Calculate the wavelength of the photon emitted when an electron makes a transition from n=5to n=3. You can make use of the following constants:h=6.626×10−34J⋅sc=2.998×108m/s1 m=109nmExpress your answer to four significant figures and include the appropriate units. λλ =

Question
Asked Nov 26, 2019
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Calculate the wavelength of the photon emitted when an electron makes a transition from
n=5
to
n=3
. You can make use of the following constants:
h=6.626×
10
−34
J⋅s
c=2.998×
10
8
m/s
1 m=
10
9
nm
Express your answer to four significant figures and include the appropriate units.

 


λ
λ
=

 

 

 

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Expert Answer

Step 1

Electromagnetic spectrum involves different radiations from the lowest to the highest frequency values. Some common radiations which are part of electromagnetic radiations are infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

Step 2

The wavelength of radiation that involves in the transition of electron from one energy level to another can be calculated as:

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1 1 RZ2 m n 1 m lower energy level n higher energy level R Rydberg constant = 1.097 x 10 nm1 = 1.097 x 10'm1

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Step 3

 Substitute the values to calculate the wavelength f...

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1 RZ2 m2 n2 1 1.097 x 10 m(1) 1 1 32 52 1 0.0780 x 10'm1 1 0.0780 x 10'm =12.82 x 107m =12.82 x 107x 10°nm = 1282 nm 12.82 x 107 m or 1282 nm

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