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Q.
The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at $IS^C$ is (Densities are in the ratio 16:14)
Waves
Solution:
$C =\sqrt{\gamma \frac{ \rho }{ e }}=\sqrt{\frac{\gamma \cdot K \cdot T }{ m }}$
$\frac{ e _{1}}{ e _{2}}=\frac{ m _{1}}{ m _{2}}$
$\frac{\gamma_{1} T _{1}}{ m _{1}}=\frac{\gamma_{2} T _{2}}{ m _{2}}$
$\gamma_{1}=\gamma_{2}$
$\frac{ T _{1}}{ m _{1}} \times m _{2}= T _{2}$
$T _{2}=\frac{ 1 6 }{ 4 } \times 2 8 8 = 3 2 9 K$
$T _{2}= 5 6 ^{\circ} C$