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9th Class Science Gravitation and Floatation Question Bank Gravitation Conceptive Objective Problems

  • question_answer
                    If the change in the value of g at a height above the surface of the earth is the same as at a depth\[x\]below it, and when both x and h are much smaller than the radius of the earth then

    A)  \[x=h\]                               

    B)  \[x=2h\]

    C)  \[x=\frac{h}{2}\]                            

    D)  \[x=\frac{3h}{2}\]

    Correct Answer: B

    Solution :

       \[{{g}_{h}}=\left( 1-\frac{2h}{R} \right),\,\,{{g}_{d}}=g\left( 1-\frac{d}{R} \right)\] Given, \[{{g}_{h}}=\,\,{{g}_{d}}\] \[\Rightarrow 1-\frac{2h}{R}=1-\frac{X}{R}\Rightarrow R-2h=R-x\] \[\therefore x=2h\]


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