The normalised radial component of the wavefunction for the ground state of hydrogen is given by (n = 1,1 = 0, m = 0) 1 V100 (r) = re(-r/ao) 3 V Tao where ao is the Bohr radius, qe is the electronic charge, u is the reduced mass and the other symbols have their standard meanings. An infinitesimal volume element in spherical polar coordinates is given by dV p- sin 0 do do dr. Use this expression to write down an expression for the probability density of an electron in the ground state of the hydrogen atom and hence explain why the probability per unit volume of finding the electron at the origin is zero.

The normalised radial component of the wavefunction for the ground state of hydrogen is given by (n = 1,1 = 0, m = 0) 1 V100 (r) = re(-r/ao) 3 V Tao where ao is the Bohr radius, qe is the electronic charge, u is the reduced mass and the other symbols have their standard meanings. An infinitesimal volume element in spherical polar coordinates is given by dV p- sin 0 do do dr. Use this expression to write down an expression for the probability density of an electron in the ground state of the hydrogen atom and hence explain why the probability per unit volume of finding the electron at the origin is zero.