A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in same surroundings. If the temperature difference between the body and that of...

A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in same surroundings. If the temperature difference between the body and that of the surroundings is T, then—

(a) both spheres will cool at the same rate for small values of T.

(b) both spheres will cool at the same rate for all values of T

(c) the hollow sphere will cool at a faster rate for all the values of T.

(d) the solid sphere will cool at faster rate for all the values of T