MSc 1st Semester Physics (Mathematical Physics-1) Model Paper 2024 Pdf

MSc 1st Semester Physics Question Papers pdf download : Here you can download Msc First Semester Model Paper 2023 MSc 1st Semester Physics (Mathematical Physics) Model Paper 2024 Pdf m.sc 1st semester physics question paper 2024 pdf download m.sc 1st sem previous year question paper. Previous year msc first semester question paper msc first sem question paper pdf download.

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Roll No……..

B010703T
M.Sc. (First Semester)
(NEP) EXAMINATION, 2023-24
PHYSICS
(Electromagnetic Theory)

Time : 2 Hours ]                                                                                                                 [ Maximum Marks 75

Note : attempt questions from all sections as directed.

Instruction : The candidates are required to answer only in serial order if there are many parts of equation answer them in continuation.

Section – A
(Short Answer Type Questions)

 

Note : All questions are compulsory each questions carries 5 marks

1 (A) Check whether 1/z analytic or not where z is a complex variable.

  (B) Determine the pole and residue at the pole of a function f (z) = z/z-1

  (C) Write down Rodrigues formula for legendre’s polynomial and plot Po(x) and P1(x)

 (D) Prove :

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(E) What is Cayley-Hamilton theorem ? Verify it for the matrix :

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(F) Prove that the matrix :

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Is unitary.

(G) Ai and Bj are Contravariant vector. Show that AiBj is a Contravariant vector of rank two.

(H) Show that Kronecker delta § is a second order mixed tensor .

(I) From a bucket containing two apples and three mangoes, two fruits are selected find probability distribution of a number apples into fruits drown.

Section – B
(Long Answer Type Questions)

 

Note: Attempt anyone questions. Questions carries 15 marks.

2. By contour integration evaluate :

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3. Find Laurent series expression of :

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4. Express the polynomial :

f(x) = 4x³ – 2x² – 3x + 8

in term of legendre polynomials.

5. Prove the following :

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Section – C
(Long Answer Type Questions)

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Note: Attempt anyone questions. Questions carries 15 marks.

6. Determine the eigen values and eigen vectors of the matrix :

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and check whether the vectors are orthogonal or not.

7. Find the inverse of the following Matrix by elementary row transformation :

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8. Joint probability density function of two random variables X and Y is :

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Find the probability density function of Z = X – Y

9. Find metric tensor gij in spherical polar coordinates also prove for an arbitrary vector A,

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MSc 1st Semester Classical Mechanics Question Paper 2024 : Click Here 

 

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