If the radius of the earth were to shrink by 1%, the density remaining constant, the acceleration due to gravity on the surface of the earth will be : 

Concept:

The acceleration due to gravity is acceleration by which the earth attracts anything falling on earth by virtue of gravity is called acceleration due to gravity.

It is given by

-- (1)

G is Universal Gravitational Constant, M is the mass of the Earth, and r is the radius of the earth.

Calculation:

Given:

• Now, if the radius is reduced to 1% which means volume has been changed, without any change in density. New mass will be 
• Then the new gravitational constant is g'.

Then ,

Hence, the new gravity is less than that of old one.

If we reduce the radius by 1%, then g will also be reduced.

The correct option is (4).