Keeping the density of the earth constant, if the radius of the earth decreases by 2% , what would be thechange in ‘g.?

Keeping the density of the earth constant, if the radius of the earth

1.	Keeping the density of the earth constant, if the radius of the earth decreases by 2% , what would be thechange in ‘g.?
Answer» Solution : Relation between acceleration DUE to gravity g and radius of earth (R) in terms of density is `g = 4/3 pi Grho. R` When density is kept CONSTANT and radius is DECREASED by 2% then `(Delta R)/(R) XX 100 = 2` from distribution of errors in multiplications and divisions `(Delta g)/(g) xx 100 = (Delta R)/(R) xx 100 = 2%` When density is constant and radius of earth decreases by 2% then decrease in g value is also 2%.