Question

The velocity of sound in a gas in which two wavelengths \( 4.08 \, \text{m} \) and \( 4.16 \, \text{m} \) produce 40 beats in 12 seconds will be:

• A. \( 2.828 \, \text{ms}^{-1} \)
• B. \( 175.5 \, \text{ms}^{-1} \)
• C. \( 353.6 \, \text{ms}^{-1} \)
• D. \( 707.2 \, \text{ms}^{-1} \)

Hint:

To find the velocity of sound using beat frequency, use the relation \( f_{\text{beat}} = f_1 - f_2 \) and the wave equation \( f = \frac{v}{\lambda} \).