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If the radius of earth decreases by 1% and its mass remains same, then the acceleration due to gravity

a)

increases by 1%

b)

decreases by 1%

c)

increases by 2%

d)

decreases by 2%



Question ID - 54605 | SaraNextGen Top Answer

If the radius of earth decreases by 1% and its mass remains same, then the acceleration due to gravity

a)

increases by 1%

b)

decreases by 1%

c)

increases by 2%

d)

decreases by 2%

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

If  be mass of earth and  its radius, the acceleration due to gravity is given by

Where,  is gravitational constant.

From Eq. (i), we get

Hence, acceleration due to gravity increases by

Hence, percentage increases =2%.

127 votes


127