Loyola College M.Sc. Physics Nov 2010 Relativity And Quantum Mechanics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2010

    PH 3812  – NUMERICAL METHODS AND C PROGRAMMING

 

 

 

Date : 03-11-10                 Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL questions.                                                                                            (10 x 2 = 20)

  1. Dsitingush between Trapezoidal and Simpson’s rules of integration.
  2. Reduce y = aebx to linear form.
  3. Give the use of the comma operator in C.
  4. Write a simple C program to find whether a given number is even or odd.
  5. List the logical operators in C.
  6. Explain operator precedence in C language.
  7. With an example explain “array initialization”.
  8. Explain the use of break statement in C with an example.
  9. Mention any two advantages of pointers.
  10. Give the general format of a union.

 

PART – B

Answer any FOUR questions.                                                                                             (4 x 7.5 = 30)

  1. Evaluate using Lagrange’s interpolation formula the value of f (9) from the following table:
X 2 5 8 11
f(x) 94.8 87.9 81.3 75.1
  1. Evaluate the integral using Trapezoidal rule with h=0.05.
  2. Solve by Modified Euler’s method, dy/dx = 1 – y, for x=0.2, given y(0)=0, h=0.1.
  3. Solve the following simultaneous equations by Gauss-Jordan method:

2x  +  3y  –    z  =  5

4x  +  4y  –  3z  =  3

2x  –   3y +  2z  =  2

  1. Use the method of least squares to fit a straight line to the following data:
X 0 1 2 3 4
Y 1 1.8 3.3 4.5 6.3

Hence estimate the value of Y when X=2.5.

 

PART – C

Answer any FOUR questions.                                                                                             (4 x 12.5 = 50)

  1. Develop a program to compute a missing value using Lagrange’s Interpolation.
  2. Write a program in C to solve a differential equation using the fourth order Runge-Kutta method.
  3. Develop C programs to
    1. find the greatest of three numbers             (5)
    2. to find whether a number is Armstrong (7)
  4. Design a C program to multiply two 3 x 3 matrices.
  5. Using switch…case design a program in C to determine the overall grade obtained by a student

based on scores in 5 subjects.

 

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