Keeping the mass of the earth constant, if the radius of the earth decreases by 2%. What would be the change in .g.?

Keeping the mass of the earth constant, if the radius of the earth dec

1.	Keeping the mass of the earth constant, if the radius of the earth decreases by 2%. What would be the change in .g.?
Answer» Solution : We know that the relation between .g. and .G. is g= `(GM)/(R^2)` When mass is kept as 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 = -2(DeltaR)/(R) xx 100` % change in `g=-2 xx 2 = -4% ` -ve sign indicates that when R decreases .g. increases.