Solveeit Logo

Question

Physics Question on Gravitation

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented by
(Given R = radius of earth)

A

acceleration due to gravity

B

acceleration due to gravity

C

acceleration due to gravity

D

acceleration due to gravity

Answer

acceleration due to gravity

Explanation

Solution

For r<Rr < R
g=GmrR3=Crg = \frac{Gmr}{R^3} = Cr (C=Constant)
For r>Rr > R
g=GmR2=Cr2g = \frac{Gm}{R^2} = \frac{C}{r^2} (C=Constant)(C =Constant)

So, for the above equations the best suited graph is as given in option (A)