STANDARDPhysics-Electric Charges and Fields

STANDARD Physics Electric Dipole MCQ Question

Type: MCQ-numerical-Medium-Class 12

An electric dipole is placed at an angle of 30° with an electric field of intensity 2 × 10⁵ N C⁻¹. It experiences a torque equal to 4 N m. The charge on the dipole if the dipole length is 2 cm is

A

8 mC

B

4 mC

C

6 mC

D

2 mC

Correct Answer

Option D

Detailed Explanation

The torque τ experienced by a dipole in an electric field is given by τ = pE sin θ, where p is the dipole moment. Given τ = 4 Nm, E = 2 × 10⁵ N C⁻¹, θ = 30°, and dipole length l = 2 cm = 0.02 m. The dipole moment p = ql. Solving for q, we get q = τ / (E l sin θ) = 2 mC.

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