A cylinder of mass M and radius R is fixed on a frictionless axle over a well. A rope of negotiable mass is wrapped around the cylinder . A bucket of mass m is suspended from it. The linear acceleration of the bucket will be

Question

$\begin{array}{1 1} (a)\;\frac{mg}{M+m} & \quad (b)\;\frac{2mg}{M+m} \\ (c)\;\frac{2mg}{M+2m} & \quad (d)\;\frac{2 mg}{2M+m} \end{array}$