1. d = 1 km 2. d = 3/2 km 3. d = 2 km 4. d = 1/2 km

Answer: 3. d = 2 km Key idea: at height h (small): g'=g(1-2h/R) . At depth d : g'=g(1-d/R) . Equating: 2h/R=d/R⇒ d=2h=2 km.

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 :

1. d = 1 km

2. d = \(\frac32\) km

3. d = 2 km

4. d = \(\frac12\) km

Doubtly Asked 30 Oct 2026 NEET UG 2017 Practice test neet Save WhatsApp Report

Best answer

Answer: 3. d = 2 km

Key idea: at height \(h\) (small): \(g'=g\left(1-\dfrac{2h}{R}\right)\). At depth \(d\): \(g'=g\left(1-\dfrac dR\right)\).

Equating: \(\dfrac{2h}{R}=\dfrac dR\Rightarrow d=2h=2\) km.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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