The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assu

Question

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is shown in figure below
(1)

(2)

(3)

(4)

The correct figure is

Accepted Answer

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

g′ = 0 at d = R
i.e., acceleration due to gravity is zero at the centre of earth.
Thuus, the variation in value of g with r is
For r > R,

⇒ g′ ∝

Here, R + h = r
For r < R, g′ = g

Here, R - d = r ⇒ g′ ∝ r
Therefore, the variation of g with distace from centre of the earth will be as shown in the figure.

Question

Options

Solution

More Gravitation Questions