For a height above Earth’s surface where

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

Problem

For a height hh above Earth’s surface where h≪Rh \ll R, which of the following is the correct approximate expression for the weight of a body of mass mm? (a) mg(1+2hR)mg\bigl(1 + 2\dfrac{h}{R}\bigr) (b) mg(1−hR)mg\bigl(1 - \dfrac{h}{R}\bigr) (c) mg(1−2hR)mg\bigl(1 - 2\dfrac{h}{R}\bigr) (d) mg(1−h2R2)mg\bigl(1 - \dfrac{h^{2}}{R^{2}}\bigr)

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