Question

What is the relationship between wavelength and frequency of a wave, if its velocity is constant?

• A. Wavelength is directly proportional to the frequency.
• B. Wavelength is inversely proportional to the frequency.
• C. Wavelength is directly proportional to the square of the frequency.
• D. Wavelength is twice the frequency.

Answer 1

The correct option is B

Wavelength is inversely proportional to the frequency.

We know that, Speed of a wave is the distance travelled by the wave in one second.

$Velocity=Wavelength\times Frequency$

If the velocity of the wave is constant, then

$\Rightarrow Wavelength\propto \frac{1}{Frequency}$

Or we can say that they are inversely proportional to each other.