If radius of the earth were to shrink by 1 % , its mass remaining the same, g would decrease by nearly

Step-by-step solution

If the radius of the earth were to shrink by one percent, mass remaining the same, the value of g will increase by 2 % . g = GM R ^2 If mass remains constant, then g 1 R ^2 aligned & % ~ increase in g=2( % ~ decrease in R ) & =2 1 %=2 % aligned Therefore value of g will increase by 2 % .