An electric dipole is situated in an electric field of uniform intensity E/4 whose dipole moment is 2p 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
pE2I1/2
answer is D.
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Detailed Solution
When dipole is given a small angular displacement θ about it's equilibrium position, the restoring torque will beτ=− 2pE4sinθ=− pE2θ(as sin θ = θ)Id2θdt2=−pE2θ(as τ=Iα=Id2θdt2)ord2θdt2=−ω2withω2=pE2I⇒ω=pE2I
An electric dipole is situated in an electric field of uniform intensity E/4 whose dipole moment is 2p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is