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Physics Gravitation Acceleration Due to Gravity MCQ (Single Correct)

The dependence of acceleration due to gravity on the distance r from the centre of the earth assumed to be a sphere of radius R of uniform density is as shown figure below .

(i) (ii)

(iii) (iv)

The correct figure is.

A
(i)
B
(ii)
C
(iii)
D
(iv)

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Text Solution

Verified by Experts
The correct answer is:
D

The acceleration due to gravity at a depth d below the surface of earth is

….. (i)

Where R – d = r = distance of locations form the centre of the earth. When r = 0, g` = 0

From (i) g r till R = r, for which g` = g

For r > R,

Here, R + h = r

Therefore, the variation of g with distance r from centre of earth will be as shown in figure (4).Thus,

options is correct.

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