If a satellite orbits as close to the earths surface as possible

its speed is maximum

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time period of its rotation is minimum

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the total energy of the earth plus satellite system is minimum

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the total energy of the earth plus satellite system is maximum

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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Solution

The correct options are
A time period of its rotation is minimum
B the total energy of the earth plus satellite system is maximum
C its speed is maximum
Given,
Orbital speed $v_{o} \propto \frac{1}{\sqrt{R}}$
Time period $T \propto R^{\frac{3}{2}}$
Total energy $E_{o} \propto \frac{1}{R}$ but since magnitude is negative for bounded system
Hence option (a),(b) and (d) are correct.

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