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(D) The orbital period $T$ of a satellite revolving around the Earth is given by the formula $T = 2 \pi \sqrt{\frac{r^3}{GM}}$,where $r$ is the orbita

Vedclass · Accepted Answer

They have the same period.

Vedclass · Answer

(D) The orbital period $T$ of a satellite revolving around the Earth is given by the formula $T = 2 \pi \sqrt{\frac{r^3}{GM}}$,where $r$ is the orbital radius,$G$ is the gravitational constant,and $M$ is the mass of the Earth.Since both satellites are revolving in the same orbit,their orbital radius $r$ is the same.Because $T$ depends only on the orbital radius $r$ and the mass of the Earth $M$,and not on the mass of the satellite $m$,both satellites will have the same orbital period.Therefore,the correct statement is that they have the same period.

Two satellites of masses $m$ and $4m$ are revolving in the same orbit around the Earth. Which one of the following statements is correct?

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