FIITJEE PET XV (REG_1 ST YEAR)

Transcription

1 FIITJEE PET XV (REG_1 ST YEAR) MAINS_SET A DATE: Time: 3 hours Maximum Marks: 360 INSTRUCTIONS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted. 3. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENROLLMENT NO.: FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

2 PET-XV (1 ST YEAR)-019-MPC- 1. If f(x) is a function such that f(x + y) = f(x) + f(y) and f(1) = 7, then 7n 7 n 1 n f(r) = r1 (C) 7n (n + 1) (D) 7n(n 1) The function y = f(x) satisfying the condition f x x 3 x is x f(x) = x f(x) = x (C) f(x) = x + (D) f(x) = x 3 3x 3 3. The domain of f(x) = log10 x x 3 4 x (1, ) ( 1, 0) (1, ) (C) (1, ) (, ) (D) ( 1, 0) (1, ) (, ) 1 4. If f: R R is defined by f(x) = cos3x 1 1,1 3,1 3 is for each x R, then the range of f is (C) (1, ) (D) [1, ] 5. If f(x) = y, y = x 1 and range of y is {y : 0 < y < 5}, then domain = 1 x : x 1 {x : 1 < x < 1} (C) {x : 0 < x < 10} (D) none of these 6. If f: R S, defined by f(x) = sin x 3 cos x + 1, is onto, then the interval of S is [0, 3] [ 1, 3] (C) [0, 1] (D) [ 1, 1] 7. If f(x) = 4x 1, if x > 4; = x, if x 3; 11 3 = 3x + 4, if x < ; then 3 11 f 3 f 5 f 0 f 1 f f 1 f 5 f 3 (C) = 11 (D) FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

3 4 cos x sin x 8. If f(x) = for x R, then f(00) = 4 sin x cos x 1 (C) 3 (D) 4 9. If f: R R is defined by f(x) = x + x, then f(3x) f( x) 4x = f(x) f(x) (C) f( x) (D) f(x) PET-XV (1 ST YEAR)-019-MPC If f(a) = 1 a log 1 a a for 0 < a < 1, then f 1 a = f(a) f(a) (C) 1 f(a) (D) f(a) 11. The shaded area in the figure is A B A B (C) B A (D) none of these A B 1. The shaded area in the figure is A (B C) A (B C) (C) A (B C) (D) A (B C) A B C 13. Domain of function f(x) = 5 ( 3, ) [0, 1] 1 x log 1 x 10 1 is (C) [, 1) {0} (D) none of these 14. If log 4 5 = a and log 5 6 = b, then log 3 is equal to 1 1 a 1 b 1 (C) ab + 1 (D) 1 ab 1 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

4 PET-XV (1 ST YEAR)-019-MPC-4 sin x cos x The range of h(x) = log is [ 1, ] [ 1, ] (C) [1, ] (D) [1, ] 16. Find the range of the function f(x) = x 1 x. 3, 6 3,6 (C) [3, 6] (D) 3, If log 4 + log log 4 x + log 4 16 = 6, then x is 64 4 (C) 8 (D) 3 tan x 18. If f 1 tan x = (1 cos x) (sec x tan x), then find f(sin x) sin x 1 1 (C) 0 (D) none of these 19. The range of y = 3 one element (C) the function is undefined log cos sinx contain(s) infinitely many elements (D) none of these 0. The value of x for log 1/3 x x < 1 lies in (0, 1) (1, ) (0, 1) (, ) (C) (0, 1) [, ) (D) (0, 1] [, ) is 1. Range of f (x) = cos x 9 [ 1, ] [1, 0] (C) (0, 1) (D) [1, ]. The range of the function f(x) = 4 x + x + 4 x + x + 3 is [3/4, ) (3/4, ) (C) (7, ) (D) [7, ) 3. Find the value of x satisfying the equation log x x 1x 36 = 4 (C) 4 (D) none of these 4. Find the value of x, satisfying log a (1 + log b (1 + log c (1 + log p x))) = (C) 1 (D) FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

5 1 5. Solve x, if log 81 3 = for x > 0 x 4 5 (C) 7 (D) x y z 6. Find the value of log log log. yz zx xy 0 x (C) x + y + z (D) 7z 7. If log k x.log 5 k = log x 5, k 1, k > 0, then x is equal to PET-XV (1 ST YEAR)-019-MPC-5 k 1 5 (C) 5 (D) none of these 8. If ( x ) (3 x + 4 ) = 7 x, then x is equal to 4log3 4log3 log7 log6 log6 log7 (C) log3 log7 log6 (D) none of these 9. The value of 1 1 log31 log41 is equal to 0 1 (C) 1 (D) 30. The solution of the equation log 7log5 x x 5 = 0 is x = x = 3 (C) x = 4 (D) x = 31. The moment of inertia of a thin hollow cylinder of radius R, length L and mass M about an axis passing through its centre of mass and normal to its length is 1 / 1 ML ¼ ML (C) M L R 1 4 (D) M L R 1 3. Three identical uniform rods each of length 1 m and mass kg are arranged to form an equilateral triangle. What is the moment of inertia of the system about an axis passing through one corner and perpendicular to the plane of the triangle? 4 kg-m 3 kg-m (C) kg-m (D) 3 / kg-m FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

