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A Rocket having initial mass 5xx10^(6)kg...

A Rocket having initial mass `5xx10^(6)kg` , which include mass of fuel of mass `4xx10^(6)kg` is ejecting gas with velocity `4000m//s` relative to Rocket when entire fuel finishes?

A

`6438m//s`

B

`4500m//s`

C

`3785m//s`

D

`4000m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`V=u_(roc.)ln((m)/(M))`
`V=4000.ln((5xx10^(6))/(1xx10^(6)))`
`V=4000ln(5)`
`V=6437.75m//s` .
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