Find out the wavelength of the electron orbiting in the ground state of hydrogen atom.

For electron revolving in n^th orbit and having radius of orbit as r_n we

have,

Where,

n = number of the orbit

λ = wavelength

r_n = radius of the orbit

For electron orbiting in ground state,

λ=2π×0.53 Å [ ∵ n = 1 ; r_n = 0.53 Angstroms]

∴ λ = 2π × 0.53

= 3.331 Å