The period of rotation of the geostationary satellite is ______ hours.

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Solution

The correct option is B 24
A geostationary satellite is an earth-orbiting satellite, placed at an altitude of approximately 35,800 kilometers (22,300 miles) directly over the equator, that revolves in the same direction the earth rotates (west to east).
At this altitude, one orbit takes $24 h o u r s$ , the same length of time as the earth requires to rotate once on its axis.
The term geostationary comes from the fact that such a satellite appears nearly stationary in the sky as seen by a ground-based observer.

Hence correct answer is option $B$

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A geosynchronous satellite is a satellite that orbits the earth with an orbital period of 24 hours, thus matching the period of the earth's rotational motion. A special class of geosynchronous satellites is a geostationary satellite. A geostationary satellite orbits the earth in 24 hours along an orbital path that is parallel to an imaginary plane drawn through the Earth's equator. Such a satellite appears permanently fixed above the same location on the Earth. If a geostationary satellite wishes to orbit the earth in 24 hours (86400 s), then how high above the earth's surface must it be located? (Given: $M_{e a r t h} = 5.98 \times 10^{24} k g, R_{e a r t h} = 6.37 \times 10^{6} m$ )