Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? [Hint : The value of g is greater at the poles than at the equator.]

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Solution

Let $m$ be the mass of the gold bought.
Also, let the acceleration due to gravity at poles and at equator be $g_{p}$ and $g_{e}$ respectively.
Acceleration due to gravity at poles is slightly greater than that at equator.
$∴$ Weight of gold at poles $W_{p} = m g_{p}$
Weight of gold at equator $W_{e} = m g_{e}$
But as $g_{e} < g_{p}$ $⟹ W_{p} > W_{e}$
Hence the weight of gold is slightly less at equator.
So the friend will not agree with Amit about the weight of gold bought.

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