6 PET-XV (1 ST YEAR)-019-MPC An equilateral triangle ABC formed from a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along AB and other along AC as shown. Neglecting frictional effects, the quantities that are conserved as beads slides down are: angular velocity and total energy (kinetic and potential) total angular momentum and total energy (C) angular velocity and moment of inertia about the axis of rotation (D) total angular momentum and moment of inertia about the axis of rotation 34. Two particles of masses m 1 and m are connected by a rigid massless rod of length r to constitute a dumb-bell which is free to move in the plane. The moment of inertia of the dumb-bell about an axis perpendicular to the plane passing through the centre of mass is m m r m 1 m 1 ( m m ) r (C) 1 m m r m 1 m 1 (D) ( m m ) r Figure shows a uniform solid block of mass M and edge lengths a, b and c. Its M.I. about an axis through one edge and perpendicular (as shown) to the large face of the block is M M (a + b ) (a + b ) 3 4 (C) 7 M M (a + b ) (D) (a + b ) 1 1 A a B O D b c C 36. Figure shows a thin metallic triangular sheet ABC. The mass of the A l B sheet is M. The moment of inertia of the sheet about side AC is Ml /18 Ml 90 o /1 (C) Ml /6 (D) Ml /4 l C 37. A particle of mass m = 5 units is moving with a uniform speed v = 3 m in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum about origin is zero 60 unit (C) 7.5 unit (D) 40 unit FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

7 PET-XV (1 ST YEAR)-019-MPC The moment of inertia of a solid flywheel about its axis is 0.1 kg-m. A tangential force is applied round the circumference of the flywheel with the help of a string and mass arrangement as shown in the figure. The string doesn t slip. If the radius of the wheel is 0.1 m, find the angular acceleration of the flywheel rad/sec 16.3 rad/sec (C) rad/sec (D) none of these 0.1m kg W = Mg 39. Two men each of mass m stand on the rim oft horizontal circular disc, diametrically opposite to each other. The disc has a mass M and is free to rotate about a vertical axis passing through its centre of mass. Each mass start simultaneously along the rim clockwise and reaches their original starting positions on the disc. The angle truned through by the disc with respect to the ground (in radian) is: 8m 4m M m 4m M (C) m M m (D) 4m M m 40. If vector F be a force acting on a particle having the position vector r and be the torque of this force about the origin, then r. = 0 and F. = 0 r. = 0 and F. 0 (C) r. 0 and F. 0 (D) r. 0 and F For the same total mass which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body a disc of radius R a ring of radius R (C) a square lamina of side R (D) four rods forming a square of side R 4. The moment of inertia of hollow sphere (mass M) of inner radius R and outer radius R, having material of uniform density, about a diametric axis is 31MR 43MR 19MR (C) (D) none of these Let I 1 and I be the moment of inertia of a uniform square plate about axes shown in the figure. Then the ratio I 1 : I is 1 1 : 1 7 (C) 1 : : 1 7 (D) 1 : 7 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

8 PET-XV (1 ST YEAR)-019-MPC A circular platform is mounted on a vertical frictionless axle. Its radius is r = m and its moment of Inertia is I = 00 kg-m. It is initially at rest. A 70 kg man stands on the edge of the platform and begins to walk along the edge at speed v 0 = 1.0 m/s relative to the ground. The angular velocity of the platform is: 1. rad/s 0.4 rad/s (C).0 rad/s (D) 0.7 rad/s 45. A homogeneous disc with a radius 0. m and mass 5 kg rotates around an axis perpendicular to its plane and passing through its centre. The angular velocity of the rotation of the disc as a function of time is given by the formula = + 6t. The tangential force applied to the rim of the disc is 1 N N (C) 3 N (D) 4 N 46. A uniform rod of mass m and length is hinged at O as shown in the figure. A particle of mass m strikes the extreme end of rod and sticks to it. The angular momentum of the system can be conserved about point O centre of mass of the rod (C) centre of mass of rod and particle system (D) any point in inertial frame m O 47. A uniform metre stick of mass 00 g is suspended from the ceiling through two vertical strings of equal lengths fixed at the ends. A small object of mass 0 g is placed on the stick at a distance of 70 cm from the left end. The tensions in the two strings are 1.04 N in the left string and 1.1 N in the right.04 N in the right string and 1.1 N in the left (C).0 N in the left string and 3.0 N in the right (D) none of these 48. Average torque on a projectile of mass m, Initial speed is and angle of projection between Initial and final positions P and Q as shown in figure about the point of projection is: mu sin mu cos (C) mu mu cos sin (D) FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

