Question

Aline in the spectrum of atomic mercury has wave length of 254nm when mercury emits a photon of light at this wave length. What is the frequency of the light?

Answer 1

To find the frequency of light emitted by mercury with a wavelength of 254 nm, you can use the formula:

c = λν

Where: c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s) λ is the wavelength in meters ν is the frequency in hertz (Hz)

First, convert the wavelength from nanometers to meters:

254 nm = 254 x 10^(-9) m

Now, you can rearrange the formula to solve for the frequency:

ν = c / λ

Substituting the values:

ν = (3.00 x 10^8 m/s) / (254 x 10^(-9) m)

Calculating the frequency:

ν ≈ 1.181 x 10^15 Hz

Therefore, the frequency of the light emitted by atomic mercury with a wavelength of 254 nm is approximately 1.181 x 10^15 Hz.