First slide

Variation of g

Question

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

Easy

A
B
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D

Solution

For a point inside the earth i.e. r < R
$E = - \frac{G M}{R^{3}} r$
where M and R be mass and radius of the earth respectively. At the centre, r = 0
$∴ E = 0$
For a point outside the earth i.e. r > R,
$E = - \frac{G M}{r^{2}}$
On the surface of the earth i.e. r = R
$E = - \frac{G M}{R^{2}}$
The variation of E with distance r from the centre is as shown in the figure.

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