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.]

The weight of a body on the earth’s surface;

W = mg (where m = mass of the body and g = acceleration due to gravity)

The value of g is larger at poles when compared to the equator. So gold can weigh less at the equator as compared to the poles.

Solution

We know that The value of g is greater at the poles than at the equator

gold weight at poles is Wp = m X gp

gold weight at the equator is We = m X ge

 Hence, we can say gold weight at poles is more than gold weight at the equator, Hence, a friend at the equator will not match with the weight of gold bought from a place situated on poles.

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