9 PET-XV (1 ST YEAR)-019-MPC Two cylinders having radii R and R and moment of inertias 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity 0. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this angular momentum of system is conserved kinetic energy is conserved (C) neither the angular momentum nor the kinetic energy is conserved (D) both the angular momentum and kinetic energy are conserved 50. A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle its angular velocity at that instance is given is (C) 6g sin L 1g sin L (D) None 6g cos L A L B B A 51. A smooth uniform rod of length L and mass M has two identical beads of negligible size, each of mass m, which can slide freely along the rod. Initially, the two beads are at the centre of the rod and the system is rotating with angular velocity 0 about an axis perpendicular to rod and passing through the midpoint of rod. There are no external forces. When the beads reach the ends of the rod the angular velocity of the system is M M 3m 0 M M 6m 0 (C) M 6m M L 0 (D) 0 C 0 L M FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

10 PET-XV (1 ST YEAR)-019-MPC One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is: 3 mg 5 mg (C) 3 mg (D) 5 mg 53. A disc of mass M and radius R moves in the x-y plane as shown in the figure. The magnitude of angular momentum of the disc at the instant shown is: (a) 5 mr about O (c) 1 3 mr about A (b) 7 mr about O (d) 4 mr about A 54. A plank is hinged on horizontal surface at point A as shown in figure, find angular velocity of plank about point A at instant given in figure. Solid sphere only translates with velocity v and radius of sphere is R. v sin v cos R R (C) v sin R (D) v sin R 55. A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and normal to its length; then L = R L = 3 R (C) L = R/ 3 (D) L = 0 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

11 PET-XV (1 ST YEAR)-019-MPC The moment of inertia of a hollow sphere with a concentric spherical cavity about an axis passing through centre is 1 MR, then its radius of gyration about a parallel axis at a distance R from first axis is 5R /5 R (C) Will depend upon radius of cavity (D) None 57. Moment of inertia of a uniform annular disc of internal radius r and external radius R and mass M about an axis through its centre and perpendicular to its plane is 1 M(R r ) 1 M(R + r M(R r ) 1 M(R r ) ) (C) (D) (R r ) (R r ) 58. A wire of length l and mass m is bent in the form of a rectangle ABCD with AB =. The moment of BC inertia of this wire frame about the side BC is: 11 5 ml 8 03 ml (C) ml (D) 7 16 ml 59. A uniform semicircular ring of mass m and radius r is hinged at end A so that it can rotate freely about end A in the vertical plane as shown in the figure. The angle made by the line AB with vertical in the equilibrium position is 1 0 tan 1 (C) tan 1 (D) tan 60. A spool of mass M and radius R lies on an inclined plane as shown in figure. A light thread is wound around the connecting rube of the spool and its free end carries a weight of mass m. The value of m so that system is in equilibrium is A B M sin M sin (C) M tan (D) M cos FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

12 PET-XV (1 ST YEAR)-019-MPC Which of the following has highest number of geometrical isomers. CCO (C) (D) Cl 6. Total number of position isomers of trichlorocyclohexane which can show geometrical isomerism. 3 (C) 4 (D) The most stable form of meso tartaric acid is Gauche form (C) Fully eclipsed form Anti form (D) Partially eclipsed 64. Select correct order of stability of different forms of 1 chloro 4 iodo cyclohexane. I Cl (I) (II) I Cl Cl Cl (III) I IV > III > I > II IV > I > III > II (C) III > II > I > IV (D) II > I > III > IV 65. Which of the following statement is incorrect? Diastereomers can be chiral Diastereomers can be achiral (C) Enantiomers have similar physical and chemical properties always (D) Presence of plane of symmetry confirms optical inactivity (IV) I FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

13 PET-XV (1 ST YEAR)-019-MPC Which type of isomerism is shown by, 3 Dichlorobutane? Tautomerism Optical (C) Geometrical (D) Functional isomerism 67. Increasing order of stability among the three main confirmations of Fluoroethanol is : Eclipse, Gauche, Anti Gauche, Eclipse, Anti (C) Eclipse, Anti, Gauche (D) Anti, Gauche, Eclipse 68. Identify the relation between molecules given in Newman and Fischer projections. C 3 C 3 C 3 C 3 Identical Enantiomers (C) Diasteromers (D) Conformers 69. The given pair is C 5 C and C C 5 C 3 C 3 entiomers homomers (C) constitutional isomers(d) diastereomers 70. Which of the following compounds exhibits stereoisomerism? methylbutene 1 3 methylbutyne 1 (C) 3 methylbutanoic acid (D) methylbutanoic acid 71. The configurations of the carbon atoms C and C 3 in the following compound are respectively. COO O O CO R, R S, S (C) R, S (D) S, R FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

