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Two monatomic ideal gas 1 and 2 of molec...

Two monatomic ideal gas 1 and 2 of molecular masses `m_(1) and m_(2)` respectively are enclosed in separate containers kept at same temperature. The ratio of the speed of sound in gas 1 to that in gas 2 is given by

A

`sqrt((m_(1))/(m_(2)))`

B

`sqrt((m_(2))/(m_(1)))`

C

`(m_(1))/(m_(2))`

D

`(m_(2))/(m_(1))`

Text Solution

Verified by Experts

The correct Answer is:
B

We know that `C=sqrt(((gammaRT)/(M)))`
Hence `C prop sqrt((1)/(M)) therefore (C_1)/(C_2)=sqrt(((m_2)/(m_1)))`
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