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Q.

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to the magnitude of  potential energy is

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a

2

b

1/2

c

12

d

2

answer is B.

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Detailed Solution

The kinetic energy of a satellite moving in an orbit around the earth is given by
K=12mv2=12mGMr
or =GMm2r……….(1)
The potential energy of satellite and earth system
U=GMmr………….(2)
where r is the distance of the satellite from the centre of the earth
KU=GMm/2rGMm/r=12

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