Question

What is the frequency of blue light that has a wavelength of 446 nm?

I need the answer in Hz

Answer 1

From Electromagnetic Waves,
Velocity C = f *λ

Where C = Velocity in m/s. = 3 * 10^8 m/s.
f = Frequency in Hertz ( /s)
λ = Wavelength in metres.

Wavelength of blue light = 446 nm = 446 nano metres = 446 * 10^-9 m.

f = C / λ = ( 3 *10^8) / (446 * 10^-9) use your calculator.
= 6.7265 * 10 ^ 14 Hertz.

Answer 2

When I went through with the math, the answer I came upon was:
6.67 X 10^14

Here is how I did it: First of all we need to know the equation.

c=nu X lamda
(speed of light) = (frequency)(wavelength)
(3.0 X 10^8 m/s) = (frequency)(450nm)

We want the answer in meters so we need to convert 450nm to meters.
450nm= 4.5 X 10^ -7 m
(3.0 X 10^8 m/s) = (frequency)(4.5 X 10^ -7 m)

Divide the speed of light by the wavelength.
(3.0 X 10^8m/s) / (4.5 X 10^ -7m) =6.67 X 10^ 14 per second or s-

Answer: 6.67 X 10^14 s- hope this helps