Asked Nov 23, 2019

An electron in the n = 5 level of an H atom emits a photon of wavelength 1282.17 nm. To what energy level does the electron move?




Expert Answer

Step 1

Given information:

Wavelength = 1282.17 nm

Initial state of an electron = 5

Step 2

Rydberg’s equation is used to calculate the wavelength of emitted photon which is given as follows:


Image Transcriptionclose

1 = R. n2 n where, R is the Rydberg,s constant having value 1.0974x10 m1 is the wavelength of emmitted photon n is initial energy level n, is the final energy level

Step 3

As, the light is emitted that means the transition of electron is taking place from high energy level to lower energy level thus, value of initial state is greater than fin...


Image Transcriptionclose

1 1 = R 1282.17x109 m 2 1 1 = 1.0974x10' m. 1282.17x10 m 1 1 1282.17x109 mx1.0974x 10 m4 52 1 52 1282.17x109 mx1.0974x10 m4 1 =0.111 n2 1 n2 0.111 n2 =V9.009 =3.01 n2 3


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