A) \[\frac{ru}{(M-rt)}\]
B) \[\frac{(M-rt)}{ru}\]
C) \[\frac{ru}{(M-rt)}\]
D) \[\frac{ru}{M}\]
Correct Answer: A
Solution :
Here, initial mass of rocket\[M=\frac{dM}{dt}=r\] Relative velocity of gas w.r.t. rocket\[=u\] So, acceleration of the rocket \[a=\frac{F}{m}=\frac{u\left( \frac{dm}{dt} \right)}{\left( M-\frac{dm}{dt}\times t \right)}\] \[=\frac{ur}{M-rt}\]You need to login to perform this action.
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