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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 36

  • question_answer
    If the earth is supposed to be a sphere of radius R, \[g30{}^\circ \] is the value of acceleration due to gravity at latitude of \[30{}^\circ \] and g at the equator, the value of g- \[g30{}^\circ \] is -

    A) \[\frac{1}{4}{{\omega }^{2}}R\]          

    B)        \[\frac{3}{4}{{\omega }^{2}}R\]

    C) \[{{\omega }^{2}}R\]              

    D)        \[\frac{1}{2}{{\omega }^{2}}R\]

    Correct Answer: B

    Solution :

    [b] \[g-{{g}_{30{}^\circ }}={{\omega }^{2}}R{{\cos }^{2}}^{C}30{}^\circ =\frac{3}{4}{{\omega }^{2}}R\]


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