14 PET-XV (1 ST YEAR)-019-MPC Which of the following will not show geometrical isomerism? C 3 N=N C=C C=C C=C (C) C 3 C=N O (D) Cl Ch=C=C Cl 73. True statement(s) regarding the given molecule is/are : C -O O O O O C -O this is optically inactive If the last chiral carbon configuration is charged then it is converted from dextro to laevo. (C) By changing the configuration at C 3 or C 4 carbon, it is converted into meso compound. (D) Its all diastereomers have zero optical rotation. 74. Which of the following compounds is capable of showing geometrical, optical and conformational isomerism. C C C O C 3 C C C C Cl Cl (C) C3 C C C C O (D) C C C O 75. C O O O O C 3 Is a Fischer projection of one of stereoisomers? 4 (C) 8 (D) 1 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

15 76. Identify the most stable stereoisomer : 3 C C 3 3 C C 3 PET-XV (1 ST YEAR)-019-MPC-15 3 C C 3 C 3 3 C C 3 C 3 (C) (D) C 3 C Molecular formula of smallest ester which contain one chiral carbon is : C 4 8 O C 5 1 O (C) C 6 1 O (D) C 5 10 O 78. The compound that has the highest dipole moment is cis 1, dichloroethene trans 1, dichloroethene (C) cis 1 bromo chloroethene (D) trans 1 bromo chloroethene 79. ow many optically active stereoisomers are possible for Butane, 3 diol? 1 (C) 3 (D) A compound is chiral even if a mirror plane is present (C) a rotation axis exists a centre of inversion exists (D) an improper rotation axis is present 81. The pair of enantiomers among the following compound are : C 3 C 3 C 3 Ph Ph C 3 I Ph II III Ph IV I and IV II and IV (C) II and III (D) I and II C C C C C C is : 8. The number of stereoisomers of compound (C) 4 (D) 6 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

16 PET-XV (1 ST YEAR)-019-MPC The R/S designation for the following stereoisomer of 1, 3 Dibromo methylbutane is : C 3 C C 3 R, 3R R, 3S (C) S, 3R (D) S, 3S 84. Minimum number of carbon to show chain isomerism in alkyne 4 3 (C) 5 (D) Minimum number of carbon in organic compound to show positional isomerism is 3 (C) 4 (D) The number of Alcohols and ethers of C 5 1 O is possible respectively 8, 6 5, 6 (C) 4, 3 (D) 6, Number of structural isomers for C 6 14 is 3 4 (C) 5 (D) The following structures C 3 Cl Cl C 3 (I) (II) represent a pair of : enantiomers diastereomers (C) meso compounds (D) homomers 89. ow are the following two compounds related? O O O and O Enantiomer (C) omomer Diastereomer (D) Racemic mixture 90. ow many chiral carbon atoms are present in, 3, 4 trichloropentane.? 1 (C) 3 (D) 4 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

17 PET-XV (1 ST YEAR)-019-MPC-17 FIITJEE PET XV (REG_1 ST YEAR) MATEMATICS PYSICS CEMISTRY MAINS_SET A_ANSWERS DATE: D. D 3. D 4. B 5. A 6. B 7. C 8. A 9. D 10. A 11. D 1. A 13. C 14. D 15. C 16. A 17. D 18. B 19. A 0. B 1. D. D 3. C 4. C 5. D 6. A 7. B OR C 8. A 9. C 30. C 31. D 3. B 33. BONUS 34. A 35. A 36. B 37. B 38. BONUS 39. BONUS 40. A 41. D 4. D 43. D 44. BONUS 45. C 46. BONUS 47. A OR D 48. BONUS 49. BONUS 50. BONUS 51. BONUS 5. A 53. BONUS 54. C 55. B 56. D 57. B 58. D 59. B 60. A 61. D 6. B 63. B 64. A 65. C 66. B 67. C 68. C 69. A 70. D 71. A 7. D 73. C 74. A 75. C 76. BONUS 77. D 78. A 79. B 80. C 81. C 8. C 83. A 84. C 85. A OR B OR C 86. A 87. C 88. D 89. B 90. B OR C FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

