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

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

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

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

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

answer is B.

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Detailed Solution

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 satellite $E = \frac{- G M m}{2 r}$

in 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 by curve C.

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