Two satellites of earth,S_1 and S_2 are movin | vedclass

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(B) The satellite of mass $m$ is moving in a circular orbit of radius $r.$$	herefore$ Kinetic energy of the satellite,$K = \frac{GMm}{2r} \dots (i)$P

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$S_1$ and $S_2$ are moving with the same speed.

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(B) The satellite of mass $m$ is moving in a circular orbit of radius $r.$$	herefore$ Kinetic energy of the satellite,$K = \frac{GMm}{2r} \dots (i)$Potential energy of the satellite,$U = -\frac{GMm}{r} \dots (ii)$Orbital speed of the satellite,$v = \sqrt{\frac{GM}{r}} \dots (iii)$Time period of the satellite,$T = 2\pi \sqrt{\frac{r^3}{GM}} \dots (iv)$Given $m_{S_1} = 4m_{S_2}$.Since $M$ and $r$ are the same for both satellites $S_1$ and $S_2$:From equation $(iii)$,the orbital speed $v$ is independent of the mass of the satellite. Therefore,both satellites move with the same speed.From equation $(i)$,$K \propto m$,so $K_{S_1} = 4K_{S_2}$.From equation $(ii)$,$U \propto m$,so $U_{S_1} = 4U_{S_2}$.From equation $(iv)$,$T$ is independent of the mass of the satellite,so $T_{S_1} = T_{S_2}$.Thus,statement $(b)$ is correct.

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?

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