18 PET-XV (1 ST YEAR)-019-MPC-18 FIITJEE PET XV (REG_1 ST YEAR) MAINS_SET B DATE: Time: 3 hours Maximum Marks: 360 INSTRUCTIONS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted. 3. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENROLLMENT NO.: FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

19 PET-XV (1 ST YEAR)-019-MPC-19 is 1. Range of f (x) = cos x 9 [ 1, ] [1, 0] (C) (0, 1) (D) [1, ]. The range of the function f(x) = 4 x + x + 4 x + x + 3 is [3/4, ) (3/4, ) (C) (7, ) (D) [7, ) 3. Find the value of x satisfying the equation log x x 1x 36 = 4 (C) 4 (D) none of these 4. Find the value of x, satisfying log a (1 + log b (1 + log c (1 + log p x))) = (C) 1 (D) 1 5. Solve x, if log 81 3 = for x > 0 x 4 5 (C) 7 (D) x y z 6. Find the value of log log log. yz zx xy 0 x (C) x + y + z (D) 7z 7. If log k x.log 5 k = log x 5, k 1, k > 0, then x is equal to k 1 5 (C) 5 (D) none of these 8. If ( x ) (3 x + 4 ) = 7 x, then x is equal to 4log3 4log3 log7 log6 log6 log7 (C) log3 log7 log6 (D) none of these 9. The value of 1 1 log31 log41 is equal to 0 1 (C) 1 (D) FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

20 PET-XV (1 ST YEAR)-019-MPC The solution of the equation log 7log5 x x 5 = 0 is x = x = 3 (C) x = 4 (D) x = 11. If f(x) is a function such that f(x + y) = f(x) + f(y) and f(1) = 7, then 7n 7 n 1 n f(r) = r1 (C) 7n (n + 1) (D) 7n(n 1) The function y = f(x) satisfying the condition f x x 3 x is x f(x) = x f(x) = x (C) f(x) = x + (D) f(x) = x 3 3x The domain of f(x) = log10 x x 3 4 x (1, ) ( 1, 0) (1, ) (C) (1, ) (, ) (D) ( 1, 0) (1, ) (, ) If f: R R is defined by f(x) = cos3x 1 1,1 3,1 3 is for each x R, then the range of f is (C) (1, ) (D) [1, ] 15. If f(x) = y, y = x 1 and range of y is {y : 0 < y < 5}, then domain = 1 x : x 1 {x : 1 < x < 1} (C) {x : 0 < x < 10} (D) none of these 16. If f: R S, defined by f(x) = sin x 3 cos x + 1, is onto, then the interval of S is [0, 3] [ 1, 3] (C) [0, 1] (D) [ 1, 1] 17. If f(x) = 4x 1, if x > 4; = x, if x 3; 11 3 = 3x + 4, if x < ; then 3 11 f 3 f 5 f 0 f 1 f f 1 f 5 f 3 (C) = 11 (D) FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

21 4 cos x sin x 18. If f(x) = for x R, then f(00) = 4 sin x cos x 1 (C) 3 (D) If f: R R is defined by f(x) = x + x, then f(3x) f( x) 4x = f(x) f(x) (C) f( x) (D) f(x) PET-XV (1 ST YEAR)-019-MPC-1 0. If f(a) = 1 a log 1 a a for 0 < a < 1, then f 1 a = f(a) f(a) (C) 1 f(a) (D) f(a) 1. The shaded area in the figure is A B A B (C) B A (D) none of these A B. The shaded area in the figure is A (B C) A (B C) (C) A (B C) (D) A (B C) A B C 3. Domain of function f(x) = 5 ( 3, ) [0, 1] 1 x log 1 x 10 1 is (C) [, 1) {0} (D) none of these 4. If log 4 5 = a and log 5 6 = b, then log 3 is equal to 1 1 a 1 b 1 (C) ab + 1 (D) 1 ab 1 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

22 PET-XV (1 ST YEAR)-019-MPC- sin x cos x 3 5. The range of h(x) = log is [ 1, ] [ 1, ] (C) [1, ] (D) [1, ] 6. Find the range of the function f(x) = x 1 x. 3, 6 3,6 (C) [3, 6] (D) 3, 6 7. If log 4 + log log 4 x + log 4 16 = 6, then x is 64 4 (C) 8 (D) 3 tan x 8. If f 1 tan x = (1 cos x) (sec x tan x), then find f(sin x) sin x 1 1 (C) 0 (D) none of these 9. The range of y = 3 one element (C) the function is undefined log cos sinx contain(s) infinitely many elements (D) none of these 30. The value of x for log 1/3 x x < 1 lies in (0, 1) (1, ) (0, 1) (, ) (C) (0, 1) [, ) (D) (0, 1] [, ) 31. A smooth uniform rod of length L and mass M has two identical beads of negligible size, each of mass m, which can slide freely along the rod. Initially, the two beads are at the centre of the rod and the system is rotating with angular velocity 0 about an axis perpendicular to rod and passing through the midpoint of rod. There are no external forces. When the beads reach the ends of the rod the angular velocity of the system is M M 3m 0 M M 6m 0 (C) M 6m M L 0 (D) 0 C 0 L M FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

