Calicut University 2006 M.Sc Physics phys202- NUMERICAL TECHNIQUES AND COMPUTER PROGRAMMING - Question Paper
SECOND SEMESTER M.Sc. DEGREE EXAMINATION, AUGUST 2006
Physics
phys. 202- NUMERICAL TECHNIQUES AND COMPUTER PROGRAMMING
(2003 admissions)
C 17062 (Pages 2) . Name......................................
Reg. No..................................SECOND SEMESTER M.Sc. DEGREE EXAMINATION, AUGUST 2006
Physics
Phys. 202NUMERICAL TECHNIQUES AND COMPUTER PROGRAMMING
(2003 Admissions)
Time : Three Hours Maximum : 80 Marks
Section A
Answer any five questions.
Each question carries 4 marks.
1 ../Given loge (1 + x)/(l - x) = 2(x + x3/3 + x6/5 + ...) calculate loge(1.2) correct to four decimal places.
2. ./Describe the Newton-Raphson method. Find a root of x3- 2x - 5 = 0, correct to 3 decimal places.
3.yWrite a polynomial passing through the set of points : jr x ... 2 4 6 8 10 12 14 q
y ... 23 93 259 569 1071 1813 2843
4yf)erive the trapezoidal rule of integration. What is 'its geometrical significance ?
6/What is a DO loop, ? Explain any 3 rules to be-followed while formulating DO loops.
6. What are format statements. What is the type of format and minimum specification required to print out the following numbers : - 87532, - 32.33 and 0.91275 x 10-31.
7 Explain, with an example, the working of the Switch statement.
8. Write a C program to calculate the distance between two points P (xj, yx) and Q(x2, y2). Use the pow function.
(5 x 4 = 20 marks)Section B
Answer all questions.
Each question carries 20 marks.
9. What are function sub-programs. (5 marks)
The instantaneous amplitude x of a harmonic oscillator is given by x = A sin ( t) where A is the amplitude (= 10 cm), k is the force constant ( = 2000 N/m) and m is the mass (= 2 kg). Write a FORTRAN program that displays the instantaneous displacement from t = 0 to 60 s. The instantaneous should be calculated in a function subprogram.
(15 marks)Or
10. What is a sub-routine subprogram in FORTRAN ? . (5 marks)
A useful algorithm for rounding a real number to n decimal places is :
Step 1: Multiply the number by 10".
Step 2 : Add 0.5
Turn over
C 17062
Step 3 Delete the fractional part of the result.
2
Step 4 : Divide by 10".
Write a subroutine subprogram that accepts the number, the number of decimal places n and returns the rounded number to the main program.
(15 marks)
11. Explain with suitable examples, any four decision making statements in C.
Or
12. Explain how you would define 2-D arrays in C. (5 marks)
A and B are two 2-D arrays with 2 rows and 3 columns. Initialise A with the data {16,18, 23, 54,
91,11} and B with {24,52,77,16,19,59}. Write a C program that adds the equivalent elements in the two arrays.
(2 x 20 = 40 marks)
Section C
Answer any two questions.
Each question carries 10 marks.
13. J Integrate dxlx between the limits (1, 2) using the Simpsons 1/3 rule. * <\
14../Find by the iteration method, a root of the equation x3 + 2x2 + x == 1, between 0.4 and 0.5, correct * to 2 decimal places.
15. Newtons law of cooling states that when an object with an initial temperature TINI is placed in a medium with temperature TMED, it will reach a temperature TFIN in t minutes, according to the formula.
TFIN = (TINI - TMEDJe-* + TMED
Write a FORTRAN program to calculate TFIN after 20 m, if TINI = 150 C, TMED = 60 C and k = .0367 Cs-1. The program should display the final result as The Final temperature is xxxx.xx.
16. Write a function named whole ( ) that returns the integer part of any number passed to the function. This function should be called from main (). Have main () use print to display the result.
(2 x 10 = 20 marks)
|
Attachment: |
| Earning: Approval pending. |
