Question

if the radius of earth shrink by two percent mass remaining constant then how would the value of acceleration due to gravity change

Answer 1

the value of g is increases if the radius of the earth is shrik by 2 percent and mass remain constant .

Answer 2

acceleration due to gravity (g) depends on mass (m) and radius (r) of the earth as

$g = \frac{gm}{{r}^{2} }$
if mass is constant then "g" is inversely proportional to the square of Radius of the earth.

$\frac{g2}{g1} = \frac{ {(r1)}^{2} }{(r2) {}^{2} } = \ { (\frac{100}{98} )}^{2}$
so,
$g2 = {( \frac{100}{98} )}^{2} \times g$