Question

Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density p remains uniform throughout the volume. The rate of fractional change in density \((\frac{1}{p}\frac{dp}{dt})\) is constant. The velocity v of any point on the surface of the expanding sphere is proportional to

(A) R

(B) R³

(C) 1/R

(D) R^2/3

Answer 1

Correct option is (A) R