N A L A N D A O P E N U N I V E R S I T Y
M.Sc. Physics, Part-I
PAPER-I
(Mathematical Physics)
Annual Examination, 2017
Time 3 Hours. Full Marks 80
Answer any Five Questions.
All questions carry equal marks.
1. Find the equation of motion for a charged particle in an electromagnetic field using the
Hamiltonian of the particle.
2. Show that row-equivalent matrices have the same rank,
the row-space and the column-space of a matrix a have same dimension equal to rank A.
3. Write notes on orthonormality of column and row vectors. Prove that eigenvectors of a
symmetric matrix corresponding to different eigenvalues are orthogonal.
4. Starting with the series expansion, derive Rodrigues formula for Legendre polynomials.
5. Derive integral representation of the Bessel's function of first kind of order n.
6. Show that the integral representation of Laguerre polynomials