Question

A certain sound has a frequency of $256$ hertz and a wavelength of $1.3$m. What difference would be felt by a listener between the above sound and another sound travelling at the same speed, but of wavelength $2.6$m?

Answer 1

Speed of sound wave $v=\nu \times \lambda$

where, $\nu$ is the frequency of sound wave and $\lambda$ is the wavelength of sound wave.

Since, speed of both the sound waves is same.

$⟹{\nu }_1\times {\lambda }_1={\nu }_2\times {\lambda }_2$

Given : ${\nu }_1=256Hz$, ${\lambda }_1=1.3m$ and ${\lambda }_2=2.6m$

$\therefore$ $256\times 1.3={\nu }_2\times 2.6$

$⟹{\nu }_2=128Hz$

Since the frequency of second sound is less compared to first sound, so the listener would find the second to be less sharper.