An electron is moving in an orbit of a hydrogen atom from which there can be a maximum of six transition. An electron is moving in an orbit of another hydrogen atom from which there can be a maximum of three transition. The ratio of the velocities of the electron in these two orbits is

Step-by-step solution

Number of spectral lines obtained due to transition of electrons from n th orbit to lower orbit is, array ll & N = n ( n -1) 2 I case & 6= n ₁ ( n ₁-1 ) 2 & n ₁=4 II case & 3= n ₂ ( n ₂-1 ) 2 & n ₂=3 array Velocity of electron in hydrogen atom in n th orbit aligned v _ n & 1 n v _ n v _ n &= n ₂ n ₁ v ₆ v ₃ &= 3 4 aligned