If the radius of the earth were to shrink by 2% its mass remaining the same, by how much percentage would the acceleration due to gravity on the earth's surface would increase?

g=GMR2 (if R increases, g decreases)Taking logarithms on both the sides, we getlog⁡g=log⁡G+log⁡M−2log⁡RDifferentiating, we get dgg=0+0−2dRRdgg=−2−2100=4100% increase in g=dgg×100=4100×100=4%