1.

A rocket has total mass 1000 kg with fuel of 900 kg. It ejects fuel at the rate of 1 kg/s with an exhaust velocity of 2 km//s relative to rocket. The maximum velocity attained by rockct is:

Answer»

`2.3 km//s`
`4.6 km//s`
`2 km//s`
`4.6 log_(10) (10)/(9) km//s`

Solution :Burnt-out speed, `upsilon_(b) = 2.303 u LOG(m_(0))/(m_(c))`
`=2.303xx2km//sxxlog(1000)/(1000-900)`
`=4.6km//s.(log_(10)10=1)`
Hence correct choice is (b).


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