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A dipole with two electric charges of \(2\mu \mathrm{C}\) magnitude each, with separation distance \(0.5\mu \mathrm{m}\)…

Q1

A dipole with two electric charges of \(2\mu \mathrm{C}\) magnitude each, with separation distance \(0.5\mu \mathrm{m}\), is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential difference of \(5\) V is applied. Separation between the plates is \(0.5\) mm . If the dipole is rotated by \(30^\circ\) from the axis, it tends to realign in the direction due to a torque. The value of torque is :

[JEE Main 2025, 7 Apr (Shift 2)]

a

\(5\times {10}^{-9}\mathrm{Nm}\)

b

\(5\times {10}^{-3}\mathrm{Nm}\)

c

\(2.5\times {10}^{-12}\mathrm{Nm}\)

d

\(2.5\times {10}^{-9}\mathrm{Nm}\)

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