Question

If the mass of earth is increased by 25% without any change in its size. Then, its acceleration due to gravity:

• A. remains constant
• B. decreases by 25%
• C. increases by 25%
• D. may decrease by 25 % or remain constant

Answer 1

The correct option is C

increases by 25%

Solution

The acceleration due to gravity on earth is given by g = GM/R².

From the above equation, we observe that acceleration is directly proportional to the mass of the earth. So, if the mass of the earth is increased by 25 % and R is kept constant, the value of g will also increase by 25 %.