Figure shows the variations of energy E with the orbit radius r of a satellite in circular motion. Choose the correct statement.

A shows the kinetic energy, B shows the total energy and C the potential energy of the satellite.

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A and B are kinetic energy and potential energy respectively and C the total energy of the satellite.

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A and B are potential energy and kinetic energy respectively and C the total energy of the satellite.

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C and A are the kinetic and potential energies and B the total energy of the satellite.

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Solution

The correct option is B A and B are kinetic energy and potential energy respectively and C the total energy of the satellite.
The kinetic energy of the satellite, $K = \frac{G M m}{2 r}$
Potential energy of the satellite, $U = - \frac{G M m}{r}$
Total energy of the satellite, $E = - \frac{G M m}{2 r}$
In the figure, Variation of K with r is shown by curve A.
Variation of U with r is shown by curve B.
Variation of E with r is shown by curve C.

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