Question

Radius of the first orbit in H-atom is $a_0$. Then, de Broglie wavelength of electron in the third orbit is

• A. 3$\pi$a0
• B. 6$\pi$a0
• C. 9$\pi$a0
• D. 12$\pi$a0

Answer 1

Answer: (B)

6$\pi$a0

Answer 2

The correct option is (B): $6\pi a_0$
λ = $\frac{4}{mv}$
λ =$\frac{2\pi r}{n}$
λ = $\frac{2\pi a_0n^2}{n}$
λ =$2\pi a_0n$
λ = $6\pi a_0$