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Question: Answered & Verified by Expert
The radius of the \( 4^{\text {th }} \) Bohr orbit is \( 0.864 \mathrm{~nm} \). The de Broglie wavelength of the electron in that orbit is:
PhysicsDual Nature of MatterJEE Main
Options:
  • A \( 13.297 Å \)
  • B \( 1.3565 \mathrm{~nm} \)
  • C \( 1.3291 \mathrm{pm} \)
  • D \( 0.1329 \mathrm{~nm} \)
Solution:
1334 Upvotes Verified Answer
The correct answer is: \( 1.3565 \mathrm{~nm} \)

Circumference of Bhor's atomic orbit is related to De-Broglie wave  length (λ) is as given below2π rn=nλ

n= Orbit number

n=4

rn = radius of the nth orbit

rn = 0.864 nm λ=2π rnn=2×3.14×0.8644 nm
= 1.3565 nm

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