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  FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai  , Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942   website: www.fiitjee.com   FULL TEST – VII Time Allotted: 3 Hours Maximum Marks: 360   Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.   You are not allowed to leave the Examination Hall before the end of the test. INSTRUCTIONS  A. General Instructions 1. Attempt ALL the questions. Answers have to be marked on the OMR sheets. 2. This question paper contains Three Parts. 3. Part-I  is Physics, Part-II  is Chemistry and Part-III is Mathematics. 4. Each part has only one section: Section-A .   5. Rough spaces are provided for rough work inside the question paper. No additional sheets will be provided for rough work. 6. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed. B. Filling of OMR Sheet 1. Ensure matching of OMR sheet with the Question paper before you start marking your answers on OMR sheet. 2. On the OMR sheet, darken the appropriate bubble with black pen for each character of your Enrolment No. and write your Name, Test Centre and other details at the designated places. 3. OMR sheet contains alphabets, numerals & special characters for marking answers. C. Marking Scheme For All Three Parts. 1. Section-A (01 – 30, 31 – 60, 61 – 90) contains 90 multiple choice questions which have only one correct answer  . Each question carries +4 marks for correct answer and  –1 mark for wrong answer.   Name of the Candidate Enrolment No.      A   L   L   I   N   D   I   A    T   E   S   T   S   E   R   I   E   S   FIITJEE   JEE (Main)-2018   downloaded from jeemain.guru JEEMAIN.GURU   AITS-FT-VII-PCM-JEE(Main)/18 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai  , Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942   website: www.fiitjee.com   2  Useful Data PHYSICS Acceleration due to gravity g = 10 m/s 2 Planck constant h = 6.6  10  34  J-s Charge of electron e = 1.6   10  19 C Mass of electron m e  = 9.1   10  31  kg Permittivity of free space  0  = 8.85   10  12 C 2 /N-m 2 Density of water  water   = 10 3  kg/m 3  Atmospheric pressure P a  = 10 5 N/m 2  Gas constant R = 8.314 J K  1  mol  1 CHEMISTRY   Gas Constant R = 8.314 J K  1  mol  1  = 0.0821 Lit atm K  1 mol  1  = 1.987   2 Cal K  1 mol  1  Avogadro's Number N a  = 6.023   10 23  Planck’s constant h = 6.625   10  34 J  s = 6.625   10  –27  erg  s 1 Faraday = 96500 coulomb 1 calorie = 4.2 joule 1 amu = 1.66   10  –27 kg 1 eV = 1.6   10  –19  J Atomic No: H=1, He = 2, Li=3, Be=4, B=5, C=6, N=7, O=8, N=9, Na=11, Mg=12, Si=14, Al=13, P=15, S=16, Cl=17, Ar=18, K =19, Ca=20, Cr=24, Mn=25, Fe=26, Co=27, Ni=28, Cu = 29, Zn=30, As=33, Br=35, Ag=47, Sn=50, I=53, Xe=54, Ba=56, Pb=82, U=92. Atomic masses: H=1, He=4, Li=7, Be=9, B=11, C=12, N=14, O=16, F=19, Na=23, Mg=24, Al = 27, Si=28, P=31, S=32, Cl=35.5, K=39, Ca=40, Cr=52, Mn=55, Fe=56, Co=59, Ni=58.7, Cu=63.5, Zn=65.4, As=75, Br=80, Ag=108, Sn=118.7, I=127, Xe=131, Ba=137, Pb=207, U=238.   downloaded from jeemain.guru JEEMAIN.GURU   AITS-FT-VII-PCM-JEE(Main)/18 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942   website: www.fiitjee.com   3 PPhh y  y  s si i c c  s s   PART – I  SECTION – A   Straight Objective Type This section contains 30 multiple choice questions . Each question has four choices  (A), (B), (C) and (D), out of which ONLY ONE option is correct. 1. A particle moves along a circle of radius ‘R’ with speed varies as v = a 0 t, where a 0  is a positive constant. Then the angle between the velocity vector and the acceleration vector of the particle when it has covered one fourth of the circle is (A)       1 tan4 (B) 1 tan2        (C)   1 tan    (D)   1 tan2    2. Two blocks A and B of masses 2 kg and 8 kg respectively are kept in contact and pressed against a rough vertical wall by applying a horizontal force F = 50 N as shown. The frictional force acting between the two blocks is (A) zero (B) 6N (C) 8 N (D) 10 N 8 kg    A   2 kg   50N = F    s  = 0.3    k  = 0.2   B    s  = 0.7    k  = 0.6   3. A small body of mass ‘m’ is placed at the top of a smooth sphere of radius ‘R’ placed on a horizontal surface as shown. Now the sphere is given a constant horizontal acceleration a 0  = g. The velocity of the body relative to the sphere at the moment when it loses contact with the sphere is (A) gR3  (B) 2gR3  (C) 5gR3  (D) 7gR3   R   a 0  = g   m   Space for rough work downloaded from jeemain.guru JEEMAIN.GURU   AITS-FT-VII-PCM-JEE(Main)/18 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942   website: www.fiitjee.com   4   4. A ball of mass m is attached to the lower end of a vertical string whose upper end is fixed. An identical ball ‘B’ moving with a velocity v 0  = 6 m/s at an angle   = 45   from vertical collides elastically with the ball ‘A’ as shown. The velocity of the ball ‘B’ just after collision is (A) 5 m/s (B) 4 m/s (C) 3 m/s (D) 2 m/s = 45   v 0 = 6 m/s   B   m   m    A   5. A thin uniform spherical shell of mass m = 2 kg and radius R = 10 cm is placed on a rough horizontal surface with a coefficient of friction   = 0.4. A horizontal force ‘F’ is applied to the spherical shell at a height R/3 above the centre as shown. The maximum magnitude of the applied force ‘F’ for which the spherical shell will be rolling without slipping is (take g = 10 m/s 2 ) (A) 20 N (B) 30 N m, R   = 0.4   R/3   F   (C) 40 N (D) 60 N 6. A block of mass 2 kg is kept on a truck moving with a constant acceleration. The height ‘h’ of the block is 60 cm and its width ‘w’ is 15 cm. The surface between the block and the truck is sufficiently rough to prevent slipping. The minimum acceleration of the truck at which the block will topple is (take g = 10 m/s 2 ) a w h (A) 2.5 m/s 2  (B) 3.5 m/s 2  (C) 4.5 m/s 2  (D) 5.5 m/s 2   Space for rough work downloaded from jeemain.guru JEEMAIN.GURU
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