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Question: Answered & Verified by Expert
Consider an electron in a hydrogen atom, revolving in its second excited state (having radius 4.65 Å ). The de-Broglie wavelength of this electron is:
PhysicsDual Nature of MatterJEE MainJEE Main 2019 (12 Apr Shift 2)
Options:
  • A 12.9 Å
  • B 6.6 Å
  • C 9.7 Å
  • D 3.5 Å
Solution:
2521 Upvotes Verified Answer
The correct answer is: 9.7 Å
According to Bohr’s atomic model
mvr=nh2π
And the de-Broglie wavelength
λ=hmv
From the above two equations we can write, λ=2πrn
In the 2nd excited state
λ=2πr3
  λ=23π×4.65  =9.7 

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