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Question

A dipole consists of two particles one with charge +1 μC and mass 1 kg and the other with charge 1 μC and mass 2 kg separated by a distance of 3 m. For small oscillations about its equilibrium position, the angular frequency, when placed in a uniform electric field of 20 kV/m is

A
0.1 rad/s
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B
1.1 rad/s
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C
10 rad/s
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D
2.5 rad/s
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Solution

The correct option is A 0.1 rad/s

τ=qE2sinθ+qEsinθ
=3qEsinθ
τnet=3qEθ
Iα=3qEθ
α=3qEθI......(1)
For angular SHM α=ω2θ.....(2)
From (1) and (2)
ω=3qEI
=3×1×106×20×1036
=1100=0.1 rad/sec

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