PART TEST-5 (PT-5) TARGET : IIT- JEE 011 CODE 0 CLASS-XII/XIII COURSE : ALL INDIA TEST SERIES (VIKALP) Date : 16-01-011 Duration : 3 Hours Max. Marks : 43 Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. INSTRUCTIONS PAPER - A. General : 1. This Question Paper contains 63 questions.. The question paper CODE is printed on the right hand top corner on this sheet of this booklet. 3. No additional sheets will be provided for rough work. 4. Blank paper, clipboard, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets in any form are not allowed. 5. The answer sheet, a machine-gradable Objective Response Sheet (ORS), is provided separately. 6. Do not Tamper / mutilate the ORS or this booklet. 7. Do not break the seals of the question-paper booklet before instructed to do so by the invigilators. 8. Write your Name, Roll No. and Sign in the space provide on the back page of this booklet. B. Filling the bottom-half of the ORS : 9. The ORS has CODE printed on its lower and upper Parts. 10. Make sure the CODE on the ORS is the same as that on this booklet. If the Codes do not match, ask for a change of the Booklet. 11. Write your Roll No., Name and Name of centre and sign with pen in appropriate boxes. Do not write these anywhere else. 1. Darken the appropriate bubbles below your registration number with HB Pencil. 13. Fill the test cities code in ORS Sheet and for details of cities code see last page this test paper booklet. C. Question paper format and Marking scheme : DO NOT BREAK THE SEALS WITHOUT BEING INSTRUCTED TO DO SO BY THE INVIGILATOR 14. The question paper consists of 3 parts (Chemistry, Mathematics & Physics). Each part consists of four Sections. 15. For each question in Section I, you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero marks if no bubble is darkened. In case of bubbling of incorrect answer, minus one ( 1) mark will be awarded. 16. For each question in Section II, you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer and zero mark if no bubbled is darkened. There is no negative marking for incorrect answer for this this section. 17. For each question in Section III, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer, and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one ( 1) mark will be awarded. 18. For each question in Section IV, you will be awarded marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus, each question in this section carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this this section.
PART-I Atomic masses : [H = 1, D =, Li = 7, C = 1, N = 14, O = 16, F = 19, Na = 3, Mg = 4, Al = 7, Si = 8, P = 31, S = 3, Cl = 35.5, K = 39, Ca = 40, Cr = 5, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65, As = 75, Br = 80, Ag = 108, I = 17, Ba = 137, Hg = 00, Pb = 07] SECTION - I Straight Objective Type This section contains 11 multiple choice questions. Each question has choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 1. The ph of a 0 M solution of a weak monoacidic base, if its Kb value at 5 C is.5 10 3, will be : [Given log 11.18 = 1.05] (A) 11.95 (B) 1 (C) 1.05 (D) 1.95. 1 lit. of an aqueous concentrated solution of 1M NaCl is electrolysted using Pt electrode with a constant 193 current of 10 3 ma for a period of 1 hour 40 minute. Then what is the poh of the resulting solution at 10 the end of electrolysis. [Assume 1 M NaCl to a conc. solution]. (A) 1 (B) 13 (C) 3 (D) 11 3. Consider the half cell reactions (i) 6OH + Br BrO 3 + 3H O + 6e, Eº = 0.61 V (ii) OH + Br BrO + H O + e, Eº = 0.76 V Then the value of X and Y for following reaction is : BrO + 4OH BrO 3 + H O + 4e Eº = X, Gº = Y (A) X = 0.535 V, Y = 06.5 kj (B) X = 0.535 V, Y = 06.5 kj (C) X = 0.15 V, Y = 57.9 kj (D) X = 0.15 V, Y = 57.9 kj PR160111C0-1
