A small coil of N turns has an effective area A and carries a current I. It is suspended in a horizontal magnetic field $\stackrel{.}{B}$ such that its plane is perpendicular to $\stackrel{.}{B}$. The work done in rotating it by $180°$ about the vertical axis is

(a) $NAIB$                               (b) $2NAIB$

(c) $2\mathrm{\pi NAIB}$                          (d) $4\mathrm{\pi }NAIB$

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