If both the mass and the radius of the earth decrease by $1\%$ , the value of the acceleration due to gravity will 

A body weights $49\,N$ on a spring balance at the north pole. ..... $N$ will be its weight recorded on the same weighing machine, if it is shifted to the equator?

(Use $g=\frac{G M}{R^{2}}=9.8 \,ms ^{-2}$ and radius of earth, $R =6400\, km .]$

Weight of a body of mass $m$ decreases by $1\%$ when it is raised to height $h$ above  the Earth's surface. If the body is taken to a depth $h$ in a mine, then its weight will

At what distance above and below the surface of the earth a body will have same weight, (take radius of earth as $R$.)

What is the depth at which the value of acceleration due to gravity becomes $\frac{1}{n}$ times the value that at the surface of earth? (radius of earth $=R$ )

At the surface of a certain planet, acceleration due to gravity is one-quarter of that on earth. If a brass ball is transported to this planet, then which one of the following statements is not correct