MGIMS WARDHA MGIMS WARDHA Solved Paper-2012

  • question_answer
    If we made half the radius of earth, then duration of day will become

    A)  6 h                                        

    B)  12 h

    C)  24 h                                      

    D)  3 h

    Correct Answer: A

    Solution :

                    For rotating earth its angular momentum\[{{I}_{\omega }}\]remains constant. If radius is halved then its moment of inertia\[(I)\]will become one fourth. for\[{{I}_{\omega }}\]to remain constant. Its angular velocity cd becomes four time. So, duration of day\[=\frac{24}{4}=6h\]


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