During the rocket propulsion- gases ejecting with velocity 1 km-s relative to rocket- The rate of fuel consumption is m10 kg-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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Standard XII

Physics

Reynold's Number

During the ro...

Question

During the rocket propulsion, gases ejecting with velocity $1 k m / s$ relative to rocket. The rate of fuel consumption is $\frac{m}{10} k g / s$ , where $m$ is the instantaneous mass of the rocket. If air resistance varies according to equation $f = 0.15 m v$ , then terminal velocity of the rocket is:-

300 m / s

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600 m / s

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7.92 m / s

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11.2 m / s

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Solution

The correct option is B $600 m / s$
Thrust force must balance air drag to attain terminal velocity.
$\frac{m}{10} \times 1000 = 0.15 m v v = \frac{100}{15} \times 100 v = 600 m / s$

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During the rocket propulsion, gases ejecting with velocity 1 km/s relative to rocket. The rate of fuel consumption is m10 kg/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:-

The correct option is B 600 m/sThrust force must balance air drag to attain terminal velocity.m10×1000=0.15mvv=10015×100v=600m/s

The correct option is B $600 m / s$
Thrust force must balance air drag to attain terminal velocity.
$\frac{m}{10} \times 1000 = 0.15 m v v = \frac{100}{15} \times 100 v = 600 m / s$