The energy associated with Bohr's orbit in the hydrogen atom is given by the expression, E_n=- 13.6 n^2 eV . The energy in eV associated with the orbit having a radius 9 r₁ is ( r₁ is the radius of the first orbit)

Step-by-step solution

Given, Energy associated with Bohr's orbit in the hydrogen atom E_n=- 13.6 n^2 eV Now, radius of Bohr's orbit, r_n=0.529 n^2 Z Å or r_n=r₁ n^2[ Z=1 for hydrogen ] Given, or r_n=9 r₁r₁ n^2=r₁ 9 or n^2=9 or n=3 So, the energy associated with the orbit of radius 9 r₁ can be given as: aligned & E₉=- 13.6 9 eV =-1.51 eV & E₉=-1.51 eV aligned