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MGIMS WARDHA MGIMS WARDHA Solved Paper-2013

  • question_answer
    If the change in the value of g at a height h above the surface of the earth is the same as at a depth x below in surface, then

    A)  \[x={{h}^{2}}\]                

    B)  \[x=0.5h\]         

    C)  \[x=2h\]                             

    D)  \[x=h\]

    Correct Answer: C

    Solution :

                    \[g=g\left( 1-\frac{2h}{R} \right)\] \[\Rightarrow \]          \[g=g\left( 1-\frac{x}{R} \right)\] \[g=g\] \[\Rightarrow \]\[g\left( 1-\frac{2h}{R} \right)=g\left( 1-\frac{x}{R} \right)\] \[x=2h\]


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