4. In a cell that utilise the reaction : Zn (s) + H + (aq) Zn + (aq) + H (g) addition of concentrated H SO 4 to cathode compartment will : (A) increase the E and shift equilibrium to the left. (B) lower the E and shift equilibrium to the right. (C) increase the E and shift equilibrium to the right. (D) lower the E and shift equilibrium to the left. 5. Which of the following statements is incorrect? (A) A metal nitrate or nitrite on heating with zinc powder and concentrated NaOH produces ammonia gas. (B) Ni + ions give red precipitate with dimethyl-glyoxime (DMG), made alkaline with ammonium hydroxide. (C) Both Pb + and Ag + ions give same colour precipitate with potassium chromate solution. (D) Both alkaline sodium stannite and potassium iodide solution (not in excess) give same colour precipitate with Bi(NO 3 ) 3 solution. 6. The concentration of K + in interior and exterior of a Nerve cell are 500 mm and 5 mm respectively. The electrical potential (in volt) exists across the membrane is : [log 10 = 0.3] (A) 0.086 (B) 0.160 (C) 0.077 (D) None PR160111C0 -
7. Black (A) + H SO 4 (B) (smell of rotten egg) + (C) (C) + K 3 [Fe(CN) 6 ] Blue (D) A would be : (A) HgS (B) FeS (C) Bi S 3 (D) CuSO 3 8. An unknown weak acid is characterized by its pk a value. The standard method of determining pk a requires preparing a solution such that weak acid with NaOH and then back titrating with HCl until ph = pk a = ph. This is done by first titrating an arbitrary sample of the pk a. If a sample of acetic acid required 50 ml of 0.5 M NaOH to reach the phenolphthalein end point, then how much 0.5 M HCl should be added such that pk a = ph. Given : pk a for CH 3 COOH = 5, ph range for phenolphthalein is 8 to 10. (A) 50 ml (B) 1.5 ml (C) 37.5 ml (D) 5 ml 9. Which of the following is possible intermediate in the following reaction? Cl (A) (B) (C) (D) PR160111C0-3
O O 10. O Suitable reagent(s) for the above transformation. (A) mcpb A (B) KMnO 4 / OH (C) H O / NaOH (D) HCOOH and H O in DMSO 11. Find the identity of compound "B" in the following reaction sequence CHCNa + CH 3 CH CH CH Br A A + Cl B 1 mol 1 mol (A) trans-1, -dichloro-1-hexene (B) cis-1, -dichloro-1-hexene (C) cis-1, -dichlorobutene (D) trans-, 3-dichloro--hexene SECTION - II Multiple Correct Answers Type This section contains 5 multiple correct answer(s) type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONE OR MORE is/are correct. NH 1. CuSO 4 + NaOH [X] 4 OH (excess) [Y] Which of the following statement(s) is/are correct for [Y] compound? (A) [Y] is deep blue colour complex, soluble in water. (B) [Y] is yellow colour complex, soluble in water. (C) Hybridisation of [Y] is found dsp. (D) It is paramagnetic with unpaired electron in p-orbital. PR160111C0-4
13. Which of the following statements is/are correct for 0.003M aqueous solution of NH 4 CN : (Given K a (HCN) = 10 11 & K b (NH 3 ) = 10 5 ) (A) The value of degree of hydrolysis (h) comes out to greater than 0.1. (B) The ph of the solution can directly be calculated using the formula ph = 1 (pkw + pk a pk b ). (C) The degree of hydrolysis (h) is independent of the concentration of solution. (D) The ph of the solution will be greater than 7 at 5ºC. 14. Which of the following statement(s) is/are correct. (A) Salt bridge minimizes the liquid-liquid Junction potential. (B) Li act as strongest reducing agent among all metals because of high value of hydration energy of Li +. (C) Fluorine act as strogest oxidising agent because of its high value of electronegativity. (D) At equilibrium state cell is completely discharged, and stops functioning and it will not generate any energy. 15. Alkynes can undergo in which reaction : (A) Electrophilic addition reactions (C) Polymerisation reactions (B) Free radical addition reactions (D) Electrophilic substition reaction 16. Toluene, when treated with Br /Fe, gives p-bromotoluene as the major product because the CH 3 group: (A) is para directing (B) is meta directing (C) activates the ring by hyperconjugation (D) Deactivates the ring PR160111C0-5
SECTION - III Reasoning Type This section contains 3 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 17. Statement-1 : NO 3 salt on reduction with Zn/NaOH give a colourless gas which on treatment with Nessler reagent give brown ppt or colour. Statement- : K HgI 4 neutral aqueous solution is called Nessler reagent. (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True 18. Statement-1 : For pure water both ph and poh decrease with increase in temperature. Statement- : For the reaction H O H 3 O + + OH H > 0 (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement- is False. (D) Statement-1 is False, Statement- is True. 19. Statement-1 : Addition of bromine to trans--butene yields meso-. 3-dibromobutane. Statement- : Bromine addition to an alkene is an electrophilic substitution. (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement- is False. (D) Statement-1 is False, Statement- is True. PR160111C0-6
