Question

Frequency (y) varies inversely with wavelength (x). Find the frequency (measured in THz ) of blue light if its k value is 175,720 and its wavelength is 230 meters. (Round to nearest whole number if necessary)

Answer 1

We have been that frequency (y) varies inversely with wavelength (x).

We know that two inversely proportional quantities are in form $a=\frac{k}{b}$, where a is inversely proportional to b and k is constant of variation.

Our required equation would be $y=\frac{k}{x}$.

To find frequency of blue light, we will substitute $k=175,720$ and $x=230$ in our equation as:

$y=\frac{175,720}{230}$

$y=764$

Therefore, the frequency of blue light is 764.