keV

• 920 keV

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

• 5 eV

• 10eV

• 100 eV

• 2000eV

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

• Inversely proportional to square of the distance

• Directly proportional to square of the distance

• Inversely proportional to the distance

• Directly proportional to the distance

The points resembling equal potentials are

• P and Q

• S and Q

• S and R

• P and R