Ahydrogen atom in an excited state emits a photon of frequency ν = 3.084 x 1015 s-1. if the electron returns to the ground state, in which level was it before the photon was emitted?

The photon was emitted from the 4th energy level

Explanation:

To calculate the wavelength of light, we use the equation:

where,

= wavelength of the light  

c = speed of light =

= frequency of light =

Putting the values in above equation, we get:

To calculate the initial level, we use the equation given by Rydberg's equation, which is:

where,

= Wavelength of radiation  

= Rydberg's Constant  =

= Final energy level =  1  

= Initial energy level =  ?

Putting the values, in above equation, we get

Hence, the photon was emitted from the 4th energy level