Question

what is the relationship between wavelength and frequency? longer wavelengths have higher frequencies shorter wavelengths have higher frequencies wavelength and frequency are not related

Explanation:

The relationship between wavelength ($\lambda$) and frequency ($f$) is given by the formula $v = \lambda f$ (where $v$ is the wave speed, constant for a given medium and type of wave, like electromagnetic waves in vacuum). So, if $v$ is constant, $\lambda$ and $f$ are inversely proportional. Shorter wavelengths mean higher frequencies (e.g., gamma rays have short wavelengths and high frequencies; radio waves have long wavelengths and low frequencies). The first option is wrong as they are related, the third is wrong (longer wavelengths have lower frequencies). So the correct option is the one stating shorter wavelengths have higher frequencies.

Answer:

B. Shorter wavelengths have higher frequencies