M.Sc. DEGREE EXAMINATION, APRIL/MAY 2018
Second Semester
Physics
NUMERICAL TECHNIQUES AND PROGRAMMING
2 20722 A
Time 3 Hours Max. Marks 70
SECTION — A
Answer any FIVE of the following. 6 30 Marks)
1. Explain the method false position to evaluate the roots of an equation.
2. Obtain the Lagrange's interpolation formula.
3. Obtain Simpson's 3/8 rule for numerical integration.
4. Explain Euler's method for error estimation.
5. Write a short note on constants, variables and keywords.
6. Explain GOTO, WHILE, DO and FOR loop statements.
7. Explain the declaring and initializing string variables.
8. Write a program to perform the calculation of standard deviation.
SECTION — B
Answer ALL questions. 10 40 Marks)
9. Using Newton Raphson-method, find the root of the equation x3 3x 0
and correct to three decimal places.
Or
Using Newton's backward interpolation formula, find the value of y at
x 370.
x 100 150 200 250 300 350
y 10.63 13.03 15.04 16.81 18.42 19.90

10. Using Jacobi iteration method, solve the system of equations
8x 3y 2z 20 6x 3y-12z- 35; 4x-11y- 3.
Or
Explain Ranga-Kutta method of first order and second order and using this
method find y=0.1 and y-0.2 given y x2 .
11. Give a brief account of arithmetic, and assignment instructions in
language. Write a program to enter a set of integer numbers and to
arrange in ascending order.
Or
Discuss decision, loop and case control statements in Explain global, local
and static variables in
12. Explain user defined functions and discuss the accessing a variable through
its pointer.
Or
Write a program to evaluate the multiplication of a 2 × 2 matrix with flow
chart.
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