## Tata Institute of Fundamental Research

### Syllabus

In general, the syllabus for the Admissions Tests in Physics (Written and Interview) is typically a course of studies in Physics as the main subject in the Undergraduate and Master’s levels in an Indian University. The questions in the written test (multiple choice types) and the interviews are distributed over the following areas: Classical Mechanics; Mathematics relevant to Physics; Electricity and Magnetism; Quantum Mechanics; Heat, Thermodynamics and Statistical Physics; General Physics; Modern Physics; Electronics and Experimental Physics.

SAMPLE QUESTIONS

(NOTE: Wrong answers will get you negative marks)

1. The function f(z) = z2 + 1 is integrated over a circle of unit radius in the complex z plane. What is the value of the integral?

[a] 1                                                     [b] I                                         [c] 0

1. Charged particles are beamed into a region having a uniform electric field of 103 Newton/Coulomb and a uniform magnetic field of 10-2 Newton/(ampere meter).        The electric and magnetic fields are at right angles to each other and the beam of               particles is directed perpendicular to both of them, so that the electrical and magnetic forces on an ion oppose each other. The speed of those ions that are     unaffected through this region is:

[a] 104 m/s                                           [b] 105 m /s                              [c] 106 m/s

1. The electron in a free Hydrogen atom is initially in the state with quantum numbers n = 3 and 1 = 2. It makes an electric dipole transition to a lower energy             state. Which of the given states could it finally be in?

[a] n = 3, 1 = 0                         [b] n = 2, 1 = 2                         [c] n = 2, 1 = 1

1. N particles are distributed amongst three levels having energies 0, kT and 2kT. If the total equilibrium energy of the system is approximately 425kT, what is the value of N?

[a] 1001                       [b] 335             [c] 425             [d] 390             [e] 181

Tata Institute of Fundamental Research (TIFR)

The Tata Institute of Fundamental Research is India’s premier institution for advanced research in fundamental sciences. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects. With its distinguished faculty, world class facilities and stimulating research environment, it is an ideal place for aspiring scientists to initiate their career.

The Graduate Programme at TIFR is classified into the following Subjects – Mathematics, Physics, Chemistry, Biology, Computer & Systems Sciences (including Communications and Applied Probability) and Science Education. It is conducted at the Mumbai campus and various National Centres of TIFR.

TIFR Schedule

TIFR is conducted once in a year, i.e., in the months of December. The notifications announcing the TIFR published in the months of October in the weekly journal of nation-wide circulation (Employment News).

Eligibility Physics

For Ph.D.: M.Sc.(Physics)/B.Tech. (Engineering Physics)

For I-Ph.D.: B.Sc./B.E./M.E./M.Tech./B.Tech./B.Chem. or equivalent, M.Sc./B.Tech.,
(not in Physics / Engingeering Physics).

For Ph.D. Program in TCIS: M.Sc. in Physics, Chemistry or Biology; B.Tech. (Engg. Physics).

For Ph.D. Program in ICTS: M.Sc. in Physics, Chemistry, Biology or Mathematics; B.Tech. (Engg. Physics).

Scheme of TIFR Test

This test consists of three parts: Section A, Section B and Section C. You must answer questions according to the programme you are applying for.

 Candidate applying for Must answer Should not attempt Integrated M.Sc.-Ph.D. Section A + Section B Section C Ph.D. Section A + Section C Section B

Section A has 20 questions: 1-10 are multiple choice; 11-20 are numerical

Section B has 15 questions: 21-30 are multiple choice; 31-35 are symbolic

Section C has 15 questions: 36-45 are multiple choice; 45-50 are symbolic