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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

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B

decreases by 25%

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C

increases by 25%

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D

may decrease by 25 % or remain constant

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Solution

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 %.


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