Q.

Two monatomic gases A and B having atomic masses  MA, MB respectively are kept at the same temperature. The ratio of r.m.s. velocity and average velocity of gas A is RA and corresponding value for gas B is RB. Then RA=RB

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a

Only if MA=MB

b

Only if MA>MB

c

Only if MA

d

For any value of  MA and  MB

answer is D.

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Detailed Solution

vRMS=3RTM; vAVG=8RTπM⇒vRMS vAVG=3π8  (independent of nature of gas).
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Two monatomic gases A and B having atomic masses  MA, MB respectively are kept at the same temperature. The ratio of r.m.s. velocity and average velocity of gas A is RA and corresponding value for gas B is RB. Then RA=RB