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Question
Assertion :Two satellites are following one another in the same circular orbit. If one satellite tries to catch another (leading one) satellite, then it can be done by increasing its speed without changing the orbit. Reason: The energy of earth-satellite system in circular orbit is given by E=(−GmM)/(2a), where r is the radius of the circular orbit.
Assertion :Two satellites are following one another in the same circular orbit. If one satellite tries to catch another (leading one) satellite, then it can be done by increasing its speed without changing the orbit. Reason: The energy of earth-satellite system in circular orbit is given by E=(−GmM)/(2a), where r is the radius of the circular orbit.
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Solution
The correct option is D Assertion is incorrect but Reason is correct
If speed of a satellite increases, its kinetic energy increases. Since its total energy remains constant, its gravitational potential energy must decrease. So its orbit would become short and thus would not be able to catch the satellite whose orbit is as large as it was earlier.
If speed of a satellite increases, its kinetic energy increases. Since its total energy remains constant, its gravitational potential energy must decrease. So its orbit would become short and thus would not be able to catch the satellite whose orbit is as large as it was earlier.
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