Question

Distance between successive compression and rarefaction is $1\text{m}$ and velocity of sound is $360{\text{ms}}^{-1}.$ Find the frequency of sound wave.

• A. $180\text{Hz}$
• B. $160\text{Hz}$
• C. $150\text{Hz}$
• D. $120\text{Hz}$

Answer 1

The correct option is A $180\text{Hz}$

We know that velocity of sound wave is given by,
$v=\lambda f$, where $\lambda$ is wavelength and $f$ is frequency.
Distance between successive compression and rarefaction,
$\frac{\lambda }{2}=1\Rightarrow \lambda =2\text{m}$

Frequency, $f=\frac{v}{\lambda }$
$\Rightarrow f=\frac{360}{2}$
$\Rightarrow f=180\text{Hz}$