Change in temperature of the medium changes [NCERT Exemplar]
Change in temperature of the medium changes [NCERT Exemplar]
frequency of sound waves
amplitude of sound waves
wavelength of sound waves
loudness of sound waves
Solution
Speed of sound wave in a medium, $v \propto \sqrt{T}$
(where, $T$ is temperature of the medium)
Clearly, when temperature changes, speed also changes.
Now, $v = \nu \lambda$
where, $\nu$ is frequency and $\lambda$ is wavelength.
$\because$ Frequency ($\nu$) remains fixed,
$\therefore v \propto \lambda$ or $\lambda \propto v \Rightarrow \lambda \propto \sqrt{T}$
Hence, with change in temperature of the medium, wavelength ($\lambda$) of sound waves changes.