A body weight W newton at the surface of t

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A body weight $ W $ newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be

A

$\frac{W}{2}$

B

$\frac{{2W}}{3}$

C

$\frac{{4W}}{9}$

D

$\frac{{8W}}{{27}}$

A body weight $ W $ newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be

$g' = g\,{\left( {\frac{R}{{R + h}}} \right)^2} = \frac{4}{9}g$

$\therefore \,\,W' = \frac{4}{9}W$