150175 A circular coil of radius \(9 \mathrm{~cm}\) carrying a current of \(2 \mathrm{~A}\) is free to rotate about an axis in its plane perpendicular to an external magnetic field of \(\pi \times 10^{-2} \mathrm{~T}\). When the coil is tuned slightly and released, it oscillates about its stable equilibrium with a time period of \(\frac{1}{3} \mathrm{~s}\). If the moment of inertia of the coil about its axis of rotation is \(9 \times 10^{-5} \mathbf{k g m}^{2}\), the number of turns of the coil is
150175 A circular coil of radius \(9 \mathrm{~cm}\) carrying a current of \(2 \mathrm{~A}\) is free to rotate about an axis in its plane perpendicular to an external magnetic field of \(\pi \times 10^{-2} \mathrm{~T}\). When the coil is tuned slightly and released, it oscillates about its stable equilibrium with a time period of \(\frac{1}{3} \mathrm{~s}\). If the moment of inertia of the coil about its axis of rotation is \(9 \times 10^{-5} \mathbf{k g m}^{2}\), the number of turns of the coil is
150175 A circular coil of radius \(9 \mathrm{~cm}\) carrying a current of \(2 \mathrm{~A}\) is free to rotate about an axis in its plane perpendicular to an external magnetic field of \(\pi \times 10^{-2} \mathrm{~T}\). When the coil is tuned slightly and released, it oscillates about its stable equilibrium with a time period of \(\frac{1}{3} \mathrm{~s}\). If the moment of inertia of the coil about its axis of rotation is \(9 \times 10^{-5} \mathbf{k g m}^{2}\), the number of turns of the coil is
150175 A circular coil of radius \(9 \mathrm{~cm}\) carrying a current of \(2 \mathrm{~A}\) is free to rotate about an axis in its plane perpendicular to an external magnetic field of \(\pi \times 10^{-2} \mathrm{~T}\). When the coil is tuned slightly and released, it oscillates about its stable equilibrium with a time period of \(\frac{1}{3} \mathrm{~s}\). If the moment of inertia of the coil about its axis of rotation is \(9 \times 10^{-5} \mathbf{k g m}^{2}\), the number of turns of the coil is