Which of the following statements are not correct?

Options

A. The ionization energy of a hydrogen-like species in its ground state is equal to the magnitude of energy of the orbit having n = 1
B. The ionization energy of a hydrogen-like species in its ground state increases in proportion to the positive charge in its nucleus
C. According to the uncertainty principle, `Delta_P Delta_x le h//4pi`
D. The energy of an electron in an orbital of a multielectron atom depends only on the principal quantum number n

Answer

B, C, D

Explanation

a) For ionization , `n_2 = oo` . Hence
`Delta E = R(1//n_1^2)`
b) The ionization energy increases in proportion to the square of positive charge in the nucleus as is evident from the expression
`R =(2pi^2 m (Ze^2 //4pi epsi_0)^2)/(h^3 c) and Delta overset(~)E_("ioniz") = R`
c) The correct expression is `Deltap Delta x ge h// 4pi`
d) For a multi-electron atom, the energy of an orbital depends on both principal and azimuthal quantum numbers. The larger the value of n+ l , larger the energy . For the same value of n + l , larger the value of n , larger the energy.