Question

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

• A. Wavelength is directly proportional to frequency
• B. Wavelength is inversely proportional to frequency
• C. Frequency is twice the wavelength
• D. Wavelength is twice the frequency

Answer 1

The correct option is B Wavelength is inversely proportional to frequency

$\lambda =\frac{v}{f}$
where:
$\lambda :$ Wavelength
$f:$ Frequency
$v:$ Speed of light in the given medium

In a medium, speed is constant.
$⟹\lambda \propto \frac{1}{f}$

Hence, wavelength is inversely proportional to frequency in a medium.