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

Question

Assertion: At the centre of earth a body has centre of mass, but no centre of gravity. Reason: This is because g = 0 at the centre of earth. (A) If both the assertion and reason are true and reason explains the assertion. (B) If both the assertion and reason are true but reason does not explain the assertion. (C) If assertion is true but reason is false. (D) If assertion is false but reason is true.

Tardigrade Admin · Accepted Answer

At the centre of earth, g=0 ∴ 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

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

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.

At the centre of earth, $g = 0$
$∴$ 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

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