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The speed of sound through a gaseous med...

The speed of sound through a gaseous medium bears a constant ratio with the rms speed of its molecules. The constant ratio is

A

`sqrt(gamma/3)`

B

`gamma-1`

C

`sqrt((2gamma)/3)`

D

`gamma`

Text Solution

AI Generated Solution

To find the constant ratio between the speed of sound in a gaseous medium and the root mean square (rms) speed of its molecules, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Speed of Sound in a Gas**: The speed of sound \( V \) in a gaseous medium can be expressed with the formula: \[ V = \sqrt{\frac{\gamma RT}{M}} ...
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