An object weighs on the Earth’s surface where

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

An object weighs

98\,\text{N}

on the Earth’s surface where

g = 9.8\,\text{m s}^{-2}

. At what approximate depth

d

below the surface will its weight reduce to

49\,\text{N}

, if the variation of

g

with depth is linear? (Take Earth’s radius

R = 6400\,\text{km}

.) (a)

1.6\times10^{3}\,\text{km}

(b)

3.2\times10^{3}\,\text{km}

(c)

4.5\times10^{3}\,\text{km}

(d)

1.9\times10^{3}\,\text{km}