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JEE Main 7 Jan 2020 Shift 1 Solved Paper

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Question : 16

Total: 75

A satellite of mass m is launched vertically upwards with an initial speed u from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass

so that subsequently the satellite moves in a circular orbit. The kinetic energy of the rocket is (G is the gravitational constant; M is the mass of the earth):

[7-Jan-2020 Shift 1]

m
20
(u−√
2GM
3R
)2
5m(u2−
119
200
GM
R
)
3m
8
(u+√
5GM
6R
)2
m
20
(u2+
113
200
GM
R
)

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