AIIMS AIIMS Solved Paper-2014

  • question_answer
    Assertion If the ice on the polar caps of the earth melts, then length of day will increase. Reason Moment of inertia of the earth increases, as ice on polar caps melts. In each of the flowing questions, two statements are given. One is portion and the other is reason. Examine the statement carefully and mark the correct answer according to the instruction given below

    A)  If both the assertion and reason are true and reason explains the assertion.

    B) If both the assertion and reason are true but reason does not explain the assertion.

    C) If assertion is true but reason is false.

    D) If assertion is false but reason is true.

    Correct Answer: A

    Solution :

                    When the ice on the polar caps melts, the mass concentrated near the axis of rotation is spread out. The moment of inertia of system increases. Since, no external torque acts on the system. \[l\omega =\] constant. Therefore, if \[l\] increases, the angular speed will decrease. So. the time period of rotation of the earth \[\left( T=\frac{2\pi }{\omega } \right)\] increases i.e., the duration of the day will increase.


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