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Question

Question: Figure shows the variations of energy E with the orbit radius of a satellite in a circular motion. C...

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

A

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

B

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

C

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

D

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

Answer

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

Explanation

Solution

Kinetic energy of the satellite, K=GMm2r\mathrm { K } = \frac { \mathrm { GMm } } { 2 \mathrm { r } }

Potential energy o the satellite,

Total energy of the satellite,

In figure,

Variations 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