Question

what is the wavelength of a photon with a frequency of 6×10^{14}hz
500 nm
300 nm
450 nm
600 nm

Explanation:

Step1: Recall the formula

The speed - of - light formula is $c = \lambda
u$, where $c$ is the speed of light ($c = 3\times10^{8}\ m/s$), $\lambda$ is the wavelength, and $
u$ is the frequency. We need to solve for $\lambda$, so $\lambda=\frac{c}{
u}$.

Step2: Substitute the values

Given $
u = 6\times 10^{14}\ Hz$ and $c = 3\times10^{8}\ m/s$. Then $\lambda=\frac{3\times 10^{8}\ m/s}{6\times 10^{14}\ Hz}=5\times10^{-7}\ m$.

Step3: Convert to nanometers

Since $1\ m = 10^{9}\ nm$, then $\lambda=5\times 10^{-7}\ m\times10^{9}\ nm/m = 500\ nm$.

Answer:

A. 500 nm