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The speeds of 4 molecules of a gas in ar...

The speeds of 4 molecules of a gas in arbitary units are 2, 3, 4 and 5. what is the ratio of rms speed and mean speed of the gas molecules.

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The correct Answer is:
1

`upsilon_(rms) = sqrt((2^(2)+3^(2)+4^(2)+5^(2))/(4))`
`= sqrt((54)/(4)) = sqrt(13.5) = 3.67`
`upsilon_(mean) = (2+3+4+5)/(4) = 3.5`
`(upsilon_(rms))/(upsilon_(mean)) = (3.67)/(3.5) = 1.05 ~~1`.
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