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Two identical satellites are at the heights $R$ and $7 R$ from the earth's surface. Then which of the following statement is incorrect :–
( $R =$ Radius of the earth)

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Ratio of potential energy of both $4$

Ratio of total energy of both is $5$

Ratio of kinetic energy of both is $4$

Ratio of total energy of both is $4$

answer is A.

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Detailed Solution

$T E_{1} = - \frac{G M m}{2 (R + R)} = - \frac{G M m}{4 R} T E_{2} = - \frac{G M m}{2 (R + 7 R)} = - \frac{G M m}{16 R}$

$\frac{T E_{1}}{T E_{2}} = \frac{4}{1}$

$\frac{K E_{1}}{K E_{2}} = \frac{- \frac{G M m}{4 R}}{- \frac{G M m}{16 R}} = \frac{4}{1}$

$\frac{P E_{1}}{P E_{2}} = \frac{- \frac{G M m}{R + R}}{- \frac{G M m}{R + 7 R}} = \frac{4}{1}$

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