Assertion (A): If earth stops rotating about its axis, then the value of acceleration due to gravity increases everywhere, except at the poles.nReason (R): The value of acceleration due to gravity is maximum at the poles.
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
Solution:
Assertion (A): The effective gravity is given by \(g' = g - Romega^2cos^2lambda\). If \(omega = 0\), then \(g' = g\). This causes \(g\) to increase everywhere except at poles (where \(coslambda = 0\)). So (A) is true.nReason (R): Due to rotation and equatorial bulge, \(g\) is maximum at poles and minimum at the equator. So (R) is true.n(R) correctly explains (A) as the effect of rotation explains the variation.
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