Statement-1 : A body weight `W` newton on the surface of the earth. Its weight at a height equal to half the radius of the earth will be `2 W//5`.
Statement-2 : `g' = g.(R^(2))/((R + h)^(2))`

Options

A. Statement -1 is true , Statement -2 is true , Statement-2 is a correct explanation of Statement -1.
B. Statement -1 is true , Statement-2 is true , Statement-2 is a correct explanation of Statement-1.
C. Statement-1 is true , Statement-2 is false.
D. Statement-1 is false , Statement-2 is true.

Answer

D

Explanation

Here statement-1 is wrong and statement-2 is correct. As
`W = mg = (GMm)/(R^(2))`
and `W' = mg' = (GMm)/((R + h)^(2))`
`= (GMm)/((R + R//2)^(2)) = (4)/(9) W`