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Question

A gas consists of 5 molecules with a velocity of 5 m s1, 10 molecules with a velocity of 3 m s1 and 6 molecules with a velocity of 6 m s1. The ratio of average velocity and rms velocity of the molecules is 9.5×10x. Value of x is:

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Solution

Average velocity is the average of the velocities of all the gases
=5×5+10×3+6×621=4.33
rms velocity is the square root of the mean of the squares of the velocities.
=5×25+10×9+6×3621=4.53
VavVrms=0.955=9.5×101

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