Question

Question 19
Establish the relationship between speed of sound, its wavelength and frequency. If velocity of sound in air is $340m{s}^{-1}$, Calculate

(i) wavelength when frequency is 256 Hz.
(ii) frequency when wavelength is 0.85 m.

Answer 1

The relationship between the speed of sound, its wavelength and frequency is given by the formula,

As we know, $V=\frac{\lambda }{T}$
$\therefore V=v\lambda$

where V = speed of sound
$v$ = frequency
$\lambda$ = wavelength

(i) Given, $v$ = 256 Hz
$340=256\lambda$
$\lambda =1.33m$.

(ii) Given, $\lambda =0.85m$
$340=v\left(0.85\right)$
$v=400Hz$