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JEE Main 2022 · 29 Jul · Shift 1, Physics question 52

If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a depth αh (h << Re_e) from the earth surface. The value of α will be _______.

(use Re_e = 6400 km)

Answer and worked solution

Official answer: 2

Small h. g(1−2hR)=g(1−αhR)g\left(1-\frac{2h}{R}\right)=g\left(1-\frac{\alpha h}{R}\right) gives α=2\alpha=2.

Answer: 2

Topics:Variation of g
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