Question
Physics Question on Newtons Laws of Motion
Acceleration due to gravity at a height of H from the surface of a plane is the same as that at a depth of H below the surface.If R is the radius of the planet, then H vs. R graph for different planets will be
A
B
C
D
Answer
Explanation
Solution
The acceleration due to gravity at height ℎ h is given by ℎ′=gh ′=g(1− hR 2), and at depth d it's gd ′=g(1− dR ). Equating these expressions gives g(1− hR 2)=g(1− dR ), which simplifies to R 2 h =Rd or 2ℎ d =2 h.
The correct answer is option (C):
