1
BITSAT 2022
+3
-1

Which one of the following graphs represents the variation of electric potential with distance r from the centre of a non-conducting charged sphere of radius R?

A
B
C
D
2
BITSAT 2021
+3
-1

Four charges equal to + Q are placed at the four corners of a square and a charge ($$-$$q) is at its centre. If the system is in equilibrium, then the value of $$-$$q is

A
$$- {Q \over 4}(1 + 2\sqrt 2 )$$
B
$${Q \over 2}(2\sqrt 2 + 1)$$
C
$${Q \over 4}(1 + 2\sqrt 2 )$$
D
$${Q \over 4}(1 + \sqrt 2 )$$
3
BITSAT 2021
+3
-1

An electric dipole is placed at an angle of 30$$^\circ$$ in a non-uniform electric field. The dipole will experience

A
torque only
B
translational force only in the direction of the field
C
translational force only in a direction normal to the direction of the field
D
torque as well as a translational force
4
BITSAT 2020
+3
-1

A charge +q is placed at the origin O of XY-axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line AB is

A
$${{qQ} \over {4\pi {\varepsilon _0}}}\left( {{{a - b} \over {ab}}} \right)$$
B
$${{qQ} \over {4\pi {\varepsilon _0}}}\left( {{{b - a} \over {ab}}} \right)$$
C
$${{qQ} \over {4\pi {\varepsilon _0}}}\left( {{b \over {{a^2}}} - {1 \over b}} \right)$$
D
$${{qQ} \over {4\pi {\varepsilon _0}}}\left( {{a \over {{b^2}}} - {1 \over b}} \right)$$
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