Question # Choose the correct relation on the basis of Bohr's theory

# Choose the correct relation on the basis of Bohr's theory

(A) Velocity of electron ( propto frac{1}{n^{2}} )

(B) Frequency of revolution ( propto frac{1}{n^{2}} )

(C) Radius of orbit ( propto n^{2} Z )

(D) Electrostatic force on electron ( propto frac{1}{n^{4}} )

Solution

velocity ( alpha quad frac{z}{n} )

Radius ( alpha frac{n^{2}}{2} )

force ( =frac{k^{2} e^{2}}{gamma^{2}}=frac{k 2 e^{2}}{n^{4}} ; frac{k^{3} e^{2}}{n^{4}} alpha frac{1}{n^{4}} )

frovely ( =frac{v}{2 pi r}=frac{2 x^{2}}{n n^{2}}=frac{2^{2}}{n^{3}} cdot frac{1}{n^{3}} )

reene

(D) ( {text { correct}}{text { force }} alpha frac{1}{n^{4}} )