A circular coil of radius \( \mathrm{R} \) and a current \( \mathrm...

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A circular coil of radius \( \mathrm{R} \) and a current \( \mathrm{I} \), which can rotate about a fixed axis passing through its diameter is initially placed such that its plane lies along magnetic field B. Kinetic energy of loop when it rotates through an angle \( 90^{\circ} \) is : (Assume that I remains constant)
(A) \( \pi R^{2} \mathrm{BI} \)
(B) \( \frac{\pi R^{2} B I}{2} \)
(C) \( 2 \pi \mathrm{R}^{2} \mathrm{BI} \)
(D) \( \frac{3}{2} \pi R^{2} I \)
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