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Two satellites A and B of the same mass ...

Two satellites `A` and `B` of the same mass are orbiting the earth at altitudes `R` and `3R` respectively, where `R` is the radius of the earth. Taking their orbit to be circular abtain the ratios of their kinetic and potential energies.

Text Solution

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The correct Answer is:
A, B

`r_(1) = R + h_(1) = R + r = 2R`
`r_(2) = R + h_(2) = R + 3R = 4R`
`KE` and `PE prop (1)/(R)`
`:. (K_(1))/(K_(2)) = (U_(1))/(U_(2)) = (r_(2))/(r_(1)) = (2)/(1)`
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