Two identical satellites are at 7R and R away from earth surface, the wrong statement is (R = Radius of earth)

Ratio of total energy will be 4

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Ratio of kinetic energies will be 4

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Ratio of potential energies will be 4

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Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2

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Solution

The correct option is D Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2
$O r b i t a l r a d i u s o f s a t e l l i t e s r_{1} = R + R = 2 R r_{2} = R + 7 R = 8 R U_{1} = \frac{- G M m}{r_{1}} a n d U_{2} = \frac{- G M m}{r_{2}} K_{1} = \frac{G M m}{2 r_{1}} a n d K_{2} = \frac{G M m}{2 r_{2}} E_{1} = \frac{- G M m}{2 r_{1}} a n d E_{2} = \frac{- G M m}{2 r_{2}} ∴ \frac{U_{1}}{U_{2}} = \frac{K_{1}}{K_{2}} = \frac{E_{1}}{E_{2}} = 4$

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R

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