The acceleration due to gravity at height h above the earth if h < R (Radius of earth) is given by
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C
The acceleration due to gravity g 1 at a height h from the surface of Earth is given by
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Use the method of binomial expansion to obtain the approximate expression for the acceleration due to gravity at a particular height from the surface of the Earth.


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The formula to calculate the acceleration due to gravity at the surface of the Earth is given by
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Divide equation by equation and simplify to obtain the required relation.



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