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Consider a hypotheticla gas with molecul...

Consider a hypotheticla gas with molecules that can move along only a single axis. The following table givesfour situations. The velocities is meter per seocond of such a gas having four molecules. The plus and minus sign refer to the direction of the velcoity along the axis.
`{:(ul("Situation Velocities"),,,,),("a -2 +3 -4 +5",,,,),(-------------,,,,),("b +1 -3 +4 -6",,,,),(-------------,,,,),("c +2 +3 +4 +5",,,,),(-------------,,,,),("d +3 +3 -4 -5",,,,),(-------------,,,,):}`
In which situation root-square speed of the molecules is greatest

A

`a`

B

`b`

C

`c`

D

`d`

Text Solution

Verified by Experts

The correct Answer is:
B

Using `V_(rms) = sqrt((V_(1)^(2) +V_(2)^(2)+V_(3)^(2)+V_(4)^(2))/(4))`
and substituting the corresponding velocity we get `V_(rms)` is greatest in situation `b`.
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