Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2343: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2343 Solution: Charges +q and -q are placed at points A and B respectively…

Charges +q and -q are placed at points A and B respectively which are a distance 2L apart C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is qQ2πϵ0L\frac{qQ}{2\pi\epsilon_0 L} qQ6πϵ0L\frac{qQ}{6\pi\epsilon_0 L} −qQ6πϵ0L-\frac{qQ}{6\pi\epsilon_0 L} qQ4πϵ0L\frac{qQ}{4\pi\epsilon_0 L}

Multiple Choice Options

  • A 2qa\sqrt 2 qa 2 _ q a along the line joining points (x = 0, y = 0, z = 0) and (x = aa a , y = a, z = 0)
  • B q aa a along the line joining points (x = 0, y = 0, z = 0) and (x = aa a , y = a, z = 0)
  • C 2qa\sqrt 2 qa 2 _ q a along +x direction
  • D 2qa\sqrt 2 qa 2 _ q a along +y direction.

Step-by-Step Verified Solution

This consists of two dipoles, �q and +q with dipole moment along with the +y-direction and �q and +q along the x-direction. _ The resultant moment = q 2 a 2 + q 2 a 2 = 2 q a Along the direction 45� that is along OP where P is (+a, +a, 0).

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