Question

Select the correct relations on the basis of Bohr theory.

• A. Velocity of electron $\propto \frac{1}{n}$
• B. Frequency of revolution $\propto \frac{1}{n^3}$
• C. Radius of orbit $\propto n^{2}Z$
• D. Force on electron $\propto \frac{1}{n^4}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A Velocity of electron $\propto \frac{1}{n}$
B Frequency of revolution $\propto \frac{1}{n^3}$
D Force on electron $\propto \frac{1}{n^4}$

The options (A), (B) and (D) represents the correct relations on the basis of Bohr theory.

(A) Velocity of electron $\propto \frac{1}{n}$
Velocity of electron $u=\frac{Z}{n}\times 2.19\times {10}^8$ cm/sec.
(B) Frequency of revolution $\propto \frac{1}{n^3}$
Frequency of revolution $=\frac{2E_1}{h{n}^3}$
(C) Radius of orbit $\propto \frac{n^2}{Z}$
Radius of orbit $r_n=\frac{n^2}{Z}\times 0.529A^o$
(D) Force on electron $\propto \frac{1}{n^4}$
Force on electron $\propto \frac{16{\pi }^4{m}^2{Z}^3{e}^6{k}^3}{n^4{h}^4}$