14.
15.
16.
37,

18.
19,
20.
21.
29.
23.
24.

25.

26.

27.

28.
29.

13994

2 D 10244

What are Hermition operators ? Write one example.
Write down the validity conditions of wave functions.
State Exclusion principle.
Bring out the conclusion of Stern Gerlach experiment.
(7 x 2 = 14 marks)
Section C (Paragraph Type)

Answer any five questions in a paragraph of about half a page to one page.
Each question carries 4 marks.

Write a short note on Compton effect.
Discuss the principle and working of electron microscope.
Discuss Correspondence principle.
Write a short note on tunnel effect.
Write a note on scanning tunneling microscope.
Briefly discuss Zeeman effect.
What are the quantum numbers used in hydrogen atom ? Explain.
(5 x 4 = 20 marks)
Section D (Problems)

Answer any four questions.
Each question carries 4 marks.

The threshold frequency of a certain metal is 3.3 x 1014 Hz. If light of frequency 8.2 x 10!4 Hz is
incident on the metal, then find the cut off voltage for photo electric emission.

An electron has a speed of 500m/s with an accuracy of 0.004%. Calculate the certainty with which
we can locate the position of the electron.

A Positronium atom is a system that consists of a positron and an electron that orbit each other.

Compare the wavelengths of the spectral lines of positronium with those of ordinary hydrogen.
Find the shortest and longest wavelength in the Balmer series.

Prove that commuting operators have common set of eigen functions.

13994