Q. The velocity of sound hydrogen is $1224ms^{- 1}$. Its velocity in mixture of hydrogen and oxygen containing 4 parts by volume of hydrogen and 1 part oxygen is
A) $1224ms^{- 1}$
B) $612ms^{- 1}$
C) $2448ms^{- 1}$
D) $306ms^{- 1}$
Explanation
(b) If $\rho_{H} = 1$, then $\rho_{mix} = \frac{4 \times 1 + 1 \times 16}{(4 + 1)} = 4$
$\frac{v_{mix}}{v_{H}} = \sqrt{\frac{\rho_{H}}{\rho_{mix}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$
$v_{mix} = \frac{v_{H}}{2} = \frac{1224}{2} = 612ms^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.