Question

Identify the correct statement(s).
The findings from the Bohr model for H-atom are:

• A. angular momentum of the electron is expressed as integral multiples of $\frac{h}{2\pi }$
• B. the first Bohr radius is 0.529 $\stackrel{o}{A}$
• C. the energy of the n${}^{th}$ level $E_n$ is proportional to $\frac{1}{n^2}$
• D. the energy spacing between adjacent levels increases with increase in 'n'

Answer 1

Answer: (A), (B), (C)

The correct options are
A the first Bohr radius is 0.529 $\stackrel{o}{A}$
B angular momentum of the electron is expressed as integral multiples of $\frac{h}{2\pi }$
C the energy of the n${}^{th}$ level $E_n$ is proportional to $\frac{1}{n^2}$

(A) Angular Momentum $=\frac{nh}{2\pi };$ where, $n=1,2,3$

(B) $a_0=0.529A$ (Fact)

(C) $E_n=\frac{(-13.6eV/atom)z^2}{n^2}$ (Fact) $\therefore E_n\propto \frac{1}{n^2}$

(D) $(E_2-E_1)>(E_3-E_2)>(E_4-E_3)$ ..... from the above reaction.