Given below are two statements:Statement I: R | vedclass

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(B) The effective acceleration due to gravity $g'$ at a latitude $\lambda$ is given by $g' = g - R\omega^2 \cos^2 \lambda$.Statement $I$ is true becau

Vedclass · Accepted Answer

Statement $I$ is true but Statement $II$ is false.

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(B) The effective acceleration due to gravity $g'$ at a latitude $\lambda$ is given by $g' = g - R\omega^2 \cos^2 \lambda$.Statement $I$ is true because the rotation of the earth introduces a centrifugal force,which modifies the effective acceleration due to gravity.Statement $II$ is false. At the poles,$\lambda = 90^{\circ}$,so $\cos 90^{\circ} = 0$,meaning the effect is zero (minimum). At the equator,$\lambda = 0^{\circ}$,so $\cos 0^{\circ} = 1$,meaning the effect is $R\omega^2$,which is the maximum reduction in $g$.Therefore,Statement $I$ is true and Statement $II$ is false.

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