MHT CET202617 April 2026Morning ShiftPhysicsElectrostaticsActual
An electric dipole of length 3 cm is placed with its axis making an angle of 60^ with a uniform electric field of 5 10^4 N/C. It experiences a torque of 9 3 Nm. The magnitude of charge on the dipole is ( 60^ = 3 2 )
Options
- A0.6 10⁻² C
- B1.2 10⁻² C
- C1.8 10⁻² C
- D2.4 10⁻² C
Correct answer
B. 1.2 10⁻² C
Step-by-step solution
The torque experienced by an electric dipole in a uniform electric field is given by = pE Since the dipole moment is p = q d , where d is the length of the dipole, the equation becomes: = q d E Given = 9 3 Nm, d = 3 10⁻² m, E = 5 10^4 N/C, and = 60^ . Substituting these values: 9 3 = q (3 10⁻²) (5 10^4) 60^ 9 3 = q 1500 3 2 18 = 1500 q q = 18 1500 = 1.2 10⁻² C Answer: 1.2 10⁻² C