An electric dipole experiences a torque 5√2 Nm when placed at the 45° in an uniform electric field .The magnitude of the potential energy of the dipole is
(a)2√2 J
(b)4√2 J
(c)5√2 J
(d)3√2 J
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Torque, τ=PEsin θ=2Qlsin θ
Here l is the length of the dipole, Q is the charge and E is the electric field.
Potential energy, U=−PEcos θ=−2Qlcos θ
Uτ=−2Qlcosθ2Qlsinθ (where P=qd) =−tanθUτ=−tanθU=−tan 600τ=−383=−8 joule
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