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

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by:
A -
B -
C -
D -

Detailed Solution

Inside the earth ($r < R$) the field grows linearly with distance: $E = \frac{GMr}{R^3} \propto r$.
Outside ($r > R$) it falls off as $E = \frac{GM}{r^2} \propto \frac{1}{r^2}$.
So E rises as a straight line from zero at the centre to a maximum at r = R and then decreases as $\frac{1}{r^2}$.

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Practise Gravitational Field Intensity All 2 questions This chapter in 2014 AIPMT