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=Id2θdt2or d2θdt2=−ω2θ with ω2=pEI ⇒ω=pEI