The difference between the radii of n^ th and (n+1)^ th orbits of hydrogen atom is equal to the radius of (n-1)^ th orbit of hydrogen. The angular momentum of the electron in the n^ th orbit is _________ ( h is Planck's constant).

Step-by-step solution

(b) Radius of n^ th orbit in an atom, r_n= n^2 h^2 4 ^2 m Z e^2 So, r_n n^2 Given in question, difference between radii of (n+1)^ th and n^ th orbit = radius of n^ th orbit. aligned (n+1)^2-n^2 & =(n-1)^2 n^2-4 n & =0 or n=4 aligned According to Bohr's postulate, angular momentum is an integral multiple of h 2 . So, for 4^ th orbit, L= n h 2 = 4 h 2 = 2 h