23 PET-XV (1 ST YEAR)-019-MPC-3 3. One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is: 3 mg 5 mg (C) 3 mg (D) 5 mg 33. A disc of mass M and radius R moves in the x-y plane as shown in the figure. The magnitude of angular momentum of the disc at the instant shown is: (a) 5 mr about O (c) 1 3 mr about A (b) 7 mr about O (d) 4 mr about A 34. A plank is hinged on horizontal surface at point A as shown in figure, find angular velocity of plank about point A at instant given in figure. Solid sphere only translates with velocity v and radius of sphere is R. v sin v cos R R (C) v sin R (D) v sin R 35. A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and normal to its length; then L = R L = 3 R (C) L = R/ 3 (D) L = 0 FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

24 PET-XV (1 ST YEAR)-019-MPC The moment of inertia of a hollow sphere with a concentric spherical cavity about an axis passing through centre is 1 MR, then its radius of gyration about a parallel axis at a distance R from first axis is 5R /5 R (C) Will depend upon radius of cavity (D) None 37. Moment of inertia of a uniform annular disc of internal radius r and external radius R and mass M about an axis through its centre and perpendicular to its plane is 1 M(R r ) 1 M(R + r M(R r ) 1 M(R r ) ) (C) (D) (R r ) (R r ) 38. A wire of length l and mass m is bent in the form of a rectangle ABCD with AB =. The moment of BC inertia of this wire frame about the side BC is: 11 5 ml 8 03 ml (C) ml (D) 7 16 ml 39. A uniform semicircular ring of mass m and radius r is hinged at end A so that it can rotate freely about end A in the vertical plane as shown in the figure. The angle made by the line AB with vertical in the equilibrium position is 1 0 tan 1 (C) tan 1 (D) tan 40. A spool of mass M and radius R lies on an inclined plane as shown in figure. A light thread is wound around the connecting rube of the spool and its free end carries a weight of mass m. The value of m so that system is in equilibrium is A B M sin M sin (C) M tan (D) M cos FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

25 PET-XV (1 ST YEAR)-019-MPC The moment of inertia of a thin hollow cylinder of radius R, length L and mass M about an axis passing through its centre of mass and normal to its length is 1 / 1 ML ¼ ML (C) M L R 1 4 (D) M L R 1 4. Three identical uniform rods each of length 1 m and mass kg are arranged to form an equilateral triangle. What is the moment of inertia of the system about an axis passing through one corner and perpendicular to the plane of the triangle? 4 kg-m 3 kg-m (C) kg-m (D) 3 / kg-m 43. An equilateral triangle ABC formed from a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along AB and other along AC as shown. Neglecting frictional effects, the quantities that are conserved as beads slides down are: angular velocity and total energy (kinetic and potential) total angular momentum and total energy (C) angular velocity and moment of inertia about the axis of rotation (D) total angular momentum and moment of inertia about the axis of rotation 44. Two particles of masses m 1 and m are connected by a rigid massless rod of length r to constitute a dumb-bell which is free to move in the plane. The moment of inertia of the dumb-bell about an axis perpendicular to the plane passing through the centre of mass is m m r m 1 m 1 ( m m ) r (C) 1 m m r m 1 m 1 (D) ( m m ) r Figure shows a uniform solid block of mass M and edge lengths a, b and c. Its M.I. about an axis through one edge and perpendicular (as shown) to the large face of the block is M M (a + b ) (a + b ) 3 4 (C) 7 M M (a + b ) (D) (a + b ) 1 1 A a B O D b c C FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

