Question

question 6
a certain wave has a wavelength of 500 nm and another has a wavelength of 850 nm. which wave has a higher frequency?
850 - nm
500 - nm
they have the same frequency

Explanation:

Step1: Recall the wave - frequency relation

The speed of light $c$ is related to frequency $f$ and wavelength $\lambda$ by the formula $c = f\lambda$, where $c$ is a constant ($c= 3\times10^{8}\ m/s$). So, $f=\frac{c}{\lambda}$.

Step2: Analyze the inverse - relation

Since $c$ is constant, frequency $f$ and wavelength $\lambda$ are inversely proportional. That is, the smaller the wavelength, the higher the frequency.

Step3: Compare the wavelengths

We have $\lambda_1 = 500\ nm$ and $\lambda_2=850\ nm$. Since $500\ nm<850\ nm$.

Answer:

500 nm