Dear Aman, the acceleration due to gravity will increase by 2%.

g=GMR^-2

On differentiating,

dg/dr= -2× g/R

Negative sign accounts for the decrease in the radius.

Now substituting dr as -1, we get dg = 2 times a quantity.

Thus accelerationddue to gravity increases by 2%.

All the best

Hope this helps

Hello there!

Greetings!

If acceleration due to gravity on earth(g) = G.M/R²,

then weight of the body = mg;

where G is gravitation constant, M is mass of earth and R is the radius.

Now if the radius is reduced by half it means g is reduces by 1/4th because it is inversely proportional to the square of radius.

And weight of the body is directly proportional to g, it will also reduce by a factor of 4.

Thankyou