SECTION - IV Matrix - Match Type This section contains questions. Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example. If the correct matches are A-p, s and t ; B-q and r; C-p and q; and D-s and t; then the correct darkening of bubbles will look like the following : 0. Column I Column II (A) Cu + + KCN (excess) + (B) Hg + KI (excess) (C) Ni + + KCN (excess) (D) Zn + + NH 4 OH (excess) (p) One of the product is tetrahedral (q) Redox reaction (r) Square planer product (s) Diamagnetic (t) No precipitate obtain at the end. PR160111C0-7
1. Match the reactions given in column I with their properties listed in column II. Column I Column II (A) (p) Anti elimination (B) Ph CC Ph H,Pd BaSO 4 poisoned (q) stereoselective (C) (r) Optical diastereomers (D) (s) CO will evolve (t) Recemic mixture PR160111C0-8
PART- II SECTION - I Straight Objective Type This section contains 11 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct.. Let C denote the set of all complex numbers and let us define two sets A and B as A = z : z C and Arg(z i), where Arg(z) represents principal argument of z. 3 B = z : z C and z i 1 then identify the correct statement (A) A B represents complex numbers lying inside or on boundry of sector of a circle (B) set B is a subset of set A (C) A B represents complex numbers lying on an arc of a circle (D) A B represents complex numbers lying inside on boundary of segment of a circle 3. Identify the correct statement (c is integration constant) (A) x nx dx = x nx x + c (B) x n x dx = xe x + c (C) x e x dx dx = xe x + cx (D) a x 1 = n (x + a a x ) + c PR160111C0-9
4. Which of the following is correct. (A) z + 3i > z i represents the shaded part in figure (B) 3 < arg(z ) < 3 represents the shaded part in figure (C) If z 7 = 43, then there are 4 roots whose real part is positive. (D) z 3 4i + z = 5 represents an ellipse. z 5. If ( z 1, z ) and ( z 3, z 4 ) are two pairs of non zero conjugate complex numbers then arg 1 z z + arg 3 z = 4 (A) 0 (B) / (C) (D) /3 6. In a OAB, E is the mid point OB and D is a point on AB such that AD : DB = : 1. If OD and AE intersects at P, then ratio of PD OP is equal to (A) 3 : (B) : 3 (C) 3 : 4 (D) 4 : 3 PR160111C0-10
7. If i = 1, is an imaginary cube root of unity, then (1 (1 i) 4 n (1 i) 4 )(1 (A) 0 if n is odd (B) 0 for all n (C) n 1. i n if n is odd (D) n 1. i if n is even n ) is equal to 8. z 1, z, z 3, z 4 are distinct complex numbers representing the vertices of a quadrilateral ABCD taken in order. If z 1 z 4 = z z 3 and arg z z 4 z z 1 1 =, then the quadrilateral is (A) rectangle (B) rhombus (C) square (D) trapezium 9. Let f : R R be a differentiable function having f() = 6, f() = 1 f(x). Then, lim 4t x 16 dt equals- 6 x (A) 4 (6) 4 (B) 4 (6) 5 (C) 4 (6) 3 (D) 4 (6) 5 sin x cos x 30. If < x < then 4. e sinx. cos x dx = 1 sinx (A) e sinx + c (B) e sin x cos x + c (C) e sinx + c (D) e cos x + c PR160111C0-11
31. If z 5i 15, then max. Arg (z) min. Arg(z) equals to (Arg(z) represents principal argument of z) (A) cos 1 3 5 4 (B) cos 1 5 3 (C) +cos 1 5 (D) sin 1 3 3 cos 1 5 5 3. If a î kˆ, b î ĵ kˆ and c 4î 3 ĵ 7kˆ. Then a vector r satisfying the relation that r b c b and r. a 0, is (A) î ĵ kˆ (B) î ĵ kˆ (C) î ĵ kˆ (D) î ĵ kˆ SECTION - II Multiple Correct Answer Type This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONE OR MORE is/are correct. 33. If a, b, c are non coplanar non-zero vectors such that b c a, a b c and c a b, then (A) a = 1 (B) b = 1 (C) a b c 3 (D) None of these PR160111C0-1
34. If is a non real 7 th roots of unity and f(x) = A 0 + f(x) + f(x) + f( x) +...+ f ( 6 x) is: 0 k 1 A k k x, then the value of (A) 6A 0 (B) 7A 0 (C) independent on (D) a non-constant function of sin x 35. dx = 4 4 sin x cos x (A) cot 1 (cot x) + c (B) cot 1 (tan x) + c (C) tan 1 (tan x) + c (D) tan 1 (cos x) + c sin x 36. If A = 0 x dx then the value of the integral sin ax cos bx dx x must be 0 (A) A if a > b > 0 (B) A if a + b = 0 (C) A a b (D) 0 if b > a > 0 37. The direction cosines of a line bisecting the angle between two perpendicular lines whose direction cosines are 1, m 1, n 1 and, m, n are (A) (C) 1, 1, m1 m m1 m n1 n, n1 n, (B) 1 +, m 1 + m, n 1 + n (D) 1, m 1 m, n 1 n PR160111C0-13
