M.Sc. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2017.
Third Semester
Physics
Paper III NUMERICAL TECHNIQUES AND C PROGRAMMING

2 20733
Time 3 Hours Max. Marks 100
SECTION — A
Answer any FIVE questions. 8 40 Marks)
Each question carries 8 marks.
1. Explain Bi-section method to obtain the root of an algebraic equation.
2. Explain Inverse interpolation.
3. Explain the Gauss elimination method.
4. Briefly explain the modified Euler's method.
5. Explain assignment and conditional operators in C.
6. Explain decision control and loop control in
7. Write a note on function calls and function declaration.
8. Write a program for matrix multiplication.
SECTION — B
Answer FOUR questions. 15 60 Marks)
Each question carries 15 marks.
9. Explain method of false position of obtaining roots of an algebraic equations
and finding the real root of equation f x3 2x 5 0 correct to three
decimal places.
Or
Explain finite differences and obtain Lagrange's Interpolation formula.

10. Explain matrix inversion method for solving simultaneous equations. Solve
the following equations using this method.
Or
Explain Cubic spline method for differentiation and obtain Simpson's 1/3 rule
for numerical integration.
11. Explain key words, identifiers and data types in program. Discuss
different logical operators in
Or
Explain the procedure in evaluating the arithmetic operators and explain IF,
IF-ELSE, and GOTO statements with examples.
12. Write a program that uses a function pointer as a function argument. Explain
how structure pointers are used as function parameters.
Or
Write a program to find the average of 10 numbers along with flow chart.
Write program for calculating the standard deviation.
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