Quantum Mechanics Physics Unit 2 Important Questions for BSc 3rd Year

 

                     Unit-2

"Schrodinger Wave Equation"

Q-1) Derive Schrodinger Wave Equation For a One Dimensional Harmonic Oscillator. What are the energy levels?

[MDU-2011,2012,2013,2015,2016,2017,2018,2019,2021,2022  CBLU-2019,2021,2022 IGU-2019,2021]
Q-2) Write Notes on the following:-
   (1) Normalisation of wave function [MDU-2013,2015,2016,2017,2018  CBLU-2019,2022 IGU-2019,2021]
  (2) Eigen Values And Eigen function [MDU-2015 CBLU-2021,2022 IGU-2019,2021]
  (3) Observable And Operator [MDU-2013,2016,2017 IGU-2021]
  (4) Orthogonal of wave functions [MDU-2015,2016,2017,2018,2021 IGU-2019]
  (5) Limitations of Wave function ¥{Sai} [MDU-2013,2021]
  (6) Expectations Values of dynamic function [MDU-2021]
(7) Operation And Linear Operator [CBLU-2021]
(8) Probability Current Density [MDU-2016]

Q-3) Explain the physical significance of wave function ?

[MDU-2011,2016,2019. CBLU-2019]

Q-4) Schrodinger Time-Dependent wave equation?

[MDU-2013,2016,2017,2018,2019,2022 CBLU-2019,2022 IGU-2019]

Q-5) Schrodinger Time-Independent wave equation?

[MDU-2011,2017,2019 CBLU-2022]

Q-6) Wave function of a particle which is Confined  to remain in a reason for x=0  to x=a on the k-axis is given by

¥[x] = Cos(nπx)/a
     Where , n is an integer
Normalize the wave function.
[MDU-2021]

Or

In [CBLU-2022]
Function change by
¥[x] = AnSin(2πnx)/L

Q-7) Show that phase of Time-Dependent Part of the Wave function is given by e^-iEt/h.

[MDU-2021]

Q-8) Which of the following wave function are Acceptable in Quantum mechanics and why ?
(1)Cosec(x)     (2)Tan(x)
(3)Sin(x).          (4)Sin(x)+Cos(x)
[CBLU-2019,2021]