The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then: - Physics MCQ NEET (UG) 2017 2026 | ExamTest.live

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The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:

Solution & Step-by-step Explanation

Variation of g with height h (for h ≪ R): g_{h} = g (1 - \frac{2 h}{R}) .Variation of g with depth d : g_{d} = g (1 - \frac{d}{R}) .Given g_{h} = g_{d} : 1 - \frac{2 h}{R} = 1 - \frac{d}{R} d = 2 h Given h = 1 km, d = 2 \times 1 = 2 km .

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The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:

d = 1 km

d = \frac{3}{2} km

d = 2 km

d = \frac{1}{2} km

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