An electric dipole of moment P ⃗ is placed in a uniform
electric field E ⃗ such that P ⃗ points along E ⃗ . If the dipole
is slightly rotated about an axis perpendicular to the plane
containing E ⃗ and P ⃗ and passing through the centre of
the dipole, the dipole executes simple harmonic motion.
Consider I to be the moment of inertia of the dipole about
the axis of rotation. What is the time period of such
oscillation?
(a) √(pE/ I) (b) 2π √(I / pE)
(c) 2π √(I / 2pE) (d) None of these
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Explanation:
An electric dipole of moment P ⃗ is placed in a uniform
electric field E ⃗ such that P ⃗ points along E ⃗ . If the dipole
is slightly rotated about an axis perpendicular to the plane
containing E ⃗ and P ⃗ and passing through the centre of
the dipole, the dipole executes simple harmonic motion.
Consider I to be the moment of inertia of the dipole about
the axis of rotation. What is the time period of such
oscillation?
(a) √(pE/ I) (b) 2π √(I / pE)
(c) 2π √(I / 2pE) (d) None of these
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0
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