Question

The velocity of sound in a gas in which two waves of wavelengths $50$ cm and $50.5$ cm produces $6$ beats per second is?

• A. $303$ m/s
• B. $332$ m/s
• C. $296$ m/s
• D. $228$ m/s

Answer 1

The correct option is A $303$ m/s

Beats produced $b={\nu }_1-{\nu }_2$

Or $b=\frac{v}{{\lambda }_1}-\frac{v}{{\lambda }_2}=v(\frac{1}{{\lambda }_1}-\frac{1}{{\lambda }_2})$

where $v$ is the velocity of sound in gas.

Or $6=v(\frac{1}{0.50}-\frac{1}{0.505})$

$⟹v=303m/s$