Q.

An electron is moving in Bohr's fourth orbit. Its de-Broglie wavelength is λ. Calculate the circumference of the fourth orbit.

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a

2λ

b

4λ

c

4λ

d

2λ

answer is B.

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Detailed Solution

According to Bohr's concept, an electron always move in the orbit with angular momentum (mvr) equal to nh2π.∴  mvr=nh2π  ∵λ=hmvand m = 4∴   Circumference =2πr=4·hmv=4λ
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