Question

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of ${27}^{o}C$ two successive resonances are produced at $20cm$ and $73cm$ of column length. If the frequency of the tuning fork is $320Hz$, the velocity of sound in air at ${27}^{o}C$ is?

• A. $350m/s$
• B. $330m/s$
• C. $300m/s$
• D. $339m/s$

Answer 1

The correct option is D $339m/s$

Given $53cm=\frac{\lambda }{2}$

$\lambda =106cm$

$v=\lambda f=\frac{106}{100}\times 320$

= 339 m/s