Answer to Question #247093 in Physics for Reena Biswas

Question

The wave function of the hydrogen atom in its ground state (1s) is ψ=(πa03)−12exp(−ra0 where a0=0.529×10−8 cm. The charge density is ρ(x,y,z)=−e|ψ|2, according to the statistical interpretation of the wave function.

Then the value of ⟨r⟩ is given by

a, 5a02

b, 2a02

c, 4a02

d, 3a02

Answer 1

The value of ⟨r²⟩ is given by $3a_0^2$.