Question

What is the frequency of the light with a wavelength of 4.90x10^-7 m

Answer 1

Answer: $6.12\times 10^{14}$ Hz

Explanation: Recall the formula for the speed of light is

$c=\lambda v$

where $c$ is the speed of light,$\lambda$ is the wavelength, and $v$ is the frequency. Assuming this takes place in a vacuum, $c=3.00\times 10^8$ m/s. Now we can solve for frequency

$c=\lambda v$

$3.00\times 10^8 = 4.90\times 10^{-7}\cdot v$

$v = \frac{3.00\times 10^8}{4.90\times 10^{-7}}$

$v =6.12\times 10^{14}$ (rounding to 3 sig figs)

Thus, the frequencyis $6.12\times 10^{14}$ Hz.