The value of ' ' at a particular point is . Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of ' ' at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will now be
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. Since and are constant, so
If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration on the surface of the planet is
We know that,
If the radius of the earth were to shrink by , with its mass remaining the same, the acceleration due to gravity on the earth's surface would
decrease by
increase by
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