Question

The velocity of sounds in air is $332m{s}^{-1}$ at $0^{\circ }C$. The wavelength of sounds at ${10}^{\circ }C$ with a tuning fork of 169 Hz is

• A. 1.9 m
• B. 1 m
• C. 4.2 m
• D. 332 m

Answer 1

The correct option is A 1.9 m

Velocity of sound in air= $332m/s$

Temperature= $273K$

The wavelength of sounds= $169Hz$ at $273+10=283K$ .

Now, formula becomes

$v=n\lambda$

or, where $v$= velocity, $n$= frequency, $\lambda$= wavelength

$\Rightarrow \lambda =\frac{v}{n}=\frac{332}{169}$

$=1.9m$ .