Calculate the wavenumber of photon emitted during transition from the orbit of n=3 to n=2 in hydrogen atom. ( R _ H =109677 ~cm ⁻¹ )

Step-by-step solution

v =109677 [ 1 n_f^2 - 1 n_i^2 ] cm ⁻¹=109677 [ 1 2^2 - 1 3^2 ] cm ⁻¹=109677 [ 1 4 - 1 9 ] cm ⁻¹=109677 [ 9-4 9 4 ] cm ⁻¹=109677 [ 5 36 ] cm ⁻¹=15232.9 ~cm ⁻¹