Which of the plots shown in the figure represents speed `(v_n)` of the electron in a hydrogen atom as a function of the principal quantum number (n)?

Options

A. B
B. D
C. C
D. A

Answer

A

Explanation

Velocity of electron in `n^(th)` orbit of hydrogen atom is given by :
` V_n = ( 2pi Kz e^2)/( nh) `
substiuting the values we get
` V_n = ( 2.2 xx 10^6 )/(n ) m//s or V_n prop (1)/(n)`
As principal quantum number increases velocity decreases .