The acceleration due to gravity at a hei

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Target Exam

CUET

Subject

Physics

Chapter

Gravitation

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:

d = 2 km

d = 1/2 km

d = 1 km

d = 3/2 km

Correct Answer:

d = 2 km

Explanation:

Above the surface :

g' = g (1 - $\frac{2h}{R_e}$ )

$\Delta g$ = g $\frac{2h}{R_e}$

Below earth surface :

g' = g (1 - $\frac{d}{R_e}$ )

$\Delta g$ = g $\frac{d}{R_e}$

⇒ d = 2h = 2 x 1 km = 2 km