Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 5 to the level n = 2.

The wavelength of light emitted is 434 nm

Explanation:

To calculate the wavelength of light, we use Rydberg's Equation:

Where,

= Wavelength of radiation

= Rydberg's Constant  =

= final energy level = 2

= initial energy level = 5

Putting the values in above equation, we get:

As, the electron is getting emitted from n = 5 to n = 2. So, the wavelength will come out to be negative because it is getting emitted.

Converting this into nanometers, we use the conversion factor:

So,

Hence, the wavelength of light emitted is 434 nm

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