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Section B (Paragraph/Problem Type)

Answer all questions in a paragraph of about half a page to one page.
Each correct answer carries a maximum of 5 marks.

X-rays of wavelength 0.24 mm are Compton-scattered and the scattered beam is observed at an
angle 60 degree relative to the incident beam. Determine :

(a) The wavelength of the scattered X-rays ; and
(b) Energy of the scattered X-rays.
Discuss the basic properties of atoms.
Calculate the de Broglie wavelength of an electron having a kinetic energy 1 eV.

An electron moves in the x direction with a speed of 3.6 x 10° m/s. We can measure its speed to a
precision of 1 %. With what precision can we simultaneously measure its position ?

Determine the average value of the position of a particle trapped in a one dimensional box of
length L.

What are the quantum numbers associated with an atomic electron and what are their possible
values ?

Explain normal and anomalous Zeeman effects.
(Ceiling 30)
Section C (Essay Type)

Essays.
Answer in about two pages, any one question, correct answer carries 10 marks.

Discuss the Rutherford nuclear atom model.
Setup the time-independent Schrédinger equation in one dimension.

(1 x 10 = 10 marks)

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