The variation of acceleration due to gravity | vedclass

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(A) The acceleration due to gravity $(g)$ at a distance $(r)$ from the center of the earth is given by:$1$. Inside the earth $(r \leq R)$: $g = \frac{

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(A) The acceleration due to gravity $(g)$ at a distance $(r)$ from the center of the earth is given by:$1$. Inside the earth $(r \leq R)$: $g = \frac{GMr}{R^3}$. Here,$g$ is directly proportional to $r$ $(g \propto r)$,which represents a straight line passing through the origin.$2$. Outside the earth $(r \geq R)$: $g = \frac{GM}{r^2}$. Here,$g$ is inversely proportional to the square of the distance $(g \propto 1/r^2)$,which represents a parabolic curve.Thus,the graph shows a linear increase up to $r = R$ and a non-linear decrease for $r > R$. This corresponds to the graph shown in option $A$.

The variation of acceleration due to gravity $(g)$ with distance $(r)$ from the center of the earth is correctly represented by ... (Given $R =$ radius of earth)

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