NEET Solved Paper 2017 Question 6

Question: 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

Options:

A) $ d=2,km $

B) $ d=\frac{1}{2},km $

C) $ d=,1,km $

D) $ d=\frac{ \begin{aligned} & 3 \\ & 3 \\ \end{aligned}}{2},km $

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Answer:

Correct Answer: A

Solution:

Above earth surface Below earth surface $ g’=g( 1-\frac{2h}{R _{e}} ) $ $ g’=g( 1-\frac{d}{R _{e}} ) $ $ \Delta g’=g\frac{2h}{R _{e}} $ ..(i)

$ \Delta g=g\frac{d}{R _{e}} $ ..(ii)

From (1) & (2) d = 2h d = 2 × 1 km