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