Which of the following expressions gives the approximate value of acceleration due to…

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

Problem

Which of the following expressions gives the approximate value of acceleration due to gravity ghg_h at a small height hh above the Earth’s surface (where h≪Rh \ll R and RR is the Earth’s radius)? (a) g(1−hR)g\bigl(1 - \dfrac{h}{R}\bigr) (b) g(1−2hR)g\bigl(1 - \dfrac{2h}{R}\bigr) (c) g(1+2hR)g\bigl(1 + \dfrac{2h}{R}\bigr) (d) g(1−3h2R)g\bigl(1 - \dfrac{3h}{2R}\bigr)

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