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Mechanical Properties Of Fluids

Question
CBSEENPH11019203

Drive the relation between r.m.s. velocity of air molecules and the speed of sound in air.

Solution
Speed of sound in air is given by, 
                   straight v subscript straight s equals square root of γP over straight rho end root 
Root mean square speed of air molecules is, 
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Relation between r.m.s. velocity of air molecules and the speed of sound in air is given by, 
∴          straight v subscript straight s over straight v subscript straight r equals square root of straight gamma over 3 end root