Among the following statements, the true statement (s) is /are

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g is less at the earth’s surface than at a height above or at a depth below

g is same at all places on the surface of the earth

g has its maximum value at the equator

g is greater at the poles than at the equator

answer is D.

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Detailed Solution

We know,

$g = \frac{G M}{R^{2}}$

Where G is the universal gravitation constant, M is the mass of the planet and R is the radius of the planet.

Since the shape of the earth is not perfectly spherical, its radius is not the same everywhere. Hence the value of g is also not perfectly the same at all the places on the surface of the earth. The earth is a little flat at the poles, therefore the radius at the poles is less than the radius at the equator. Therefore, since g is inversely proportional to the radius, we can say that the g is greater at the poles than at the equator.

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