30.

31.

32.

33.

34.

35.

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3 D 10244

A particle limited to the x-axis has the wave function y = ax between x = 0 andx =1; y =0
elsewhere : (a) find the probability that the particle can be found between x = 0.45 and x = 0.55;
(b) find the expectation value of the position of the particle.

A sample of a certain element is placed in a 0.300T magnetic field and suitably excited. How far
apart are the Zeeman components of the 450nm spectral line of this element ?

(4x 4= 16 marks)
Section E (Essays)

Answer any two questions in about two pages.

Each question carries 10 marks.

Explain ultraviolet catastrophe. With reference to Planck’s formula explain how Max Planck solve
this discrepancy.

What do you mean by de Broglie waves ? Explain the experiment that confirms the existence of de

Broglie waves.
Explain the different postulates of quantum mechanics in detail.

Write the Schrodinger equation for hydrogen atom and obtain the expression for @, @ and R

using separation of Variables.

(2 x 10 = 20 marks)

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