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Five gas molecules chosen at random are ...

Five gas molecules chosen at random are found to have speeds of 500,600m,700,800 and 900 `m//s` Then,

A

the rms speed and the average speed are the same

B

the rms speed is `14 m//s` higher than the average speed

C

the rms speed is `14 m//s` higher than the average speed

D

the rms speed is `sqrt(14) m//s` lower that the average speed

Text Solution

Verified by Experts

The correct Answer is:
B
)`therefore V_(av) =(500+600+700+800+900)/(5)`
`=3500/5=700m//s`
and `V_(rms)=sqrt([((500)^(2)+(600)^(2)+(700)^(2)+(800)^(2)+(900)^(2))/(5)])`
hence, the rms speed is `14 m//s` higher than the average speed.
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