Question

What is the relationship between wavelength and frequency in a medium?

• A. There is no relationship between wavelength and frequency.
• B. Wavelength is always twice the frequency.
• C. Wavelength is inversely proportional to the frequency.
• D. Wavelength is directly proportional to the frequency.

Answer 1

The correct option is C

Wavelength is inversely proportional to the frequency.

As we know,
$\text{Wave velocity}=\text{Wavelength}\times \text{Frequency}$.
$\Rightarrow \text{Wavelength}=\frac{\text{Wave velocity}}{\text{Frequency}}$.
In a particular medium since wave velocity is constant, wavelength is inversely proportional to the frequency.