Two satellites of earth, S_1 and S_2, are moving in the same orbit. The mass of S_1 is four times the mass of S_2. Which one of the following statements is true? **[MHT-CET 2008]**

JEE Main Physics question

Two satellites of earth, and , are moving in the same orbit. The mass of is four times the mass of . Which one of the following statements is true? **[MHT-CET 2008]**

(A)The time period of is four times that of
(B)The potential energies of earth and satellite in the two cases are equal
(C) and are moving with the same speedCorrect
(D)The kinetic energies of the two satellites are equal

Answer: (C)

Solution

Orbital speed depends only on the orbit radius, not on the satellite's mass, so for the same orbit and move with the same speed. Since masses differ,

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Question ID VK-154364