Question

. The quantum mechanical treatment of the hydrogen atom gives the energy value: En = -13.6 EV
atom-1. Use this expression to find the energy of an electron in 3
rd orbit

Answer 1

Explanation:

The proton ( p+ ) and electron ( e− ) of the hydrogen atom. b) Equivalent reduced particle with reduced mass μ at distance r from center of mass.

Since the internal motion of any two-particle system can be represented by the motion of a single particle with a reduced mass, the description of the hydrogen atom has much in common with the description of a diatomic molecule discussed previously. The Schrödinger Equation for the hydrogen atom

H^(r,θ,φ)ψ(r,θ,φ)=Eψ(r,θ,φ)(11.10.1)

employs the same kinetic energy operator, T^ , written in spherical coordinates. For the hydrogen atom, however, the distance, r, between the two particles can vary, unlike the diatomic molecule where the bond length was fixed, and the rigid rotor