26 PET-XV (1 ST YEAR)-019-MPC Figure shows a thin metallic triangular sheet ABC. The mass of the A l B sheet is M. The moment of inertia of the sheet about side AC is Ml /18 Ml 90 o /1 (C) Ml /6 (D) Ml /4 l C 47. A particle of mass m = 5 units is moving with a uniform speed v = 3 m in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum about origin is zero 60 unit (C) 7.5 unit (D) 40 unit 48. The moment of inertia of a solid flywheel about its axis is 0.1 kg-m. A tangential force is applied round the circumference of the flywheel with the help of a string and mass arrangement as shown in the figure. The string doesn t slip. If the radius of the wheel is 0.1 m, find the angular acceleration of the flywheel rad/sec 16.3 rad/sec (C) rad/sec (D) none of these 0.1m kg W = Mg 49. Two men each of mass m stand on the rim oft horizontal circular disc, diametrically opposite to each other. The disc has a mass M and is free to rotate about a vertical axis passing through its centre of mass. Each mass start simultaneously along the rim clockwise and reaches their original starting positions on the disc. The angle truned through by the disc with respect to the ground (in radian) is: 8m 4m M m 4m M (C) m M m (D) 4m M m 50. If vector F be a force acting on a particle having the position vector r and be the torque of this force about the origin, then r. = 0 and F. = 0 r. = 0 and F. 0 (C) r. 0 and F. 0 (D) r. 0 and F For the same total mass which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body a disc of radius R a ring of radius R (C) a square lamina of side R (D) four rods forming a square of side R FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

27 PET-XV (1 ST YEAR)-019-MPC-7 5. The moment of inertia of hollow sphere (mass M) of inner radius R and outer radius R, having material of uniform density, about a diametric axis is 31MR 43MR 19MR (C) (D) none of these Let I 1 and I be the moment of inertia of a uniform square plate about axes shown in the figure. Then the ratio I 1 : I is 1 1 : 1 7 (C) 1 : : 1 7 (D) 1 : A circular platform is mounted on a vertical frictionless axle. Its radius is r = m and its moment of Inertia is I = 00 kg-m. It is initially at rest. A 70 kg man stands on the edge of the platform and begins to walk along the edge at speed v 0 = 1.0 m/s relative to the ground. The angular velocity of the platform is: 1. rad/s 0.4 rad/s (C).0 rad/s (D) 0.7 rad/s 55. A homogeneous disc with a radius 0. m and mass 5 kg rotates around an axis perpendicular to its plane and passing through its centre. The angular velocity of the rotation of the disc as a function of time is given by the formula = + 6t. The tangential force applied to the rim of the disc is 1 N N (C) 3 N (D) 4 N 56. A uniform rod of mass m and length is hinged at O as shown in the figure. A particle of mass m strikes the extreme end of rod and sticks to it. The angular momentum of the system can be conserved about point O centre of mass of the rod (C) centre of mass of rod and particle system (D) any point in inertial frame m O 57. A uniform metre stick of mass 00 g is suspended from the ceiling through two vertical strings of equal lengths fixed at the ends. A small object of mass 0 g is placed on the stick at a distance of 70 cm from the left end. The tensions in the two strings are 1.04 N in the left string and 1.1 N in the right.04 N in the right string and 1.1 N in the left (C).0 N in the left string and 3.0 N in the right (D) none of these FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

28 PET-XV (1 ST YEAR)-019-MPC Average torque on a projectile of mass m, Initial speed is and angle of projection between Initial and final positions P and Q as shown in figure about the point of projection is: mu sin mu cos (C) mu mu cos sin (D) 59. Two cylinders having radii R and R and moment of inertias 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity 0. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this angular momentum of system is conserved kinetic energy is conserved (C) neither the angular momentum nor the kinetic energy is conserved (D) both the angular momentum and kinetic energy are conserved 60. A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle its angular velocity at that instance is given is (C) 6g sin L 1g sin L (D) None 6g cos L A L B B A 61. The pair of enantiomers among the following compound are : C 3 C 3 C 3 Ph Ph C 3 I Ph II III Ph IV I and IV II and IV (C) II and III (D) I and II FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

29 C C C C C C is : 6. The number of stereoisomers of compound (C) 4 (D) 6 PET-XV (1 ST YEAR)-019-MPC The R/S designation for the following stereoisomer of 1, 3 Dibromo methylbutane is : C 3 C C 3 R, 3R R, 3S (C) S, 3R (D) S, 3S 64. Minimum number of carbon to show chain isomerism in alkyne 4 3 (C) 5 (D) Minimum number of carbon in organic compound to show positional isomerism is 3 (C) 4 (D) The number of Alcohols and ethers of C 5 1 O is possible respectively 8, 6 5, 6 (C) 4, 3 (D) 6, Number of structural isomers for C 6 14 is 3 4 (C) 5 (D) The following structures C 3 Cl Cl C 3 (I) (II) represent a pair of : enantiomers diastereomers (C) meso compounds (D) homomers FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

30 PET-XV (1 ST YEAR)-019-MPC ow are the following two compounds related? O O O and O Enantiomer (C) omomer Diastereomer (D) Racemic mixture 70. ow many chiral carbon atoms are present in, 3, 4 trichloropentane.? 1 (C) 3 (D) Which of the following has highest number of geometrical isomers. CCO (C) (D) Cl 7. Total number of position isomers of trichlorocyclohexane which can show geometrical isomerism. 3 (C) 4 (D) The most stable form of meso tartaric acid is Gauche form (C) Fully eclipsed form Anti form (D) Partially eclipsed FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

