Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is

Options

A. `sqrt8`
B. `sqrt(2//17)`
C. `sqrt(1//8)`
D. `sqrt(32//17)`

Answer

B

Explanation

Let V be the standard volume of 1 mole of gas. If equal volumes are mixed, the mean density =`("total mass")/("total volume")=((32+2)/(2V))=(17)/(V)`units
Density of `H_(2)=(2)/(V)units`
`therefore`    `v=sqrt((gammaP)/(p))rArrvprop(1)/(p)`.
`therefore`   `(V_("sound in mixture"))/(V_("sound in mixture"))=sqrt((2)/(17))`