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IF c1,c2,c3……are random speeds of gas mo...

IF `c_1,c_2,c_3`……are random speeds of gas molecules at a certain moment then average velocity `c_(av)=(c_1+c_2+c_3+.......c_n)/n` are root mean square speed of gas molecules
`c_(rms)=sqrt((c_1^2+c_2^2+c_3^2+......+c_n^2)/n)=c`
Further `c^2 prop T or c prop sqrt T`
At0K, c=0 i.e.,molecular motion stops.
IF three molecules have velocities `0.5 km.s^-1,1 km.s^-1` and `2 km.s^-1` the ratio of rms speed and average velocity is

A

0.134

B

1.34

C

1.134

D

13.4

Text Solution

Verified by Experts

The correct Answer is:
B
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