Question

A spherical planet has a mass M_P and diameter D_P A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to 

(A) [(4GM_P) / (D_P²)] 

(B) [(GM_Pm) / (D_P²)] 

(C) [(GM_P) / (D_P²)] 

(D) [(4GM_Pm) / (D_P²)]

Answer 1

Correct option: (A) [(4GM_P) / (D_P²)]

Explanation:

g = (GM / R²)

here   M =M_P 

R = (D_P / 2)

g = [(GM_P) / (D_P / 2)²] = [(4GM_P) / (D_p²)]