A satellite is moving in a circular orbit round the earth with a diameter of orbit 2R . At a certain point a rocket fixed to the satellite is fired such that it increases the velocity of the satellite tangentially. The resulting orbit of the satellite would be
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a
the particle will emerge from the other end with velocity GMe2Re, where Me and Re are earth's mass and radius, respectively
b
circular orbit with diameter greater than 2R
c
elliptical orbit with minimum distance from the earth equal to R
d
elliptical orbit with maximum distance from the earth equal to R
answer is C.
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Detailed Solution
The initial position will become the perigee (nearest) position.So, the resulting orbit of the satellite will become elliptical orbit with minimum distance from the earth equal to R.
A satellite is moving in a circular orbit round the earth with a diameter of orbit 2R . At a certain point a rocket fixed to the satellite is fired such that it increases the velocity of the satellite tangentially. The resulting orbit of the satellite would be