অভিকর্ষ ও অভিকর্ষজ ত্বরণ

A body is taken to a height of nRnR from the surface of the earth. The ratio of the acceleration due to gravity on the surface to that at the altitude is

হানি নাটস

Acceleration due to gravity at the surface of the earth=g=GMR2g=\dfrac{GM}{R^2}

where RR is the radius of earth.

Acceleration due to gravity at height nR=g′=GM(R+nR)2=GMR21(n+1)2nR=g'=\dfrac{GM}{(R+nR)^2}=\dfrac{GM}{R^2}\dfrac{1}{(n+1)^2}

  ⟹  gg′=(n+1)2\implies \dfrac{g}{g'}=(n+1)^2

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