NEET Physics Gravitation / गुरुत्वाकर्षण NEET PYQ-Gravitation

  • question_answer
    The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then             [NEET-2017]

    A) \[d=2\,km\]

    B) \[d=\frac{1}{2}\,km\]

    C) \[d=\,1\,\,km\]

    D) \[d=\frac{3}{2}\,km\]

    Correct Answer: A

    Solution :

    [a] Above earth surface below earth surface
                \[g'=g\left( 1-\frac{2h}{{{R}_{e}}} \right)\] 
                \[g'=g\left( 1-\frac{d}{{{R}_{e}}} \right)\]
    \[\Delta g'=g\frac{2h}{{{R}_{e}}}\]                    ….(i)    
    \[\Delta g=g\frac{d}{{{R}_{e}}}\]                      …(ii)
    From (1) & (2)
    \[d=2h\]
    \[d=2\times 1\text{ }km\]


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