Which of the following statements is correct | vedclass

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(D) geostationary satellite orbits the Earth in the equatorial plane with a time period of $24 	ext{ hours}$.To calculate its height $h$,we use the f

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Its height above the earth's surface is about six times the radius of the earth.

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(D) geostationary satellite orbits the Earth in the equatorial plane with a time period of $24 	ext{ hours}$.To calculate its height $h$,we use the formula for the orbital radius $r = R_e + h$,where $R_e$ is the radius of the Earth.Using Kepler's Third Law,$T^2 = \frac{4\pi^2 r^3}{GM}$,where $M$ is the mass of the Earth.Substituting $T = 86400 	ext{ s}$,$G = 6.67 	imes 10^{-11} 	ext{ Nm}^2/	ext{kg}^2$,and $M = 5.97 	imes 10^{24} 	ext{ kg}$,we find $r \approx 42,200 	ext{ km}$.Since $R_e \approx 6,400 	ext{ km}$,the height $h = r - R_e \approx 42,200 - 6,400 = 35,800 	ext{ km}$.This height is approximately $5.6$ to $6$ times the radius of the Earth $(6 	imes 6,400 = 38,400 	ext{ km})$.Therefore,statement $(d)$ is the correct description.

Which of the following statements is correct in respect of a geostationary satellite?

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