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Question

For the situation shown in the figure (assume r>> length of dipole) mark out the correct statement(s):
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  1. Force acting on the dipole is zero
  2. Force acting on the dipole is approximately PQ4πε0r3 and is acting upward
  3. Torque acting on the dipole is PQ4πε0r2 in clockwise direction
  4. Torque acting on the dipole is PQ4πε0r2 in anti-clockwise direction

A
Force acting on the dipole is approximately PQ4πε0r3 and is acting upward
B
Force acting on the dipole is zero
C
Torque acting on the dipole is PQ4πε0r2 in clockwise direction
D
Torque acting on the dipole is PQ4πε0r2 in anti-clockwise direction
Solution
Verified by Toppr

The force on charge due to dipole =QEdipole=kQp/r3 downwards.
By Newton's third law, every action has an equal and opposite reaction. Therefore the force on dipole due to Q is kQp/r3 upwards.
Also,
torque =p×E=p^j×kQ/r2^i=kpQ/r2^k

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