Content text 25 Physical Science Paper-II.pdf
Test Paper : II Test Subject : PHYSICAL SCIENCE Test Subject Code : K-2514 Test Booklet Serial No. : _______________________ OMR Sheet No. : _________________________________ Roll No. (Figures as per admission card) Name & Signature of Invigilator/s Signature: ____________________________________ Signature: ___________________________________ Name : ____________________________________ Name : ___________________________________ Paper : II Subject : PHYSICAL SCIENCE Time : 1 Hour 15 Minutes Maximum Marks : 100 Number of Pages in this Booklet : 8 Number of Questions in this Booklet : 50 K-2514 1 /P.T.O. Instructions for the Candidates 1. Write your roll number in the space provided on the top of this page. 2. This paper consists of fifty multiple-choice type of questions. 3. At the commencement of examination, the question booklet will be given to you. In the first 5 minutes, you are requested to open the booklet and compulsorily examine it as below : (i) To have access to the Question Booklet, tear off the paper seal on the edge of this cover page. Do not accept a booklet without sticker-seal and do not accept an open booklet. (ii) Tally the number of pages and number of questions in the booklet with the information printed on the cover page. Faulty booklets due to pages/questions missing or duplicate or not in serial order or any other discrepancy should be got replaced immediately by a correct booklet from the invigilator within the period of 5 minutes. Afterwards, neither the Question Booklet will be replaced nor any extra time will be given. 4. Each item has four alternative responses marked (A), (B), (C) and (D). You have to darken the oval as indicated below on the correct response against each item. Example :A B C D where (C) is the correct response. 5. Your responses to the questions are to be indicated in the OMR Sheet kept inside the Paper I Booklet only. If you mark at any place other than in the ovals in the Answer Sheet, it will not be evaluated. 6. Read the instructions given in OMR carefully. 7. Rough Work is to be done in the end of this booklet. 8. If you write your name or put any mark on any part of the OMR Answer Sheet, except for the space allotted for the relevant entries, which may disclose your identity, you will render yourself liable to disqualification. 9. You have to return the test OMR Answer Sheet to the invigilators at the end of the examination compulsorily and must NOT carry it with you outside the Examination Hall. 10. You can take away question booklet and carbon copy of OMR Answer Sheet soon after the examination. 11. Use only Blue/Black Ball point pen. 12. Use of any calculator or log table etc., is prohibited. 13. There is no negative marks for incorrect answers. 1. ! ! " # $% 2. &'( !) *+ ,-./ 0 '1 "2 "2 3 % 3. $ ( 4 5' 6 7 '1 " ( " 2 8 52 % 5- 92 ( 0" 0 ( 0 ( 85 5 : $ ;4 ( 5 % (i) '1 " ( 2 ' 15 (51 8 7) ( < = )" $# $% (>, ? '1 " ( @ ( $ A 3%0 ( @ ( " $ A 3% (ii) ! "#$ ! "%$&" ' "(&")*+ (#, -.$/,0)&1 2",(3 2", "",45& 2",6#7)"& " #, & & 89.# :'5;<8& "=>1 < ?. &. 