Question

(a) Find (r) and (r2) for an electron in the ground state of hydrogen. Express your answers in terms of the Bohr radius a. If a measurement on r is performed for the ground state wavefunction, what is the most probable value? (b) Find (x) and (x2) for an electron in the ground state of hydrogen. Hint: This requires no new integration-note that r2 = x2 + y2 + z2, and exploit the symmetry of the ground state.

Answer 1

9. ground state of hydrogen adom is given wave function Mime = Cup (277) <rja Su ne pindah para el freept 20%) par na nga ye nn = a <n)= Sylt mo pa yon de - warto irrespezie) rähis • 4X24 x as² = 300 32 5) <H2>= <*2)+<73) + 23) : due to symmetry <x²) =<4²) =(2²) (x)=0 since ta and axe are equally probable. probabiling of finding é at tx and ax is same so K*)=0

Answer 2

find r and r suqer for the electron of ground state of hydrogen atom answer in terms of bohar ridus