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Questions  

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

a
Ratio of total energy will be 4
b
Ratio of kinetic energies will be 4
c
Ratio of potential energies will be 4
d
Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2

detailed solution

Correct option is D

Orbital radius of satellites r1=R+R=2R                                                    r2=R+7R=8R                    U1=−GMmr1 and U2=−GMmr2 and U1U2=r2r1=8R2R=4∵U∝1r K1=GMm2r1 and K2=GMm2r2and K1K2=r2r1=8R2R=4∵K∝1r E1=GMm2r1 and E2=GMm2r2and E1E2=r2r1=8R2R=4∵E∝1r ∴U1U2=K1K2=E1E2=4

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