61 751
Assignments Done
Successfully Done
In May 2018

Answer to Question #2477 in Atomic and Nuclear Physics for berkan

Question #2477
Evaluate the Rydberg constant R using Bohr theory and show that its value is R = 1.0974x10-1.
Expert's answer
The energy of electron in atom
E=(mV2)/2-(Ze2)/(4πε0 r.) (1)

The balance of forces
(Ze2)/(4πε0 r2 )=(mV2)/r (2)

From here we get
E=-(Ze2)/(8πε0 r.) (3)

Multiplying (2) by mr^3 and using L=nħ we get
(Ze^2 mr)/(4πε_0 )=(mVr)^2=n^2 ħ^2

And finally
E=-(Ze^4 m)/(32 ε_0^2 π^2 n^2 ħ^2.)

hν=(Ze4 m)/(32 ε_02 π2 ħ2 )(1/(n12 )-1/(n22 ))

but as we know from atomic physics

hν=hcR(1/(n12 )-1/(n22 ))

R = (Ze4 m)/(32ε02 π2 ħ3 c) = 1.0974

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

Privacy policy Terms and Conditions