Two spheres each of mass M and radius R/2 are connected with a massless rod of length 2 R as shown in fig. (12). What will be the moment of inertia of the

system about an axis passing through the centre of one of the sphere and perpendicular to the rod ?

• A

  $\frac{21}{5}{\mathrm{MR}}^2$

• B

  $\frac{2}{5}{\mathrm{MR}}^2$

• C

  $\frac{5}{2}{\mathrm{MR}}^2$

• D

  $\frac{5}{21}{\mathrm{MR}}^2$