univ.tifr.res.in Graduate School Admissions Exam Physics-Y Paper 2017 : Tata Institute of Fundamental Research

Name of the Centre :Tata Institute of Fundamental Research
Document type : Previous Question Papers
Name Of The Exam : GS Graduate School Admissions Exam
Name Of The Subject : Physics-Y

Website : http://univ.tifr.res.in/admissions/
Download Previous Question Papers :
GS 2017 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2017PHY_Y.pdf
GS 2016 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2016PHY_Y.pdf
GS 2015 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2015PHY_Y.pdf
GS 2014 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2014PHY_Y.pdf
GS 2013 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2013PHY_Y.pdf
GS 2012 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2012PHY_Y.pdf
GS 2011 Physics-Y : https://www.pdfquestion.in/uploads/13109-GS2011Phy-Y.pdf

GS 2017 Physics-Y Question Paper :

Instruction for Candidate :
** Please fill in details about name, reference code etc. on the question paper and answer sheet. The Answer Sheet is machine-readable.
** Use only black/blue ball point pen to fill in the answer sheet.

Related : Tata Institute of Fundamental Research GS Chemistry – X Question Paper 2017 : www.pdfquestion.in/13104.html

** This test consists of three parts, Section A, Section B and Section C.
** You must answer questions according to the program you are applying for Section A contains 25 questions, Section B and Section C contain 15 questions each.

** Note that the test contains multiple-choice questions as well as numerical-type questions (36-40 in section B and 51-55 in section C) where you have to fill in numbers in the answer-sheet.

** Indicate your ANSWER ON THE ANSWER SHEET by filling in the appropriate circle or circles completely for each question.
** For multiple-choice questions, only ONE of the options given at the end of each question is correct.

** Do not mark more than one circle for any multiple choice question this will be treated as a wrong answer.
** For number-type questions, the answers should be indicated on the answer sheet by filling in circles for appropriate numbers.

** All three circles for each answer should be filled to get the credit.
** Detailed instructions are given inside the question paper.

** We advise you to first mark the correct answers on the QUESTION PAPER and then to TRANSFER these to the ANSWER SHEET only when you are sure of your choice.
** Rough work may be done on blank pages of the question paper. If needed, you may ask for extra rough sheets from an Invigilator.
** Use of calculators is permitted. Calculator which plots graphs is NOT allowed.

** Multiple-use devices such as cell phones, smartphones etc., CANNOT be used for this purpose.
** Do NOT ask for clarifications from the invigilators regarding the questions.
** They have been instructed not to respond to any such inquiries from candidates.

** In case a correction/clarification is deemed necessary, the invigilator(s) will announce it publicly.
** List of useful physical constants is given on the next page.
** Make sure to use only these values while answering the questions

Duration : Three hours (3 hours)

1. The separation between neighboring absorption lines in a pure rotational spectrum of the hydrogen bromide (HBr) molecule is meV. If this molecule is considered as a rigid rotor and the atomic mass number of Br is 80, the corresponding absorption line separation in deuterium bromide (DBr) molecule, in units of meV, would be
(a) 2.234
(b) 1.115
(c) 4.461
(d) 1.128

2. Consider a 2-D square lattice. The ratio of the kinetic energy of a free electron at a corner of the first Brillouin zone (Ec) to that of an electron at the midpoint of a side face of the same zone Em is EC/EM
(a) 2
(b) root2
(c) 1
(d) 1/2

3. 16. A space telescope in orbit around the Earth discovers a new planet, which is observed to move around the Sun by an angle of 4.72 milliradians in a year. Assuming a circular orbit, estimate the distance, in A.U., of the planet from the Sun.

4. 18. A beam of plane microwaves of wavelength 12 cm strikes the surface of a dielectric at 12cm If the refractive index of the dielectric is 4/3, what will be the wavelength, in nits of mm, of the microwaves inside the dielectric?

5. A system of particles occupying single-particle levels and obeying Maxwell-Boltzmann statistics is in thermal equilibrium with a heat reservoir at temperature T. If the population distribution in the non-degenerate energy levels is as shown in the table below, what would be the temperature of the system in degree Kelvin?

6. A thermally isolated container stores 27.04 gas at N2 at one atmospheric pressure. Suddenly the pressure of the gas is increased to two atmospheric pressures. Assuming N2 to behave as an ideal gas, estimate the change in temperature of the gas, in Celsius degrees (C).

7. A signal is to be sent from a coaxial cable with impedance 40 O into a second coaxial cable with impedance 60 O. We can prevent reflection at the joint between the cables, by adding an impedance in parallel to the second cable. What should be the value, in units of Ohms (O), of that impedance?

8. An AC voltage source has an internal resistance of 50 O and is specified to deliver an rms voltage of 50 V to a matched load. If you connect this AC source to a cathoderay oscilloscope with 1 MO input setting, what will be the peak-to-peak voltage you observe?

9. The energy of an electron in the ground state of the -79 atom is 10.Considering the Bohr model of the atom, what would be 10 times the first ionization potential for a 10 ion, in units of eV?

10. A quantum mechanical system consists of a one-dimensional infinite box, as indicated in the figures below. 3 (three) identical non-interacting spin-½ particles, are first placed in the box, and the ground state energy of the system is found to be E0= 18 eV. If 7 (seven) such identical particles are placed in the box, what will be the ground state energy, in units of eV?