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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))`
`:. (C_(1))/(C_(2)) = sqrt(((m_(2))/(m_(1))))`.
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