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Q.

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.
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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