Question

The temperature at which the speed of sound will be same in oxygen as the speed in nitrogen at 15${}^o$C is (Densities are in the ratio 16:14)

• A. 561${}^o$C
• B. 56.1${}^o$C
• C. 5.61${}^o$C
• D. 5.061${}^o$C

Answer 1

The correct option is B 56.1${}^o$C

$C=\sqrt{\gamma \frac{\rho }{e}}$$=\sqrt{\frac{\gamma .K.T}{m}}$

$\frac{e_1}{e_2}=\frac{m_1}{m_2}$

$\frac{{\gamma }_1{T}_1}{m_1}=\frac{{\gamma }_2{T}_2}{m_2}$

${\gamma }_1={\gamma }_2$

$\frac{T_1}{m_1}\times m_2=T_2$

$T_2=\frac{16}{14}\times 288=329K$

$T_2={56}^{\circ }C$