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  • Number of waves made by a Bohr electron in one complete revolution in 4th orbit is:-Option: 1 4<stro

Number of waves made by a Bohr electron in one complete revolution in 4th orbit is:-

Option: 1

4


Option: 2

3


Option: 3

2


Option: 4

1


Answers (1)

best_answer

Circumference of 4th orbit =2 \pi r _4

According to Bohr, the angular momentum of an electron in 4th orbit is:-
\mathrm{ m vr{_4}=\frac{4 h}{2 \pi} \text { or } \frac{h}{m v}=\frac{2 \pi r_4}{4}=\frac{\pi r_4}{2}}

By de-Broglie's equation :-

\mathrm{\begin{aligned} \lambda=\frac{h}{m v} \Rightarrow \lambda=\frac{\pi r _4}{2} \Rightarrow & (2 \lambda=\pi r_4) \\ & 4 \lambda=2 \pi r _4 \end{aligned}}\\\mathrm{\lambda=\frac{h}{m v} \Rightarrow \lambda=\frac{\pi r _4}{2} }\\\\\Rightarrow (2 \lambda=\pi r_4) \\ \\\Rightarrow 4 \lambda=2 \pi r _4

\mathrm{2 \pi r _{4}=4 \lambda}

i.e circumference of 4th orbit is three twines the wavelength of electron or number of waves made by Bohr electron in one complete revolution in 4th orbit is (4)

Option (1) is correct.

Posted by

Ritika Jonwal

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