Question:

At the centre of earth a body has centre of mass, but no centre of gravity. This is because $g = 0$ at the centre of earth.

Updated On: Jul 28, 2022
  • If both the assertion and reason are true and reason explains the assertion.
  • If both the assertion and reason are true but reason does not explain the assertion.
  • If assertion is true but reason is false.
  • If assertion is false but reason is true.
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The Correct Option is A

Solution and Explanation

At the centre of earth, $g=0$ $\therefore$ A body has no weight at the centre of earth. and hence no certre of gravity But centre of mass of a body is not related to gravity. So. centre of mass exist
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Concepts Used:

Center of Mass

The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated.

The formula for the Centre of Mass:

Center of Gravity

The imaginary point through which on an object or a system, the force of Gravity is acted upon is known as the Centre of Gravity of that system. Usually, it is assumed while doing mechanical problems that the gravitational field is uniform which means that the Centre of Gravity and the Centre of Mass is at the same position.