Question #fd5ae
1 Answer
Explanation:
The thing to remember about wavelength,
#color(blue)(ul(color(black)(nu * lamda = c)))#
Here
This inverse relationship basically means that if you multiply the frequency and the wavelength of a given electromagnetic wave, the result will always be equal to the speed of light.
You can rearrange the equation to solve for
#nu * lamda = c implies lamda = c/(nu)#
Now, keep in mind that the frequency of yellow light is given to you in hertz,
You will thus have
#lamda = (3 * 10^8"m" color(red)(cancel(color(black)("s"^(-1)))))/(5.1 * 10^(14) color(red)(cancel(color(black)("s"^(-1))))) = color(darkgreen)(ul(color(black)(5.9 * 10^(-7)"m")))#
The answer is rounded to two sig figs because the speed of light is a constant, which implies that you can use it with as many significant figures as you want.