What did the Stern-Gerlach experiment establish? Explain your answer. Would the experiment succeed if it were performed with a beam of free electrons?
Discuss the origin of line spectrum and continuous spectrum of X-rays. What is Duance and Hunt limit for X-ray spectrum? Can you obtain the value of 'h' (Planck's const.) precisely from a knowledge of the Duane and Hunt limit. An X-ray tube is operated it 20\text{ kV}. Determine the wavelength limit of continuous X-rays.
State and explain Pauli's exclusion principle. Estimate the total number of electron states in a many electron atom for a given principal quantum number n.
The series limit due Balmer series for hydrogen is given by 3.65 \times 10^{-5}\text{ cm.} and an element is found to give k-series wavelength down to 10 \times 10^{-10}\text{ cm,} Find the atomic number of the element.
In observing the Raman spectrum of a sample, using 2537\text{ \AA} as the exciting line, one gets a Stokes line at 2683\text{ \AA}. Deduce the Raman shift in \text{cm}^{-1} units. What information does it give? Compute the wavelength, in \text{\AA} units, for the corresponding Stokes and anti-Stokes tines if the exciting line is 5461\text{ \AA}.
Write a brief note (about 200\text{ words}) on X-ray absorption edges.
Give an account of Pauli's exclusion principle. Show how it leads to the building up of the Periodic Table of elements. The description must particularly emphasize shell structure and the placing of alkali metals, halogens and inert gases in the Periodic Table.