Correct Option: D
The velocity of sound in a gas is given by
....(i)
Clearly, velocityv is inversely proportional to the square root of density (r) of the gas. Now, let us consider two gases which are at the same pressure (P) and the same value of g. If r1 and r2 be their densities, then velocity of sound in the two gases are
....(ii)
For example, density of oxygen is 16 times the density of hydrogen, therefore from (ii), we have
or v
H = 4v
oSo the corresponding ration of velocity of sound in oxygen and hydrogen is 1:4.