Two opposite and equal charges $4 \times {10^{ - 8}}\,coulomb$ when placed $2 \times {10^{ - 2}}\,cm$ away, form a dipole. If this dipole is placed in an external electric field $4 \times {10^8}\,newton/coulomb$, the value of maximum torque and the work done in rotating it through $180^\circ $ will be
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(d) Dipole moment $p = 4 × 10^{-8} × 2 × 10^{-4} = 8 × 10^{-12} \,m$
Maximum torque $= pE = 8 × 10^{-12} × 4 × 10^8$
= $32 × 10^{-4} \,Nm$
Work done in rotating through $180^o = 2pE$
= $2 × 32 × 10^{-4} = 64 × 10^{-4} \,J$
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