If the radius of the earth decreases by 10%, the mass remaining unchanged, what will happen to the acceleration due to gravity?

g=GMR2                         ..........(i)g′=Gm90100R2=10081GMR2        .........(ii)From Eqs. (i) and (ii),g′=10081g⇒g′g=10081g′g−1=10081−1∴ Δg=1981g=23% of gSo increase is more than 19% of g.