DSSSB Delhi Post Graduate Teacher Physics Previous Year Paper 2014
| DSSSB – PGT – Physics – 2014 | |
| Sr. No. | Questions with multiple options |
| 1. | Consider an anti-symmetric tensor with indices I and j running from 1 to 5. The number of independent components of the tensor is
(a) 5 (b) 9 (c) 10 (d) 3 |
| 2. | The solution of the differential equation = with the initial condition X(0) = 1 will diverge towards infinity as ‘t’ tends to
(a) 1 (b) 2 (c) ½ (d) ∞ |
| 3. | Which of the following functions cannot be the real part of a complex analytic function of z = x + iy?
(a) y (b) – (c) – (d) y – y |
| 4. | The Fourier transform of the derivative of the Dirac δ function, namely δ’(x), is proportional to
(a) 0 (b) 1 (c) Sin k (d) Ik |
| 5. | The eigen values of the matrix
are (a) 0, 1, 2 (b) 0, 0, 3 (c) 1, 1, 1 (d) -1, 1, 3 |
| 6. | The equation of the plane that is tangent to the surface xyz = 8 at the point (1,2,4) is
(a) x+ 2y + 4z = 12 (b) 4x + 2y + z = 12 (c) X + 4y + 2 = 0 (d) X + y + z = 7 |
| 7. | Consider a counter clockwise circular contour = 1 about the origin. The integral dz over this contour is
(a) + iπ (b) – iπ (c) Zero (d) 2 iπ |
| 8. | If and are constant vectors, then is
(a) Zero (b) (c) (d) |
| 9. | Two bodies of mass ‘m’ and ‘2m’ are connected by a spring constant ‘k’. The frequency of the normal mode is
(a) (b) (c) (d) |
| 10. | Two events separated by a spatial distance 9 × m are simultaneous in one inertial frame. The time interval between these two events in a frame moving with a constant speed 0.8c (where the speed of light c = 3 × m/s) is
(a) 60s (b) 40s (c) 20s (d) 0s |
| 11. | A particle of unit mass moves in a potential V (x) = + , where a and b are positive constants. The angular frequency of small oscillations about the minimum of the potential is
(a) (b) (c) (d) |
| 12. | The potential of a diatomic molecule as a function of the distance r between the atoms is given by V(r) = + . The value of the potential at equilibrium separation between the atom is
(a) – (b) – (c) – (d) –
|
| 13. | The annulus of mass M made of a material of uniform density has inner and outer radii a and b respectively. Its principle moment of inertial along the axis of symmetry perpendicular to the plane of the annulus is
(a) M (b) Mπ (c) M (d) Mπ |
| 14. | If the Lagrangian of a particle moving in one dimension is given by
L = – v(x) then the Hamiltonian is (a) + V(x) (b) + V(x) (c) + V(x) (d) + V(x) |
| 15. | A meson at rest decays into two photons, which move along the x-axis. They are both detected simultaneously after 10 seconds. In an inertial frame moving with the velocity 0.6c in the direction of one of the photons, the time interval between the two directions is
(a) 45s (b) 15s (c) 10s (d) 20s |
| 16. | A solid cylinder of height H, radius R and density ρ, floats c=vertically on the surface of a liquid of density . The cylinder will be set into oscillatory motion when a small instantaneous downward force is applied. The frequency of oscillation is
(a) (b) (c) (d) |
| 17. | A particle of unit mass moves along the x-axis under the influence of potentiaol V(x) = x . The particle is found to be in a stable equilibrium at the point x =2. The time period oscillation of the particle is
(a) 2π (b) (c) Π (d) |
| 18. | Four equal point charges are kept fixed at the four vertices of a square. How many neutral points (i.e. points where the electric field vanishes) will be found inside the square?
(a) 2 (b) 1 (c) 4 (d) 8 |
| 19. | A plane electromagnetic wave travelling in free space is incident normally on a glass plate of refractive index 3/2. If there is no absorption by the glass, its reflectivity is
(a) 8% (b) 4% (c) 12% (d) 16% |
| 20. | The product of the group and phase velocities of a relativistic particle is equal to (‘c’ is the speed of light in vacuum and ‘v’ is the speed of the particle)
(a) (b) (c) (d) |
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