Question

If a wave of wavelength $\lambda$ is travelling in a medium with velocity V, then its frequency is

• A. $\frac{V}{\lambda }$
• B. $V\lambda$
• C. $\frac{\lambda }{V}$
• D. $\frac{1}{V}$

Answer 1

The correct option is A $\frac{V}{\lambda }$

We know that, $T=\frac{1}{\nu }$

where $\nu =$ frequency

So, speed $=$ Distance/ Time taken

where we can conclude that speed is the velocity of the wave, and distance is the wavelength of the wave travelled by wave in time T.

$\Rightarrow$ Velocity $=$ Wavelength/ Time taken

$V=\frac{\lambda }{T}$

$V=\lambda \nu$ $\to$ (1)

From (1) we can derive that,

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

$\therefore$ Option (A) is the correct answer.