A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses `m_(1) and m_(2)(m_(1)gtm_(2))` are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when `m_(1)` descents by a distance h is :

Options

A. `[(m_(1)+m_(2))/((m_(1)+m_(2))hR^(2)+1)]^(1/2)gh`
B. `[(2(m_(1)+m_(2))gh)/((m_(1)+m_(2))R^(2)+1)]^(1/2)`
C. `[(m_(1)-m_(2))/((m_(1)+m_(2))R^(2)+1)]^(1/2)gh`
D. `[(2(m_(1)-m_(2))gh)/((m_(1)+m_(2))R^(2)+1)]^(1/2`