Question

a red laser emits visible light with a wavelength of 635 nm (6.35×10⁻⁷ m). calculate the frequency of the light. assume the light is traveling through vacuum. enter your answer in scientific notation rounded to two decimal places. wave speed, wavelength, and frequency f = hz image credit >

Explanation:

Step1: Recall the wave - speed formula

The speed of light in vacuum $c = 3.0\times10^{8}\ m/s$, and the wave - speed formula is $c=\lambda f$, where $c$ is the speed of the wave, $\lambda$ is the wavelength, and $f$ is the frequency. We need to solve for $f$, so $f=\frac{c}{\lambda}$.

Step2: Convert the wavelength to SI units

The given wavelength $\lambda = 635\ nm=635\times10^{- 9}\ m = 6.35\times10^{-7}\ m$.

Step3: Calculate the frequency

Substitute $c = 3.0\times10^{8}\ m/s$ and $\lambda=6.35\times10^{-7}\ m$ into the formula $f=\frac{c}{\lambda}$.
$f=\frac{3.0\times10^{8}\ m/s}{6.35\times10^{-7}\ m}\approx4.72\times10^{14}\ Hz$

Answer:

$4.72\times10^{14}$