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Consider a hypothetical gas with molecul...

Consider a hypothetical gas with molecules that can move along only a single axis. The following table gives four situations. The velocities in meter per second of such a gas having four molecules are given below. The plus and minus sign refer to the direction of the velocity 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-mean-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
`V_("m s")= sqrt((V_1^2 + V_2^2 + V_3^2 +V_4^2)/4)`
` V_("m s"(A)) = 3.67 "units "V_("m s"(B)) = 3.94 "units"`
`V_("m s"(C)) = 3.67" units "V_(" m s (D)") = 3. 84 "units"`
Hence `V_("m s(B)")` is maximum
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