Dual Nature Of Light Question 142

Question: According to de-Broglie, the de-Broglie wavelength for electron in an orbit of hydrogen atom is 10?9 m. The principle quantum number for this electron is [RPMT 2003]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ 2\pi ,r,n=\lambda \Rightarrow n=\frac{\lambda }{2\pi ,r}=\frac{{{10}^{-9}}}{2\times 3.14\times 5.13\times {{10}^{-11}}}=3 $