# The velocity of sound is measured in hydrogen and oxygen at a certain temperature. The ratio of the velocities is, Option 1) 1:1 Option 2) 1:2 Option 3) 1:4 Option 4) 4:1

As we learnt in

Effect of temperature on speed of sound -

$\because \frac{P}{\rho }= \frac{RT}{M}$

$\therefore V= \sqrt{\frac{\gamma RT}{M}}$

- wherein

$V \alpha \sqrt{T}$

T is in Kelvin

So velocity increses with increase in temperature.

$V=\sqrt{\frac{\gamma RT}{M}}\:\:\:=>V\propto \frac{1}{\sqrt{14}}$

$\frac{V_{H2}}{V_{O2}}=\sqrt{\frac{M_{O2}}{M_{H2}}}=\sqrt{\frac{32}{2}}=4:1$

Option 1)

1:1

This option is incorrect.

Option 2)

1:2

This option is incorrect.

Option 3)

1:4

This option is incorrect.

Option 4)

4:1

This option is correct.

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