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June 16th, 2014, 03:20 PM
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TIFR GS Entrance Exam Physics Sample Questions

Please provide me sample question paper for Physics subject in Graduate School Admissions Examination of Tata Institute of Fundamental Research ?

Here I am giving you sample question paper for Physics subject in Graduate School Admissions Examination of Tata Institute of Fundamental Research

A1. Two different 2 × 2 matrices A and B are found to have the same eigenvalues. It is
then correct to state that A = SBS−1 where S can be a
(a) traceless 2 × 2 matrix (b) Hermitian 2 × 2 matrix
(c) unitary 2 × 2 matrix (d) arbitrary 2 × 2 matrix

A3. Two masses M1 and M2 (M1 < M2) are suspended from a perfectly rigid horizontal
support by a system of three taut massless wires W1, W2 and W3, as shown in the
figure. All the three wires have identical cross-sections and elastic properties and are
known to be very strong.

If the mass M2 is increased gradually, but without limit, we should expect the wires to
break in the following order:
(a) first W2, then W1 (b) first W1, then W2
(c) first W2, then W3 (d) first W3

A4. A high-velocity missile, travelling in a horizontal line with a kinetic energy of 3.0 Giga-
Joules (GJ), explodes in flight and breaks into two pieces A and B of equal mass. One
of these pieces (A) flies off in a straight line perpendicular to the original direction in
which the missile was moving and its kinetic energy is found to be 2.0 GJ. If gravity
can be neglected for such high-velocity projectiles, it follows that the other piece (B)
flew off in a direction at an angle with the original direction of
(a) 30◦ (b) 33◦24′ (c) 45◦ (d) 60◦

A6. A dynamical system with two degrees of freedom, has generalised coordinates q1 and
q2, and kinetic energy
T = λ ˙ q1 ˙ q2
If the potential energy is V (q1, q2) = 0, the correct form of the Hamiltonian for this
system is
(a) p1p2/λ (b) λ ˙ q1 ˙ q2
(c) (p1 ˙ q1 + p2 ˙ q2)/2 (d) (p1q2 + p2q1)/2




Attached Files
File Type: pdf TIFR GS physics paper.pdf (319.6 KB, 106 views)

Last edited by Neelurk; February 27th, 2020 at 08:19 AM.
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