Question

The height at which the weight of a body becomes $1 / 16^{\text {th }}$, its weight on the surface of earth (radius R), is

• A. 5R
• B. 15R
• C. 3R
• D. 4R

Answer 1

Answer: (C)

3R

Answer 2

$\frac{ W _{ h }}{ W }=\frac{ mg }{ mg }=\left(\frac{ R }{ R + h }\right)^{2}=\frac{1}{16}$
$\therefore h =3\, R$