OCTOBER 2017 Sub. Code: 4012
M.Sc. MEDICAL PHYSICS EXAMS
FIRST YEAR
PAPER II RADIOLOGICAL MATHEMATICS
Q.P. Code 284012
Time Three hours Maximum 100 Marks
I. Elaborate on: x 20 40)
1. Derive Newton-Raphson formula to find the actual root of an equation 0.
Using Newton-Raphson iteration method show that the root of the equation
X SinX CosX 0 is 2.7984. The initial value of X is 3.14.
2. Discuss the assumptions of Karl-Pearson correlation method.
Find the Karl-Pearson correlation coefficient for the following data:
X 40 45 48 50 55 50 54 58
Y 120 125 130 125 140 146 154 160
II. Write notes on: (10 x 6 60)
1. Define Accuracy and Precision and give an example for each. Find the sum of
0.1874x104 and 27.8x10-1. Obtain its round off and truncating approximation in 4
digits mantissa.
2. Calculate the decay constant for cobalt-60 (T1/2=5.26yrs) in units of month-1.
3. Solve the differential equation dy/dx -xy for using Picard's method.
Perform three iterations.
4. Discuss Binomial distribution.
5. Use Euler's method with h 0.5 to solve initial value problem dy/dx yx2 1.1y
for x 0 to 1 with =1.
6. Solve by eight intervals using Simpson's 1/3 rule.
7. Discuss Systematic random sampling.
8. The values of capacitances in of ten capacitors selected at random from a large
batch of similar capacitors are: 34.3, 25.0, 30.4, 34.6, 29.6, 28.7, 33.4, 32.7, 29.0
and 31.3. Determine the standard deviation from the mean for these capacitors.
9. State the properties and applications of distribution.
10. Signal-to-noise ratio.