CSIR Chemical Sciences: Questions 260 - 262 of 329

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Question number: 260

» Physical Chemistry » Principles of Quantum Mechanics » Harmonic Oscillator and the Hydrogen Atom

Appeared in Year: 2013

MCQ▾

Question

Consider a two-dimensional harmonic oscillator with the potential energy vx,y=12kxx2+12kyy2. If φnx(x)andφny(y) are eigensolutions and EnxandEny are Eigen states of Harmonic oscillator problem in x and y direction with potential 12kxx2and12kyy2. Respectively, the wave function and eigen values of the above two dimensional harmonic oscillator problem are ________ (Dec)

Choices

Choice (4) Response

a.

φnx,ny=φnx(x)+φny(y)andEnx,ny=Enx+Eny

b.

φnx,ny=φnx(x)+φny(y)andEnx,ny=EnxEny

c.

φnx,ny=φnx(x)+φny(y)andEnx,ny=EnxEny

d.

φnx,ny=φnx(x)φny(y)andEnx,ny=Enx+Eny

Question number: 261

» Physical Chemistry » Principles of Quantum Mechanics » Harmonic Oscillator and the Hydrogen Atom

Appeared in Year: 2013

MCQ▾

Question

Hydrogenic orbitals with from of radial function: - [r2(α1r)(α2r)exp(βr)] where α1α2 and β are constant may be defined as: (June)

Choices

Choice (4) Response

a.

3d

b.

4f

c.

5d

d.

5f

Question number: 262

» Physical Chemistry » Principles of Quantum Mechanics » Postulates

Appeared in Year: 2014

MCQ▾

Question

For one electron system with l=0andM=0 the function N0eσandN1(2σ)eσ2 refer respectively to ground state (E0) and first excited state ( E1 ) energy levels. If a vibrational wave function N2(3σ)eσ yields an average energy E¯ , it will satisfy (Dec)

Choices

Choice (4) Response

a.

E¯E1

b.

E0E¯E1

c.

E¯0

d.

0E¯E0

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