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Q.

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 :

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a

300 m/s

b

600 m/s

c

7.92km/s

d

11.2 km/s

answer is B.

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Detailed Solution

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