SECTION - III Reasoning Type This section contains 3 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 37 38. STATEMENT-1 : The value of the definite integral x} 3(sinx) function, is 6. 19 { dx, where { } denotes the fractional part bt T STATEMENT- : f (x) dx = (b a) f (x) dx, where a, b N such that b > a and T is period of f(x). at 0 (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True x 39. STATEMENT-1 : 1 x e tan x dx = e (1 x ) x 1 1 tan x + c 1 x STATEMENT- : e x f(x) f(x) dx = e x f(x) f(x) dx + c (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True PR160111C0-14
40. STATEMENT-1 : a, b, c are three distinct real numbers and 1 is a cube root of unity, then a b c a b c = 1 STATEMENT- : If z 1, z 0 are complex numbers, then z z 1 = z z 1 and z 1 z = z 1 z. (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1. (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True SECTION - IV Matrix - Match Type This section contains questions. Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be drakened as illustrated in the following example. If the correct matches are A-p, s and t ; B-q and r; C-p and q; and D-s and t; then the correct darkening of bubbles will look like the following : 41. Column Column 0 (A) x dx = (p) (B) { x } dx = (q) 0 7 3 3 (C) (sgn( x)) dx = (r) 0 0 (D) ( f(1 x) f(x 1))dx = (s) 5 3 0 (t) 3 3 Where [. ], {. } and sgn(x) represents greatest integer function, fractional part function and sigum function of x respectively. PR160111C0-15
4. Column I Column II (A) If complex numbers z 1, z, z 3 are vertices of an equilateral (p) triangle inscribed in the circle z =. If z 1 = 1 + i 3, then Re (z ) + Re (z 3 ) = (B) The number of common roots of the two equations (q) 1 z 3 + z + z + 1 = 0 and z 1985 + z 100 + 1 = 0 is (C) If z is a complex number then minimum value of (r) 4 z + z 1 + z 3 is x (D) If i = 1 and the square root of y y + x + 1 i x y y x 31 + 16 (s) 0 is ± x y y x i, then m = m (t) 1 PR160111C0-16
PART - III SECTION - I Straight Objective Type This section contains 11 multiple choice questions. Each question has choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 43. In the given LC circuit if initially capacitor C has charge Q on it and C has charge Q.The polarities are as shown in the figure. Then after closing switch S at t = 0 : (A) energy will get equally distributed in both the capacitor just after closing the switch. (B) initial rate of growth of current in inductor will be Q/3 C L (C) maximum energy in the inductor will be 3 Q / C (D) none of these S t=0 C + - L + - C 44. A conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced currents in wires AB and CD are : C A B D (A) B to A and D to C (B) A to B and C to D (C) A to B and D to C (D) B to A and C to D PR160111C0-17
45. An inductor coil stores energy U when a current i is passed through it and dissipates heat energy at the rate of P. The time constant of the circuit when this coil is connected across a battery of zero internal resistance is : 4U (A) P (B) P U U (C) P P (D) U 46. In the circuit shown the readings of ammeter and voltmeter are 4A and 0V respectively. The meters are non-ideal, then R is (A) 5 (B) less than 5 (C) greater than 5 (D) between 4 and 5. 47. A and B are two metallic rings placed at opposite sides of an infinitely long straight conducting wire as shown. If current in the wire is slowly decreased, the direction of induced current will be : (A) clockwise in A and anticlockwise in B (C) clockwise in both A and B (B) anticlockwise in A and clockwise in B (D) anticlockwise in both A & B 48. Two long cylinders (with axis parallel) are arranged as shown to form overlapping cylinders, each of radius r, whose centers are separated by a distance d. Current of density J (Current per unit area) flows into the plane of page along the right shaded part of one cylinder and an equal current flows out of the plane of the page along the left shaded part of the other, as shown. The magnitude and direction of magnetic field at point O (O is the origin of shown x-y axes) are (A) 0 J d, in the + y-direction (B) (C) zero d 0 J (D) none of these, in the + y-direction r PR160111C0-18
