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Question

A geostationary satellite is revolving around the earth. Now if the orbital speed is doubled, then

A
Total energy becomes zero.
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B
Satellite will leave circular orbit, but continues motion in an elliptical orbit.
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C
Satellite will leave orbit & the total energy becomes positive.
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D
Force between the earth & satellite becomes zero.
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Solution

The correct option is C Satellite will leave orbit & the total energy becomes positive.
In a circular orbit,
K.E = a
P.E = - 2a
T.E = - a

After velocity becomes double,
K.E = 4a
P.E = - 2a
T.E = 2a > 0

Therefore, the particle will leave orbit and total energy becomes positive.

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