Question

A source is producing sound in a particular medium. If the wavelength of a sound wave produced by the source decreases, then the frequency of sound wave ___ . (Assume the conditions such as temperature, pressure, etc of the medium does not change.)

• A. increases
• B. decreases
• C. remains the same
• D. first increase then decrease

Answer 1

The correct option is A

increases

The velocity of sound is constant in a particular medium. I.e. The velocity of sound does not depend upon the characteristics of the sound wave.

We know relation between speed of sound $v$ , frequency ($\nu$) and wavelength ($\lambda$) is given by:

$v=\nu \times \lambda$

Velocity of sound $v$ is constant

$\nu =\frac{v}{\lambda }$

$⟹$ Frequency ($\nu$) is inversely proportional to wavelength ($\lambda$).

So, if wavelength ($\lambda$) decreases then frequency ($\nu$) increases.