Question

quick check #1
what frequency is radiation with a wavelength of 5.00 x 10^(-6) m?

Explanation:

Step1: Recall the wave - speed formula

The speed of light $c$ is related to frequency $f$ and wavelength $\lambda$ by the formula $c = f\lambda$, where $c=3.00\times 10^{8}\ m/s$. We need to solve for $f$.

Step2: Rearrange the formula for frequency

Rearranging $c = f\lambda$ gives $f=\frac{c}{\lambda}$.

Step3: Substitute the values

Substitute $c = 3.00\times10^{8}\ m/s$ and $\lambda = 5.00\times 10^{-6}\ m$ into the formula: $f=\frac{3.00\times 10^{8}\ m/s}{5.00\times 10^{-6}\ m}$.

Step4: Calculate the frequency

$f=\frac{3.00\times 10^{8}}{5.00\times 10^{-6}}= 6.00\times 10^{13}\ Hz$.

Answer:

$6.00\times 10^{13}\ Hz$