1.

n a rocket, the mass of the fuel is 90% of the total mass. The rocket is blasted from the launching pad. If the exhaust gases are ejected at a speed of 1000 S^(-1) what is the maximum speed attained by the rocket? (Neglect the effects of gravity and air resistance).

Answer»

`2.3 km//s`
`1 km//s`
`1.5 km//s`
`9 km//s`

SOLUTION :Let initial mass =` m_(Q)`
Since fuel is 90% of total mass
:.mass of container, `m_(c) = m_(0) -(90)/(100)m_(0)`
`m_(c)=(1)/(10)m_(0)`
`:.(m_(0))/(m_(c))=10`
Now burnt out speed
`upsilon_(B)=ulog_(e)(m_(0))/(m_(c))=2.303u log_(10)10`
`=2.303xx1000xx1=2303m//s=2.3 kms^(-1)`
Hence correct choice is (a)


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