The constant `gamma` of oxygen as well as for hydrogen is 1.40. If the speed of sound in oxygen is `470 ms^-1,` What wil be the speed in hydrogen at the same temperature and pressure?

Explanation

To find the speed of sound in hydrogen given the speed of sound in oxygen, we can use the relationship between the speed of sound, the density of the medium, and the constant gamma (γ). Here’s a step-by-step solution:

### Step 1: Understand the formula for the speed of sound
The speed of sound in a gas is given by the formula:
\[ V = \sqrt{\frac{\gamma \cdot P}{\rho}} \]
where:
- \( V \) is the speed of sound,
- \( \gamma \) is the adiabatic index (constant),
...