If c is r.m.s speed of molecules in a gas and `upsilon` is the speed of sound waves in the gas, show that `c//upsilon` is constant and independent of temperature for all diatomic gases.

Explanation

To show that the ratio \( \frac{c}{\upsilon} \) (where \( c \) is the r.m.s speed of molecules in a gas and \( \upsilon \) is the speed of sound waves in the gas) is constant and independent of temperature for all diatomic gases, we can follow these steps:

### Step 1: Understand the definitions
- The r.m.s speed of gas molecules \( c \) is given by the formula:
\[ c = \sqrt{\frac{3p}{\rho}} \]
where \( p \) is the pressure and \( \rho \) is the density of the gas.
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