49. In the figure initial status of capacitor and their connection is shown. Which of the following is incorrect about this circuit : (A) Final charge on each capacitor will be zero (B) Final total electrical energy of the capacitors will be zero (C) Total charge flown from A to D is 30µC (D) Total charge flown from A to D is 30µC 50. A point charge is moving in clockwise direction in a circle with constant speed. Consider the magnetic field produced by the charge at a point P (not centre of the circle) on the axis of the circle. (A) it is constant in magnitude only (B) it is constant in direction only (C) it is constant in direction and magnitude both (D) it is not constant in magnitude and direction both. 51. A dipole is kept at origin along y-axis. As one moves from A to B along the curve, the direction of the electric field changes from negative y direction to positive y direction. The angle (with the dipole moment) at which y component of electric field is zero is : (A) 45º (B) 1 tan 1 1 (C) tan 1 (D) tan 1 () 5. An ammeter and a voltmeter are joined in series to a cell. Their readings are A and V respectively. If a resistance is now joined in parallel with the voltmeter, (A) both A and V will increase (B) both A and V will decrease (C) A will decrease, V will increase (D) A will increase, V will decrease PR160111C0-19
53. The switch S shown in figure is kept closed for a long time and then opened at t = 0, then the current in the middle 0 resistor at t = 0.5 ms is : 5 F 1 V 0 0 S (A) 0.69 A (B) 0.489 A (C) 0.189 A (D) 3 ma SECTION - II Multiple Correct Answers Type This section contains 5 multiple correct answer(s) type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONE OR MORE is/are correct. 54. In an AC series circuit when the instantaneous source voltage is maximum, the instantaneous current is zero. Connected to the source may be a : (A) pure capacitor (B) pure inductor (C) pure resistor (D) combination of pure an inductor and pure capacitor 55. Three identical discs A, B and C rest on a smooth horizontal plane, the disc A set in motion with velocity v along perpendicular bisector of line BC joining centre of disc. Distance between the centers of disc B and C is times of the diameter of each disc. A stops after collision and all collisions are elastic, then which of the following statements is/are correct - (A) Net impulse on A is (mv) (B) Net impulse on A is mv (C) Impulse on B due to A is of same magnitude as impulse on C due to A (D) Total kinetic energy of system (A+B+C) before collision is equal to total kinetic energy of system (A+B+C) after collision PR160111C0-0
56. A battery of emf E and internal resistance r is connected across a resistance R. Resistance R can be adjusted to any value greater than or equal to zero. A graph is plotted between the current (i) passing through the resistance and potential difference (V) across it. Select the correct alternative (s) (A) internal resistance of the battery is 5 (B) emf of the battery is 10 V (C) maximum current which can be taken from the battery is A (D) V-i graph can never be a straight line as shown in figure. 57. The figure shows a diagonal symmetric arrangement of capacitors and a battery. If the potential of C is zero, then (All the capacitors are initially uncharged). (A) V A = + 0 V (C) (V A V D ) + (V B V D ) = 4V D (B) 4(V A V B ) + (V D V B ) = V B (D) V A = V B + V D 58. An LR circuit with a battery is connected at t =0. Which of the following quantities are zero just after the connection? (A) current in the circuit (B) magnetic field energy in the inductor (C) power delivered by the battery (D) emf induced in the inductor PR160111C0-1
