LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – APRIL 2012

PH 3812 – NUMERICAL METHODS AND C PROGRAMMING

 

 

Date : 26-04-2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

PART – A

Answer ALL the questions                                                                                                    (10 X 2 = 20)

1. List any two salient features of C Language.
2. Discuss the various arithmetic operators available in C.
3. What are Input and Output functions?
4. Reduce y=ae^bx to linear form.
5. Mention any two uses of Pointers.
6. Write down the first approximation in Regula-falsi method?
7. Given that, f(0)=8,f(1)=68 and f(5)=123,construct a divided difference table. Using the table determine the value of f(2).
8. Evaluate with h=0.25 using trapezoidal rule.
9. Write a C program to sum the series 1+2+3+…+100.
10. How are arrays declared in C?

PART – B

Answer any FOUR questions                                                                                                            (4 X 7.5 =30)

11. Write a short note on data storage classes.
12. Explain the use of switch case statement in C.
13. Find the positive root of x³-5x+3=0 by using Newton’s method.
14. Solve the linear equations by Gauss elimination method.

2x₁+4x₂+2x₃=15 ;        2x₁+x₂-2x₃=-5;             4x₁+x₂-2x₃=0

15. The temperature T (in ^oc) and lengths l(in nm) of heated rod is given. If l=a_o+a₁T, Find the best values for a_o and a₁.

T	20	30	40	50	60	70
l	800.3	800.4	800.6	800.7	800.9	801

 

PART – C

Answer any FOUR questions                                                                                                            (4 X 12.5 =50)

16. Develop a ‘C’ program to accept two 4×4 matrices from the keyboard and to display the sum and difference matrices in matrix form.
17. Develop a ‘C’ program to copy the contents of a file into another.
18. Write a C program to implement a numerical integration using Simpson’s 3/5^th rule.
19. Apply fourth order Runge-Kutta method to find the approximate value of y(0.2) from
    y’=y-x, y(0)=2 taking h=0.1.
20. The values of tan x for x is given, find
21. a) tan(0.12) b) tan(0.4) c) tan (0.5)

x	0.1	0.15	0.2	0.25	0.3
Y=tan x	0.1003	0.1511	0.2027	0.2553	0.3093

 

 

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