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Q.

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

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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

answer is D.

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Detailed Solution

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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