The density of nitrogen is 14 times than the density of hydrogen. What will be the ratio of speeds of nitrogen to hydrogen?

Explanation

To find the ratio of the speeds of nitrogen to hydrogen given that the density of nitrogen is 14 times that of hydrogen, we can use the formula for the speed of sound in a gas, which is given by:

\[ V = \sqrt{\frac{\gamma P}{\rho}} \]

Where:
- \( V \) is the speed of sound,
- \( \gamma \) is the adiabatic index (ratio of specific heats),
- \( P \) is the pressure,
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