What is the frequency of a blue light with a wavelength of 487nm?
To find the frequency of a wave, you can use the formula:
frequency (ν) = speed of light (c) / wavelength (λ)
In this case, the wavelength of the blue light is given as 487 nm. The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s) or 3.00 x 10^17 nanometers per second (nm/s).
First, convert the wavelength from nanometers (nm) to meters (m):
487 nm = 487 x 10^-9 m
Next, substitute the values into the formula:
frequency (ν) = (3.00 x 10^17 nm/s) / (487 x 10^-9 m)
Now, calculate the frequency:
ν = 3.00 x 10^17 / 487 x 10^-9 ≈ 6.16 x 10^14 Hz
Therefore, the frequency of the blue light with a wavelength of 487 nm is approximately 6.16 x 10^14 Hz.