COMEDK · Physics · 9. Gravitation

If the earth were to spin faster, acceleration due to gravity at the poles

A increases
B decreases
C remains the same
D depends on how fast it spins

Verified Solution

Answer & Solution

Correct Answer

(C) remains the same

Step-by-step Solution

Detailed explanation

The acceleration due to gravity \(g'\) at a latitude \(\lambda\) is given by the formula \(g' = g - \omega^{2} R \cos^{2} \lambda\), where \(g\) is the acceleration due to gravity at the poles (or in the absence of rotation), \(\omega\) is the angular velocity of the earth, and…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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