The velocity of sound in a gas at a fixed temperature is given by
v=√‌where,
γ=(‌) is specific heat ratio and
M is the molecular mass of the gas.
Let, velocity of sound in hydrogen,
v1=√‌Velocity of sound in oxygen,
v2=√‌Let,
M1 and
M2 be the molecular mass of hydrogen and oxygen respectively
n1 and
n2 be the moles of hydrogen and oxygen, respectively.
Molecular mass of the mixture,
M‌mix ‌=‌According to the question,
n1=n2 at given NTP.
M2‌=16MM‌mix ‌‌=‌=‌ Velocity of sound in mixture,
v‌mix ‌=√‌ ⇒‌‌v‌mix ‌=√‌∴ The ratio of velocity of sound in mixture to that of hydrogen
‌‌=‌⇒‌‌‌‌=√‌