RAJASTHAN ­ PET Rajasthan PET Solved Paper-2007

  • question_answer
    Find the ratio of acceleration due to gravity g at depth d and at height A, where, d = 2h.

    A)  1 : 1             

    B)  1 : 2

    C)  2 : 1             

    D)  1 : 4

    Correct Answer: A

    Solution :

     At depth d the gravity \[{{g}_{d}}=g\left( 1-\frac{d}{R} \right)\] at height\[h\] \[{{g}_{h}}=g\left( 1-\frac{2h}{R} \right)\] But        \[d=2h\] \[\therefore \] \[{{g}_{d}}=g\left( 1-\frac{2h}{R} \right)\] \[{{g}_{d}}={{g}_{h}}\] or        \[\frac{{{g}_{d}}}{{{g}_{h}}}=1:1\]


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