If orbit velocity of planet is given by `v = G^(a)M^(b)R^(c)`, then

Options

A. `a = (1)/(3),b=(1)/(3),c=-(1)/(3)`
B. `a=(1)/(3),b=(1)/(2),c=-(1)/(2)`
C. `a=(1)/(2), b=-(1)/(2),c=(1)/(2)`
D. `a=(1)/(2),b=-(1)/(2),c=-(1)/(2)`

Answer

B

Explanation

`v=sqrt((GM)/(R))=G^(1//2)M^(1//2)R^(-1//2)`