SECTION - III Reasoning Type This section contains 3 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 59. STATEMENT 1 : A parallel beam of negatively charged particles passes undeflected through crossed electric and magnetic fields (neglect the electromagnetic interaction between the negatively charged particles). When the electric field is switched off, the beam splits up in several beams. This splitting is due to the particles in the beam having different velocities. STATEMENT : For charged particles undergoing uniform circular motion in uniform magnetic field, radius of their path is directly proportional to speed. Hence charged particles with different speed may move in circular paths of different radii in a uniform magnetic field. (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1 (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True. +Q 60. STATEMENT-1 : A charged plane parallel plate capacitor has half inter planar region () filled with dielectric slab. The other half region has air. Then the magnitude of net electric field in region is less than that in region. Dielectric slab I Q Air II A +Q C STATEMENT- : In a dielectric medium induced (or polarized) charges tend to reduce the electric field inside the dielectric. Dielectric slab Air (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1 (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True. B Q D PR160111C0 -
61. STATEMENT-1 : In a series R,L,C circuit if V R, V L, and V C denote rms voltage across R, L and C repectively and V S is the rms voltage across the source, then V S =V R + V L + V C. STATEMENT- : In AC circuits, kirchoff voltage law is correct at every instant of time. (A) Statement-1 is True, Statement- is True; Statement- is a correct explanation for Statement-1 (B) Statement-1 is True, Statement- is True; Statement- is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement- is False (D) Statement-1 is False, Statement- is True. SECTION - IV Matrix - Match Type This section contains questions. Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example. If the correct matches are A-p, s and t ; B-q and r; C-p and q; and D-s and t; then the correct darkening of bubbles will look like the following : PR160111C0-3
6. In each situation of column-i, a circuit involving two non-ideal cells of unequal emf E 1 and E (E 1 > E ) and equal internal resistance r are given. A resistor of resistance R is connected in all four situations and a capacitor of capacitance C is connected in last two situations as shown. Assume battery can supply infinity charge to the circuit (r, R 0, E 1,E 0). Four statements are given in column-ii. Match the situation of column-i with statements in column-ii. Column- I Column - II (A) (p) magnitude of potential difference across both cells can never be same. (B) (C) The capacitor is initially uncharged. After the key K is closed (q) cell of lower emf absorbs energy, that is, it gets charged up as long as current flows in circuit (r) potential difference across cell of lower emf may be zero. (D) The capacitor is initially uncharged. After the key K is closed. (s) current in the circuit can never be zero (even after steady state is reached). (t) Whenever there is a current in the circuit, it will be clockwise PR160111C0-4
63. A beam consisting of four types of ions A, B, C and D enters a region that contains a uniform magnetic field as shown. The field is perpendicular to the plane of the paper, but its precise direction is not given. All ions in the beam travel with the same speed. The table below gives the masses and charges of the ions. ION MASS CHARGE A m e B 4m e C m e D m + e The ions fall at different positions 1,, 3 and 4, as shown. Correctly match the ions with respective falling positions. Column I Column II (A) A (p) 1 (B) B (q) (C) C (r) 3 (D) D (s) 4 (t) 5 PR160111C0-5
Name of the Candidate Roll Number I have read all the instructions and shall abide by them. I have verified all the information filled in by the Candidate. -------------------------------- Signature of the Candidate -------------------------------- Signature of the Invigilator Example for Filling Test Cities Code in ORS : If your Test centre is Bhatinda and test code is 06 then fill in ORS : (a) (b) Test Code Test Centre Test Code Test Centre Test Code Test Centre 01 AHMEDABAD 0 AGRA 03 BENGALURU 04 BIKANER 05 BHOPAL 06 BHATINDA 07 BHUBNESHWAR 08 BOKARO 09 CHANDIGARH 10 DHANBAD 11 DEHRADUN 1 GUWAHATI 13 HYEDRABAD 14 INDORE 15 JAIPUR 16 KANPUR 17 KOLKATA 18 KOTA 19 LUCKNOW 0 MUMBAI- Andheri 1 MUMBAI- Thane MUMBAI- Nerul 3 MUMBAI- Dadar 4 MANGLURU 5 MUZAFFARPUR 6 NAGPUR 7 NEW DELHI- East 8 NEW DELHI- North West 9 NEW DELHI- South 30 PATNA 31 RAIPUR 3 RANCHI 33 SRI GANGANAGAR 34 SHAKTI NAGAR 35 UDAIPUR 36 UDUPI 37 VARANASI 38 BHAGALPUR 39 GWALIOR 40 PATHANKOT 41 RAJKOT 4 GORAKHPUR 43 BHILAI (Space for rough work)