Question

1. what is the frequency of electromagnetic radiation with a wavelength of 3.33 x 10^-8 m? * (0.5 points)

1.11 x 10^-16 hz
9.99 hz
1.98 x 10^4 hz
9.01 x 10^-1 hz
9.01 x 10^15 hz
4.54 x 10^12 hz

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 $
u$, so $
u=\frac{c}{\lambda}$.

Step2: Substitute the values

Given $\lambda = 3.33\times 10^{-8}\ m$ and $c = 3\times 10^{8}\ m/s$. Then $
u=\frac{3\times 10^{8}\ m/s}{3.33\times 10^{-8}\ m}$.

Step3: Calculate the frequency

$
u=\frac{3\times 10^{8}}{3.33\times 10^{-8}}=\frac{3}{3.33}\times10^{8 - (- 8)}\ Hz\approx0.901\times10^{16}\ Hz = 9.01\times 10^{15}\ Hz$.

Answer:

$9.01\times 10^{15}\ Hz$ (corresponding to the last option)