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(D) satellite that remains stationary with respect to the Earth's surface is called a geostationary satellite.Its time period of revolution $(T)$ is e

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$36000$

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(D) satellite that remains stationary with respect to the Earth's surface is called a geostationary satellite.Its time period of revolution $(T)$ is equal to the time period of rotation of the Earth,which is $24 	ext{ hours}$.The formula for the orbital radius $(r)$ is given by $T = 2\pi \sqrt{\frac{r^3}{GM}}$.Using $T = 86400 	ext{ s}$,$G = 6.67 	imes 10^{-11} 	ext{ Nm}^2/	ext{kg}^2$,and $M = 5.97 	imes 10^{24} 	ext{ kg}$,we find the orbital radius $r \approx 42200 	ext{ km}$.The height $(h)$ above the Earth's surface is $h = r - R_e$,where $R_e \approx 6400 	ext{ km}$.Therefore,$h = 42200 	ext{ km} - 6400 	ext{ km} = 35800 	ext{ km}$,which is approximately $36000 	ext{ km}$.

An artificial satellite is placed into a circular orbit around the Earth at such a height that it always remains above a definite place on the surface of the Earth. Its height from the surface of the Earth is ........... $km$.

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