The weight of an object at the centre of the Earth of radius R is ________________.

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zero

R times the weight at the surface of the Earth

infinite

$\frac{1}{R_{2}}$ times the weight at surface of the Earth

answer is B.

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Detailed Solution

The weight of the body at the surface of the earth can be equal to zero.

The acceleration due to gravity will be maximum on the surface of the earth and as we head towards the centre of the equator it will become zero.
The acceleration due to gravity will vary due to the shape of the earth.
The radius of the earth will be more at the equator than at the poles. Thus, the value of g at the centre of the earth will be zero.

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