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Given below are two statements:
Statement $I:$ Rotation of the earth shows effect on the value of acceleration due to gravity $(g)$.
Statement $II:$ The effect of rotation of the earth on the value of $g$ at the equator is minimum and that at the pole is maximum.
In the light of the above statements, choose the correct answer from the options given below.
Statement $I$ is false but Statement $II$ is true.
Statement $I$ is true but Statement $II$ are false.
Both Statement $I$ and Statement $II$ are true.
Both Statement $I$ and Statement $II$ are false.
Solution
Statement $I$ is true due to centrifugal force.
Statement $II$ is incorrect,
At pole $g=g_s$ (no effect)
At equator $g=g_s-r \omega^2 \cos ^2 \lambda=g_s-r \omega^2$
$\therefore\left(\cos ^2 \lambda_{\text {maximum }}\right.$ at $\lambda=0^{\circ}$ i.e. at equator $)$
Effect is maximum at equator.
