Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

The de-Broglie wavelength of an electron in the first Bohr orbit is :

Options:

Equal to one fourth the circumference of the first orbit

Equal to half the circumference of the first orbit

Equal to twice the circumference of the first orbit

Equal to the circumference of the first orbit

Correct Answer:

Equal to the circumference of the first orbit

Explanation:

$m v r_n=\frac{n h}{2 \pi} \Rightarrow p r_n=\frac{n h}{2 \pi} \Rightarrow \frac{h}{\lambda} \times r_n=\frac{n h}{2 \pi}$

$\Rightarrow \lambda=\frac{2 \pi r_n}{n}$, for first orbit n = 1 so $\lambda=2 \pi r_1$ = circumference of first orbit