Gravitation Question 249

Question: Two identical satellites are at R and 7R away from earth surface, the wrong statement is (R = Radius of earth) [RPMT 1997]

Options:

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

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Answer:

Correct Answer: D

Solution:

Orbital radius of satellites [r1=R+R=2R]

[r2=R+7R=8R]

[U1=GMmr1]

and [U2=GMmr2] [K1=GMm2r1]

and [K2=GMm2r2] [E1=GMm2r1]

and [E2=GMm2r2] [U1U2=K1K2=E1E2=4]



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