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 -
(1) 1840 keV
(2) 1/1840 keV
(3) 1 keV
(4) 920 keV
A thin spherical conducting shell of radius \(R\) has a charge \(q.\) Another charge \(Q\) is placed at the centre of the shell. The electrostatic potential at a point \(P\) which is at a distance \(\frac{R}{2}\) from the centre of the shell is:
1. \(\frac{\left( q + Q \right)}{4 \pi \varepsilon_{0}} \frac{2}{R}\)
2. \(\frac{2 Q}{4 \pi \varepsilon_{0} R}\)
3. \(\frac{2 Q}{4 \pi \varepsilon_{0} R} - \frac{2 q}{4 \pi \varepsilon_{0} R}\)
4. \(\frac{2 Q}{4 \pi \varepsilon_{0} R} + \frac{q}{4 \pi \varepsilon_{0} R}\)
A charge of \(10\) e.s.u. is placed at a distance of \(2\) cm from a charge of \(40\) e.s.u. and \(4\) cm from another charge of \(20\) e.s.u. The potential energy of the charge \(10\) e.s.u. is: (in ergs)
1. | \(87.5\) | 2. | \(112.5\) |
3. | \(150\) | 4. | \(250\) |
A sphere of 4 cm radius is suspended within a hollow sphere of 6 cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer sphere is earthed. The charge on the inner sphere is
(1) 54 e.s.u.
(2) e.s.u.
(3) 30 e.s.u.
(4) 36 e.s.u.
When one electron is taken towards the other electron, then the electric potential energy of the system -
(1) Decreases
(2) Increases
(3) Remains unchanged
(4) Becomes zero
Four charges are placed at the corners of a square taken in order. At the centre of the square
(1)
(2)
(3)
(4)
Point charge q1 = 2 μC and q2 = –1 μC are kept at points x = 0 and x = 6 respectively. Electrical potential will be zero at points
(1) x = 2 and x = 9
(2) x = 1 and x = 5
(3) x = 4 and x = 12
(4) x = –2 and x = 2
Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are
(1) Planes parallel to yz-plane
(2) Planes parallel to xy-plane
(3) Planes parallel to xz-plane
(4) Coaxial cylinders of increasing radii around the x-axis
A bullet of mass 2 gm 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) 5 kV
(2) 50 kV
(3) 5 V
(4) 50 V
In a certain charge distribution, all points having zero potential can be joined by a circle \(S\). Points inside \(S\) have positive potential, and points outside \(S\) have a negative potential. A positive charge, which is free to move, is placed inside \(S\). What is the correct statement about \(S\):
1. | It will remain in equilibrium | 2. | It can move inside \(S\), but it cannot cross \(S\) |
3. | It must cross \(S\) at some time | 4. | It may move, but will ultimately return to its starting point |