Question

Explain why the value of is zero at the centre of the earth.

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Updated on : 2022-09-05
Solution
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At the centre of Earth, the force due to upper half of the Earth will cancel the force due to lower half. In the similar manner, force due to any portion of the Earth at the centre will be cancelled due to the portion opposite to it. Thus, the gravitational force at the centre on any body will be . Since, from Newton's law, we know . Since, mass of an object can never be . Therefore, when , then has to be . Thus, the value of is zero at the centre of Earth.

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