A circular coil of 16 turns and radius 10cm carries a current of 0.75 A and rest with its plane normal to an external magnetic field of \[5.0\times {{10}^{-2}}T\]. The coil is free to rotate about its stable equilibrium position with a frequency of \[2.0\,{{s}^{-1}}\] Compute the moment of inertia of the coil about its axis of rotation.

• A. \[3.4\times {{10}^{-5}}\,kg\,{{m}^{2}}\] 
• B. \[1.2\times {{10}^{-4}}\,kg\,{{m}^{2}}\]
• C. \[2.6\times {{10}^{-4}}\,kg\,{{m}^{2}}\]  
• D.        \[4.7\times {{10}^{-5}}\,kg\,{{m}^{2}}\]