A beam of light having wavelengths distributed uniformly between 450 nm to 550 nm passes through a sample of hydrogen gas. Which wavelength will have the least intensity in the transmitted beam?

Question

Philoid · Accepted Answer

As we know that energy associated with a wavelength

Is equal to where is in nm and this is derived from.

So,

Energy associated with 450nm wavelength

Energy associated with 550nm wavelength

Since the light is coming in the visible region.

So, we have n1=2 and n2=3,4,5,6….and so on.

Now energy corresponding to change in these transition state is

E₂-E₃

E₂-E₄

E₂-E₅

As E₂-E₄ is in range between the two energy produced by two given wavelengths so wavelength corresponding to this energy is absorbs.