Let r,v and E are the radius of the orbit, speed of the electron and the total energy of the electron respectively. Which of the following quantities are proportional to the quantum number’n’?
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Answered by
1
Answer:
The velocity of revolving electron is: v=2nhϵ0e2
The Rydberg's constant is: R=8ϵ02h3cme4
Hence, vR=2nhϵ0e2×8ϵ02h3cme4
vR=16nh4ϵ03cme6
Since, n,h, ϵ0, m,c and e are constant.
Hence, the vR is inversely proportional to principal quantum number(n).
The energy of an electron is:
E=8n2h2ϵ02−me4
Hence, Ev=8n2h2ϵ02−me4
hope this helps you please mark my answer as branliest
Answered by
0
Answer:
Hey Mate! Here Is Your Answer
The velocity of revolving electron is: v=2nhϵ0e2
The Rydberg's constant is: R=8ϵ02h3cme4
Hence, vR=2nhϵ0e2×8ϵ02h3cme4
vR=16nh4ϵ03cme6
Since, n,h, ϵ0, m,c and e are constant.
Hence, the vR is inversely proportional to principal quantum number(n).
The energy of an electron is:
E=8n2h2ϵ02−me4
Hence, Ev=8n2h2ϵ02−me4
Hope this helps you
Please mark my answer as brainlist and follow me please mark
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