Given below are two statements: Statement I: Rotation of the earth… | JEE Main 2023 (10 Apr, Shift 2)

Q63JEE Main 2023 · 10 APR · SHIFT 2Easy

Acceleration Due to Gravity

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

Show answer and solution

Answer: (b)

$g' = g - \omega^2 R\cos^2\lambda$ , so rotation does change $g$ . Statement I is true.
At the equator ( $\lambda = 0$ ) the reduction $\omega^2R$ is maximum; at the poles ( $\lambda = 90^\circ$ ) it is zero. Statement II is false.
So the answer is (b).

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