67"@&',A BC D@ @&',A',"(51)"& EF"" :',"(5 4. '&+ '1 2" (A)7(B)7(C) 0 (D)B 2 & 5 , CD E02F % '1 " B $CE0 7( 2 (5G 0 < 85(H& (" 5 I A ( % G&,E70H A BC D (C)$CE0 55J2% 5. '1 "&'( I ( K> OMR E0)5 7 I"# II767";"IG#7 J#K&L%OMR E0 )5 < 85(H& A C E0 "2 & 7 < LM N C C852 % 6. OMR E0)5 ( >O 2 "P52(0 # Q$. 7. B5(8 ( "( ( C80(, J% 8. 2 0 "!R 23!) 5 ) Paper II 2 K-2514 Note : This paper contains fifty (50) objective type questions. Each question carries two (2) marks. All questions are compulsory. PHYSICAL SCIENCE Paper – II Total Number of Pages : 8 1. Eigen values of the matrix ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ θ θ − θ sin cos cos sin will be (A) + θ λ = i e and −iθ e (B) λ = sin θ and cos θ (C) λ = – sin θ and – cosθ (D) λ = θ e and −θ e 2. The value of L{sinh kt} is (A) 2 2 s k s − (B) 2 2 s k k − (C) 2 2 s k s + (D) 2 2 s k k + 3. Which of the following recurrence relations is not true ? (A) xP (x) P (x) P (x) 1 = + ′ ′ ι ι ι− l (B) H (x) 2n H (x) n = n−1 ′ (C) 2 ′ nJ (x) = Jn–1(x) + Jn+1(x) (D) L (x) n ′ = nL n (x) – nLn–1(x) 4. Which of the following is NOT correct with regard to the normal distribution ? 1) It is a continuous distribution 2) It is a bell shaped curve symmetric about the mean 3) Its curvature depends on the value of standard deviation, σ 4) Its curvature depends on the value of the mean 5) The mean and the mode coincide 6) The mean and the median do not coincide 7) The points of inflection of the curve occur at x = ± σ (A) 4 and 6 (B) 1, 2 and 6 (C) 2, 3, 4 and 7 (D) 1, 3, 4, 5 and 7 5. If f(x) = x for 0 ≤ x ≤ 2, and f(x) is expanded in Fourier series, then the constant term in the series is (A) 0 (B) 1 (C) 2 (D) 3 6. The Taylor’s series expansion of Sin x is (A) 4! x 2! x 1 2 4 − + (B) 4! x 4! x 1 2 4 + + (C) 5! x 3! x x 2 4 + + (D) 5! x 3! x x 2 4 − +
Total Number of Pages : 8 Paper II 4 K-2514 17. A rigid body moving freely in space has ________ degrees of freedom. (A) 3 (B) 6 (C) 9 (D) 4 18. Which of the following potential satisfies Laplace equation ? (A) V = 2x2 – 3y2 + z2 (B) V = x3 – xy (C) V = 2y2 (D) V = 4z2 – 3 19. If the potential field is given by V (x, y, z) = 2x2y – 5z, the magnitude of the electric field intensity at the point P (1, 2, 3) is (A) – 11V (B) – 11 V/m (C) 9.6 V (D) 9.6 V/m 20. In a perfect dielectric material a polarization P = 15k ˆ pC/m2 is produced when the electric field intensity is E = 3kˆ V/m. The electric susceptibility is (A) 1.77 (B) 1.565 (C) 0.6389 (D) 0.565 21. Magnetic field due to a vector potential A = (0, Bx2, 0) at a point (1, 0, 0) is (A) B (B) 2B (C) B2 (D) – 2B 22. Biot-Savart law in vector notation is (A) ∫ × π μ = 2 0 r d r i 4 B l (B) ∫ × π μ = r d r i 4 B 0 l (C) ∫ ⋅ π μ = 3 0 r d r i 4 B l (D) ∫ × π μ = 3 0 r d r i 4 B l 23. Poisson’s equation states that (A) ∈ ρ ∇ V = − 2 (B) ∈ ρ ∇ V = 2 (C) ∈ ρ ∇V = − (D) ∈ ρ ∇ = 2 V 24. For a good conductor skin depth varies (A) Directly as conductivity (B) Inversely as conductivity (C) Inversely as the square root of conductivity (D) Directly as the square root of conductivity 25. Lorentz gauge is represented by (A) ∇⋅A = 0 (B) ∇⋅A≠ 0 (C) 0 t = ∂ ∂φ (D) 0 t ≠ ∂ ∂φ 26. Stern-Gerlach experiment demonstrated the existence of (A) Electron magnetic moment (B) Electron spin (C) Electron charge (D) Neutron charge 27. The operator 2 2 2 ∂x ∂ − is for (A) Momentum (B) h2 (C) Kinetic energy (D) Force