Recall Planck's constant equals 6.63 × 10−34 J·s and the speed of light is 3.00 × 108 m/s. Calculate the wavelength (in nm) of a photon emitted by a hydrogen atom when its electron drops from the n = 5 state to the n = 3 state.

The wavelength of light is 1281.9 nm

Explanation:

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

Where,

= Wavelength of radiation

= Rydberg's Constant  =

= Upper energy level = 3

= Lower energy level = 5

Putting the values in above equation, we get:

Converting this into nanometers, we use the conversion factor:

So,

Hence, the wavelength of light is 1281.9 nm

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