Find the velocity of a satellite at height 80 km from earth, if the radius of earth is,6400 km :

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8 km/s

7 .84 km/s

7 km/s

11.2 km/s

answer is C.

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Detailed Solution

Orbital velocity of satellite :
$\begin{array}{l} v_{0} = \sqrt{\frac{GM}{r}} = \sqrt{\frac{{gR}^{2}}{(R + h)}} = \sqrt{gR} \sqrt{\frac{R}{(R + h)}} \\ v_{0} = 7 .92 km / s \sqrt{\frac{6400 \times 10^{3}}{6480 \times 10^{3}}} \Rightarrow v_{0} = 7 .84 km / s \end{array}$

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