31 PET-XV (1 ST YEAR)-019-MPC Select correct order of stability of different forms of 1 chloro 4 iodo cyclohexane. I Cl (I) (II) I Cl Cl Cl (III) I IV > III > I > II IV > I > III > II (C) III > II > I > IV (D) II > I > III > IV 75. Which of the following statement is incorrect? Diastereomers can be chiral Diastereomers can be achiral (C) Enantiomers have similar physical and chemical properties always (D) Presence of plane of symmetry confirms optical inactivity 76. Which type of isomerism is shown by, 3 Dichlorobutane? Tautomerism Optical (C) Geometrical (D) Functional isomerism 77. Increasing order of stability among the three main confirmations of Fluoroethanol is : Eclipse, Gauche, Anti Gauche, Eclipse, Anti (C) Eclipse, Anti, Gauche (D) Anti, Gauche, Eclipse 78. Identify the relation between molecules given in Newman and Fischer projections. C 3 C 3 C 3 C 3 Identical Enantiomers (C) Diasteromers (D) Conformers (IV) I FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

32 PET-XV (1 ST YEAR)-019-MPC The given pair is C 5 C and C C 5 C 3 C 3 entiomers homomers (C) constitutional isomers(d) diastereomers 80. Which of the following compounds exhibits stereoisomerism? methylbutene 1 3 methylbutyne 1 (C) 3 methylbutanoic acid (D) methylbutanoic acid 81. The configurations of the carbon atoms C and C 3 in the following compound are respectively. COO O O CO R, R S, S (C) R, S (D) S, R 8. Which of the following will not show geometrical isomerism? C 3 N=N C=C C=C C=C (C) C 3 C=N O (D) Cl Ch=C=C Cl 83. True statement(s) regarding the given molecule is/are : C -O O O O O C -O this is optically inactive If the last chiral carbon configuration is charged then it is converted from dextro to laevo. (C) By changing the configuration at C 3 or C 4 carbon, it is converted into meso compound. (D) Its all diastereomers have zero optical rotation. FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

33 PET-XV (1 ST YEAR)-019-MPC Which of the following compounds is capable of showing geometrical, optical and conformational isomerism. C C C O C C C C C Cl Cl (C) C3 C C C C O (D) C C C O C O O O O C 3 Is a Fischer projection of one of stereoisomers? 4 (C) 8 (D) Identify the most stable stereoisomer : 3 C C 3 3 C C 3 3 C C 3 C 3 3 C C 3 C 3 (C) (D) C 3 C Molecular formula of smallest ester which contain one chiral carbon is C 4 8 O C 5 1 O (C) C 6 1 O (D) C 5 10 O 88. The compound that has the highest dipole moment is cis 1, dichloroethene trans 1, dichloroethene (C) cis 1 bromo chloroethene (D) trans 1 bromo chloroethene 89. ow many optically active stereoisomers are possible for Butane, 3 diol? 1 (C) 3 (D) A compound is chiral even if a mirror plane is present (C) a rotation axis exists a centre of inversion exists (D) an improper rotation axis is present FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

34 PET-XV (1 ST YEAR)-019-MPC-34 FIITJEE PET XV (REG_1 ST YEAR) MATEMATICS PYSICS CEMISTRY MAINS_SET B_ANSWERS DATE: D. D 3. C 4. C 5. D 6. A 7. B OR C 8. A 9. C 10. C 11. D 1. D 13. D 14. B 15. A 16. B 17. C 18. A 19. D 0. A 1. D. A 3. C 4. D 5. C 6. A 7. D 8. B 9. A 30. B 31. BONUS 3. A 33. BONUS 34. C 35. B 36. D 37. B 38. D 39. B 40. A 41. D 4. B 43. BONUS 44. A 45. A 46. B 47. B 48. BONUS 49. BONUS 50. A 51. D 5. D 53. D 54. BONUS 55. C 56. BONUS 57. A OR D 58. BONUS 59. BONUS 60. BONUS 61. C 6. C 63. A 64. C 65. A OR B OR C 66. A 67. C 68. D 69. B 70. B OR C 71. D 7. B 73. B 74. A 75. C 76. B 77. C 78. C 79. A 80. D 81. A 8. D 83. C 84. A 85. C 86. BONUS 87. D 88. A 89. B 90. C FIITJEE (yderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) yderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) uda Park, Vijaynagar Colony, Kukatpally, yderabad Ph : FIITJEE Limited. Plot No. 39A, (Opp. Sashi ospital), Gaddiannaram, Dilsukhnagar, yderabad, Ph:

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