AIIMS 2000 Physics Moment of Inertia and Angular Momentum Assertion Reason Question
Assertion: If polar ice melts, days will be longer.
Reason: Moment of inertia increases and thus angular velocity decreases.
Both A and R are true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A.
A is true but R is false.
A is false but R is true.
Correct Answer
Detailed Explanation
The assertion states that if polar ice melts, days will be longer. This is true because the melting of polar ice reduces the mass concentrated at the poles, which affects the Earth's moment of inertia. According to the conservation of angular momentum, if the moment of inertia increases, the angular velocity must decrease to keep angular momentum constant. This means that the length of a day will increase. Thus, the reason provided correctly explains the assertion.
For the other options:
- Option B is incorrect because while both statements are true, the reason is indeed the correct explanation for the assertion.
- Option C is incorrect as both the assertion and reason are true.
- Option D is also incorrect since the assertion is true and the reason is true as well.
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