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Q.

Assertion : If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places.
Reason : The value of acceleration due to gravity is independent of rotation of earth.

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a

If the assertion and reason both are false.

b

If assertion is true but reason is false.

c

If both assertion and reason are true but reason is not the correct explanation of the assertion.

d

If both assertion and reason are true and the reason is the correct explanation of the assertion.

answer is C.

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Detailed Solution

The value of g at any place is given by the relation, $g^{'} = g - ω^{2} R_{e} \cos^{2} λ$ When $λ$ is angle of latitude and $ω$ is the angular velocity of earth. If earth suddenly stops rotating, then $ω = 0$
$∴ g^{'} = g$ i.e., the value of g will be same at all places.

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Assertion : If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places. Reason : The value of acceleration due to gravity is independent of rotation of earth.