# If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would Option 1) decrease Option 2) remains unchanged Option 3) increase Option 4) none of these

As we learnt in

Percentage decrease in value of 'g' -

Variation in 'g'

- wherein

rate of decrease of gravity outside the earth (h<<R) is double of that of inside the earth.

If

g will increase by 2% .

Option 1)

decrease

This is incorrect option

Option 2)

remains unchanged

This is incorrect option

Option 3)

increase

This is correct option

Option 4)

none of these

This is incorrect option

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