NEET Sample Paper NEET Sample Test Paper-85

  • question_answer
    The change in the value of 'g' at a height 'h' above the surface of the earth is the same as at a depth 'd' below the surface of the earth. When both ?d? and 'h' are much smaller than the radius of earth, then which one of the following relation is correct?

    A) \[d=\frac{3h}{2}\]

    B)                    \[d=\frac{h}{2}\]

    C) \[d=h\] 

    D)        \[d=2h\]

    Correct Answer: D

    Solution :

    [d] Variation of g with altitude is, \[gh=g\left[ 1-\frac{2h}{R} \right];\] variation of g with depth is, \[{{g}_{d}}=g\left[ 1-\frac{d}{R} \right]\] Equating \[{{g}_{h}}\] and \[{{g}_{d}},\] we get \[d=2h\]


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