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During the rocket propulsion, gases ejecting with velocity 1 km/s relative to rocket. The rate of fuel consumption is m10kg/s,where m is the instantaneous mass of the rocket. If air resistance varies according to equation f - 0.15 mv, then terminal velocity of the rocket is :

a
300 m/s
b
600 m/s
c
7.92km/s
d
11.2 km/s

detailed solution

Correct option is B

At terminal velocity Fnet = 0vgasdmdt=mg+f⇒1000m10=10m+0.15mv⇒v=600m/s

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