Atoms And Nuclei Question 29

Question: Consider an electron in the nth orbit of a hydrogen atom in the Bohr model. The circumference of the orbit can be expressed in terms of the de Broglie wavelength $ \lambda $ of that electron as [CBSE PMT 1990]

Options:

A) $ (0.259)\ n\lambda $

B) $ \sqrt{n}\lambda $

C) $ (13.6)\ \lambda $

D) $ n\lambda $

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Answer:

Correct Answer: D

Solution:

According to Bohr’s theory $ mvr=n\frac{h}{2\pi } $
Þ Circumference $ 2\pi r=n,( \frac{h}{mv} )=n\lambda $



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