Title K-2517 (Physical Science).pdf ✅

Total Number of Pages : 8 Paper II 4 K-2517 19. Which of the following gives valid upper and lower bounds on the angle θ between the angular momentum L and the angular velocity ω of a rigid body ? (A) 0 ≤ θ ≤ π (B) 4 3 0 π ≤ θ ≤ (C) 6 7 0 π ≤ θ ≤ (D) 2 0 π ≤ θ ≤ 20. Volume of a sphere is V0 in its rest frame. Its volume V in an inertial frame moving with a speed c/2 along x-axis relative to the rest frame is (A) V < V0 (B) V = V0 (C) V = 2V0 (D) V → ∞ 21. The electric flux through any closed surface is a measure of (A) the total charge inside the surface (B) the total charge outside the surface (C) the total charge at the surface (D) the total charge, both, inside and outside the surface 22. Which of the following Maxwell’s equations need modification on assumption of the existence of the magnetic monopoles ? (A) ∇ . D = ρ (B) ∇ .B = 0 (C) t B E ∂ ∂ ∇ × = − (D) t D H J ∂ ∂ ∇ × = + 23. Match the following : P) Biot-Savart law 1. Ο = ∫ E . dl 0 Q) Gauss’ law 2. 2 cr d r dB × = l I R) Ampere’s law 3. E 0 ∇ . = ρ ∈ S) ∇ ×E = 0 4. B J0 ∇ × = μ (A) P – 2, Q – 1, R – 3, S – 4 (B) P – 1, Q – 3, R – 4, S – 2 (C) P – 2, Q – 3, R – 4, S – 1 (D) P – 4, Q – 2, R – 3, S – 1 24. A plane polarized light is refracted by a dielectric medium of refractive index, μ . If the angle of incidence is i=tan–1μ , the angle of refraction is (A) r = π 2 (B) = μ −1 r tan (C) − μ π = −1 tan 2 r (D) = π − μ −1 r tan 25. A parallel plate capacitor is filled with insulating material of dielectric constant, ∈r . As a result, the following effects are observed (A) the dielectric will reduce electric field and potential difference (B) the dielectric will reduce electric field and increase potential difference (C) the dielectric will increase electric field and the potential difference (D) the dielectric will not alter the electric field and the potential difference 26. The electric field in a source free region is given by j byˆ i ˆ E = x + . The value of b is (A) –1 (B) 0 (C) 1 (D) ∞ 27. Consider three charges 2q, –q, –q kept at (0, 0, a), (0, 0, 0) and (0, 0, –a). The electric dipole moment is (A) zero (B) 3qa along the z-axis (C) qa along the z-axis (D) dependent on the origin 28. An electrostatic field is said to be conservative, when (A) divergence of the electric field is zero (B) curl of the electric field is zero (C) curl of the electric field is equal to t B ∂ ∂ − (D) the Laplacian of the electric field is zero