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### GATE 2017-2018 :: GATE Physics

1. f(x) is a symmetric periodic function of x i.e. f(x) = f(-x). Then, in general, the Fourier series of the function f(x) will be of the form
2.  A. . B. . C. . D. .

3. In the most general case, which one of the following quantities is NOT a second order tensor?
4.  A. Stress B. Strain C. Moment of inertia D. Pressure

5. An electron is moving with a velocity of 0.85c in the same direction as that of a moving photon. The relative velocity of the electron with respect to photon is
6.  A. c B. -c C. 0.15c D. -0.15c

7. If Planck's constant were zero, then the total energy contained in a box filled with radiation of all frequencies at temperature T would be ( k is the Boltzmann constant and T is nonzero)
8.  A. Zero B. Infinite C. 3/2 k T D. k T

9. Across a first order phase transition, the free energy is
10.  A. proportional to the temperature B. a discontinuous function of the temperature C. a continuous function of the temperature but its first derivative is discontinuous D. such that the first derivative with respect to temperature is continuous

11. Two gases separated by an impermeable but movable partition are allowed to freely exchange energy. At equilibrium, the two sides will have the same
12.  A. pressure and temperature B. volume and temperature C. pressure and volume D. volume and energy

13. The entropy function of a system is given by S(E) = a E(E0 - E) where a and E0 are positive constants. The temperature of the system is
14.  A. negative for some energies B. increases monotonically with energy C. decreases monotonically with energy D. Zero

15. Consider a linear collection of N independent spin 1/2 particles, each at a fixed location. The entropy of this system is (k is the Boltzmann constant)
16.  A. Zero B. Nk C. 1/2 Nk D. Nk ln(2)

17. The decay process n â†’ p+ + e- + v-e violates
18.  A. baryon number B. lepton number C. isospin D. strangeness

19. The isospin (I) and baryon number (B) of the up quark is
20.  A. I=1, B=1 B. I=1, B=1/3 C. I=1/2, B=1 D. I=1/2, B=1/3