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Q.

An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

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a

pEI1/2

b

pEI3/2

c

IpE1/2

d

pIE1/2

answer is A.

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Detailed Solution

When dipole is given a small angular displacement θ about its equilibrium position, the restoring torque will beτ=-pEsinθ=-pEθ( as sinθ=θ)  or Id2θdt2=-pEθ as τ=Iα=Id2θdt2  or d2θdt2=-ω2θ with ω2=pEI⇒ω=pEI
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