Atomic & Molecular Physics-Relativistic Corrections for Energy Levels of Hydrogen Atom (CSIR Physical Sciences): Questions 1 - 2 of 4

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Question number: 1

» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom

Appeared in Year: 2011

MCQ▾

Question

The energy levels of the non –relativistic electron in a hydrogen atom i. e. , in a Coulomb potential V(r)1r are given by Enlm1n2 , where, n is principal quantum number, and the corresponding wave functions are given by ψnlm , where l is the orbital angular momentum quantum number and m is the magnetic quantum number. The spin of the electron is not considered. Which of the following is a correct statement? - (June)

Choices

Choice (4) Response

a.

Enlm does not depend on l and m for the Coulomb potential

b.

There are l(l+1) different wave function ψnlm for each Enlm

c.

There is a unique wave function ψnlm and Enlm

d.

There are exactly (2l+1) different wave function ψnlm , for each Enlm

Question number: 2

» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom

Appeared in Year: 2013

MCQ▾

Question

The energy of an electron in a band as a function of its wave vector k is given by E(k)=E0B(coskxa+coskya+coskza) , where E0,B and a are constants. The effective mass of the electron near the bottom of the band is – (Dec -2013)

Choices

Choice (4) Response

a.

23Ba2

b.

223Ba2

c.

22Ba2

d.

2Ba2

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