Correct Answer - Option 4 : 1880 m/s
The speed of sound in a gas is given by \(v\; = \;\sqrt {\frac{{\gamma P}}{\rho }}\)
At STP, 22.4 litres of oxygen has a mass of 32 g whereas the same volume of hydrogen has a mass of 2 g. Thus, the density of oxygen is 16 times the density of hydrogen at the same temperature and pressure. As γ is same for both the gases and for same temperature and pressure”
\(\begin{array}{l} \frac{{v\left( {hydrogen} \right)}}{{v\left( {oxygen} \right)}}\; = \;\sqrt {\frac{{\rho \left( {oxygen} \right)}}{{\rho \left( {hydrogen} \right)}}} \; = \;\sqrt {16} \; = \;4\\ {v_{\left( {hydrogen} \right)}}\; = \;4{v_{\left( {oxygen} \right)}}\; = \;4\; \times \;470\;m/s\; = \;1880\;m/s \end{array}\)
