All the problems below refer to the electron in a hydrogen atom. e. a a 1) consider the electron in the 2s state (i) calculate the expectation value of the distance between the electron and the nucleus, . (ii) calculate the expectation value of the reciprocal distance between the electron and the nucleus, < 1/r [hint: you can find both these quantities by integrating only the radial part of the wavefunction because the 2s orbital is spherically symmetric.] (iii) is < 1/r> the same as 1/? why / why not? (iv) what is the physical meaning of < 1/r> ?