What is the wavelength of radiation emitted?

An electron absorbs 4.784 x 10^-22 J of energy in order to move from ground state(n=1) to the n=2 level. When the electron dropped back down to ground state it emitted electromagnetic radiation.



What was the wavelength of radiation emitted?



What was the frequency of the radiation?



What type of waves were emitted?



I really confused on how to do this question! Any help is welcome,



Thanks!What is the wavelength of radiation emitted?
Use the Rydberg equation. It is stated as follows:



1/位 = Rh ((1/nb^2) - (1/ns^2)



So you're going from ground state (nb = 1) to one level higher (ns = 2). Put your numbers in..



= 1.097e7 (1/1 - 1/4)

= 8227500



Put that number under 1 to get wavelength.



1/8227500 = 1.22e-7 m or 122 nm



To convert to frequency, put 位 under c, the speed of light in a vacuum.



2.998e8 / 1.22e-7 = 2.46e15 Hz



Then to determine the types of waves emitted, look at the electromagnetic spectrum. Judging by the spectrum, UV waves were emitted (shorter 位 than visible but longer than x-ray).