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Physics Wave and Sound Speed of Sound MCQ (Single Correct)

and are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

A
B
C
D

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The correct answer is:
B

Root mean square speed. The root mean square speed is used to measure the velocity of particles in a gas. It is given by

where is molar mass and is gas constant, is temperature.
Most probable speed , is the speed most likely to be possessed by any molecule in the system.

whereas mean speed is

(3)

From Eqs. (1), (2) and (3), we conclude that

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