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(D) The time period $T$ of a satellite in a circular orbit is given by the formula $T = 2\pi \sqrt{\frac{r^3}{GM}}$,where $r$ is the orbital radius,$G

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(ii),(iii) and (iv)

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(D) The time period $T$ of a satellite in a circular orbit 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.$1$. The orbital radius $r$ is equal to $R + h$,where $R$ is the radius of the earth and $h$ is the height of the satellite from the earth's surface.$2$. From the formula,it is clear that $T$ depends on the mass of the earth $(M)$,the radius of the orbit $(r)$,and the height $(h)$ because $r = R + h$.$3$. The time period $T$ is independent of the mass of the satellite $(m)$.Therefore,the time period depends on (ii),(iii),and (iv).

The orbit of a geo-stationary satellite is circular. The time period of the satellite depends on:
$(i)$ mass of the satellite
(ii) mass of the earth
(iii) radius of the orbit
(iv) height of the satellite from the surface of the earth
Which of the following is correct?

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The orbit of a geo-stationary satellite is circular. The time period of the satellite depends on:$(i)$ mass of the satellite(ii) mass of the earth(iii) radius of the orbit(iv) height of the satellite from the surface of the earthWhich of the following is correct?