Instructions for Formating Your Assignments

Dear Student,

We hope you are familiar with the system of evaluation to be followed for the Bachelor’s Degree Programme. At this stage you may probably like to re-read the section on assignments in the Programme Guide for Elective Courses that we sent you after your enrolment. A weightage of 30 per cent, as you are aware, has been earmarked for continuous evaluation which would consist of one tutor-marked assignment for this course.

Instructions for Formating Your Assignments

Before attempting the assignment please read the following instructions carefully.

1)On top of the first page of your TMA answer sheet, please write the details exactly in the following format:

ENROLMENT NO.:……………………………………………

NAME :……………………………………………

ADDRESS :……………………………………………

……………………………………………

COURSE CODE: …………………………….

COURSE TITLE : …………………………….

ASSIGNMENT NO. ………………………….…

STUDY CENTRE: ………………………..…. DATE :……….…………………………………

PLEASE FOLLOW THE ABOVE FORMAT STRICTLY TO FACILITATE EVALUATION AND TO AVOID DELAY.

2)Use only foolscap size writing paper (but not of very thin variety) for writing your answers.

3)Leave 4 cm margin on the left, top and bottom of your answer sheet.

4)Your answers should be precise.

5)While solving problems, clearly indicate the question number along with the part being solved. Be precise. Write units at each step of your calculations as done in the text because marks will be deducted for such mistakes. Take care of significant digits in your work. Recheck your work before submitting it.

6)This assignment will remain valid from July 1, 2010 to March 31, 2011. However, you are advised to submit it within 12 weeks of receiving this booklet to accomplish its purpose as a teaching-tool.

Answer sheets received after the due date shall not be accepted.

We strongly feel that you should retain a copy of your assignment response to avoid any unforeseen situation and append, if possible, a photocopy of this booklet with your response.

We wish you good luck.

Tutor Marked Assignment

PHE-14: Mathematical Methods in Physics-III

Course Code: PHE-14

Assignment Code: PHE-14/TMA/2010

Max. Marks: 100

Note:Attempt all questions. Symbols have their usual meanings. The marks for each question are indicated against it.

1.a)Determine the eigenvalues and eigenvectors of the following matrix:

(10)

b)Express s = j gjs in its expanded form. (5)

c) LetG be the set of all 2×2 matrices with non-vanishing determinants. Show that Gis a group under matrixmultiplication. (10)

2.a)Locate the singularities and the pole of the following function and name them:

m ≠ 0(5)

b)Determine the poles and residues of the function:

(i)(5)

(ii)(5)

c)Show that (10)

a) Obtain the Fourier transform of the function

(10)

b)Determine the Laplace transform of the function e2t sinh 4t.(5)

c)Solve the initial value problem

4y  + 2y = 0 y (0) = 2, y = 0

using the method of Laplace transforms.(10)

4.a)Show that

Pl(x) = ( 1)l + 1 Pl (x)(5)

b)Expand the function f (x) = x – x3as a linear combination of Legendre polynomials.(5)

c)Show that

(i)J3/2 (x) = x1J1/2 (x) J1/2 (x)(5)

(ii) (5)

d)Using the generating function for Laguerre polynomials derive the recurrence relation

(n + 1) Ln + 1 (x)  (2n + 1x) Ln (x) + nLn 1 (x) = 0(5)

******

TENTATIVE SCHEDULE FOR PHYSICS PROGRAMMES BROADCAST ON GYAN DARSHAN 1

July 2010 – May 2011

This is the tentative schedule for Physics students. The students may approach their cable operator to avail this facility.

