Dual Nature Of Light Question 131

Question: For the Bohr’s first orbit of circumference $ 2\pi r $ , the de-Broglie wavelength of revolving electron will be [MP PMT 1987]

Options:

A) $ 2\pi r $

B) $ \pi r $

C) $ \frac{1}{2\pi r} $

D) $ \frac{1}{4\pi r} $

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Answer:

Correct Answer: A

Solution:

$ mvr=\frac{nh}{2\pi } $ According to Bohr?s theory
Þ $ 2\pi r=n,( \frac{h}{mv} )=n\lambda $ for $ n=1 $ , $ \lambda =2\pi r $