RAJASTHAN PMT Rajasthan - PMT Solved Paper-1999

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

    A)  6 hour                 

    B)         12 hour

    C)  24 hour               

    D)         3 hour

    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 \[\omega \]becomes four time. So, duration of day\[\begin{align}   & =\frac{24}{4} \\  & =6\,\text{hrs} \\ \end{align}\]


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