Date/Day / Time Slot / Course Code / Video Programme Title
July 2010
11-07-10
(Sun) / 9.00-9.30 pm / PHE-13 / Introduction to Crystal Structure
13-07-10
(Tues) / 9.00-9.30 pm / PHE-01 / Exploring Physics: Experiment with Low cost Materials
18-07-10
(Sun) / 9.00-9.30 pm / CPLT- 04 / Physics Lab Technician: Know your job
25-07-10
(Sun) / 9.00-9.30 pm / CPLT- 04 / Bhautiki Prayogshala Technician: Aapka Kaam
27-07-10
(Tues) / 8.15-8.40 am / PHE-01 / The Bicycle: A Vehicle for Teaching Physics
August 2010
10-08-10
(Tues) / 9.00-9.30 pm / PHE- 01 / The Physics of Dance
17-08-10
(Tues) / 9.00-9.30 pm / PHE- 01 / Rotating Frames of Reference
24-08-10
(Tues) / 8.15-8.40 am / PHE -02 / Simple Harmonic Motion
24-08-10
(Tues) / 9.00-9.30 pm / PHE- 02 / Dolan
September 2010
07-09-10
(Tues) / 8.15-8.40 am / PHE- 15 / Glimpses of the Cosmos
12-09-10
(Sun) / 8.15-8.40 am / PHE -02 / Coupled Oscillations
14-09-10
(Tues) / 8.15-9.00 am / PHE- 06 / First Law of Thermodynamics
October 2010
10-10-10
(Sun) / 9.00–9.30 pm / PHE-06 / Applications of the First Law of Thermodynamics
17-10-10
(Sun) / 9.00–9.30 pm / PHE-01 / Ghurni Nirdesh Tantra (Hindi)
November 2010
14-11-10
(Sun) / 9.00–9.30 pm / PHE-01 / The Physics of Dance
December 2010
19-12-10
(Sun) / 9.00–9.30 pm / PHE-06 / Thermodynamics in Action
21-12-10
(Tues) / 8.15–9.00 am / PHE-06 / Ushmagatiki ke Anuprayog
28-12-10
(Tues) / 8.15–9.00 am / PHE-01 / The Bicycle: A Vehicle for Teaching Physics
Date/Day / Time Slot / Course Code / Video Programme Title
January 2011
09-01-11
(Sun) / 9.00–9.30 pm / PHE-15 / Glimpses of the Cosmos
16-01-11
(Sun) / 9.00–9.30 pm / PHE-02 / Simple Harmonic Motion
23-01-11
(Sun) / 9.00–9.30 pm / PHE-15 / Exploring the Night Sky
25-01-11
(Tues) / 8.15–9.00 am / PHE-02 / Dolan
February 2011
13-02-11
(Sun) / 9.00–9.30 pm / PHE-15 / On the Trail of Stars
15-02-11
(Tues) / 8.15–9.00 am / PHE-06 / Second Law of Thermodynamics
22-02-11
(Tues) / 8.15–9.00 am / PHE-02 / Coupled Oscillations
March 2011
08-03-11
(Tues) / 8.15–9.00 am / PHE- 13 / Introduction to Crystal Structure
15-03-11
(Tues) / 8.15–9.00 am / PHE- 15 / Astronomical Coordinates
20-03-11
(Sun) / 9.00–9.30 pm / PHE- 10 / Operational Amplifier
22-03-11
(Tues) / 8.15–9.00 am / PHE- 06 / Carnot Cycle
April 2011
10-04-11
(Sun) / 9-00-9.30 pm / PHE- 15 / Astronomical Measurements (Measurement of Distance and Brightness)
17-04-11
(Sun) / 9-00-9.30 pm / PHE- 01 / Rotating Frames of Reference
May 2011
15-05-11
(Sun) / 9.00-9.30 pm / PHE -15 / Astronomical Measurements (Measurement of Mass, Temperature and Time)
17-05-11
(Tues) / 9-00-9.30 pm / PHE -10 / Logic Gates

TENTATIVE SCHEDULE FOR EDUSAT/TELECONFERENCING SESSIONS
AT STUDY CENTRES FOR PHYSICS STUDENTS

JULY 2010 TO NOVEMBER 2010

Time: 5.00 to 5.45 pm and 6.00 to 6.45 pm

Month/Date* / Course
July 2010
23-07-10 / PHE-06
August 2010
27-08-10 / PHE-02
September 2010
24-09-10 / PHE-10
October 2010
22-10-10 / PHE-01
November 2010
26-11-10 / PHE-05

* Fourth Friday of every month

TENTATIVE SCHEDULE FOR PHYSICS STUDENTS ON DD1 (National Network)
JULY 2010 TO MAY 2011

Time: 6.00 AM to 6.30 AM

Month/Date* / Course / Topic
July 2010
12-07-10 / PHE-10 / Operational Amplifier
August 2010
09-08-10 / PHE-02 / Coupled Oscillations
September 2010
13-09-10 / PHE-01 / Rotating Frames of Reference
October 2010
11-10-10 / PHE-06 / Thermodynamics in Action
November 2010
08-11-10 / PHE-15 / Exploring the Night Sky
January 2011
10-01-11 / PHE-13 / Introduction to Crystal Structure
February 2011
07-02-11 / PHE-01 / Ghurni Nirdesh Tantra (Hindi)
March 2011
07-03-11 / PHE-15 / Astronomical Coordinates
April 2011
11-04-11 / PHE-06 / Ushmagatiki ke Anuprayog
May 2011
09-05-11 / PHE-15 / On the Trail of Stars

*Second Monday of every month