Question

Given below are two statement:
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

• A. Both statement I and statement II are false
• B. statement I is true but statement II is false
• C. Both statement I and statement II are true
• D. statement I is false but statement II is true

Answer 1

The Correct Option is B

To solve this question, we need to understand the concepts relating to the acceleration due to gravity (g) and how the Earth's rotation impacts it.

Statement I: "Rotation of the earth shows effect on the value of acceleration due to gravity (g)."

The acceleration due to gravity (g) is affected by the Earth's rotation. This is because of the centrifugal force that arises due to rotation. At the equator, the centrifugal force is maximum due to the rotational speed, which slightly reduces the effective gravity experienced. Therefore, Statement I is true.

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."

This statement is incorrect. The effect of the Earth's rotation is most significant at the equator where the centrifugal force is maximum and it acts outward, reducing the effective gravity observed. At the poles, the centrifugal force is negligible because the axis of rotation passes through the poles. Therefore, the rotation effect is minimum at the poles, not maximum.

Thus, statement II is false because its description of the effect of Earth's rotation on g is incorrect.

Based on this analysis, the correct answer is: "statement I is true but statement II is false".