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Sri Chaitanya IIT Academy, India GRAND TEST-6 Sri Chaitanya IIT Academy, India A.P, TELANGANA, KARNATAKA, TAMILNADU, MAHARASHTRA, DELHI, RANCHI A right Choice for the Real Aspirant ICON CENTRAL OFFICE, MADHAPUR-HYD Sec: Sr.IPLCO/IC/ISB/LIIT Dt: 24-04-16 Time: 09:00 AM to 12:00 Noon Max.Marks: 222 Name of the Student: ___________________ I.D. NO: PAPER-I 24-04-16_ Sr.IPLCO/IC/ISB/LIIT_GTA-6_Weekend Syllabus Mathematics : Total Syllabus Physics : Total Syllabus Chemistry : Total Syllabus Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper JEE-ADVANCED-New Model -3–P1 Time: 09.00 AM to 12.00 Noon IMPORTANT INSTRUCTIONS Max Marks: 222 PHYSICS: +Ve - Ve No.of Total Section Question Type Marks Marks Qs marks Sec – I(Q.N : 1 – 10) Questions with Single Correct Choice 4 -2 10 40 Questions with Comprehension Type Integer Sec – II(Q.N : 11 – 16) (3 Comprehensions – 2 +2+2 = 6Q) 3 -1 6 18 Sec – III(Q.N : 17 – 20) Matrix Matching Type 4 -2 4 16 Total 20 74 MATHEMATICS: +Ve - Ve No.of Total Section Question Type Marks Marks Qs marks Sec – I(Q.N : 21 – 30) Questions with Single Correct Choice 4 -2 10 40 Questions with Comprehension Type Integer Sec – II(Q.N : 31 – 36) (3 Comprehensions – 2 +2+2 = 6Q) 3 -1 6 18 Sec – III(Q.N : 37 – 40) Matrix Matching Type 4 -2 4 16 Total 20 74 CHEMISTRY: +Ve - Ve No.of Total Section Question Type Marks Marks Qs marks Sec – I(Q.N : 41 – 50) Questions with Single Correct Choice 4 -2 10 40 Questions with Comprehension Type Integer Sec – II(Q.N : 51 – 56) (3 Comprehensions – 2 +2+2 = 6Q) 3 -1 6 18 Sec – III(Q.N : 57 – 60) Matrix Matching Type 4 -2 4 16 Total 20 74 Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 2 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper PHYSICS Max Marks : 74 Section-1 (Only one Option correct Type) This section contains 10 Multiple Choice questions. Each Question has Four choices (A), (B), (C) and (D). Out of Which Only One is correct 1. Prem and Kumar are playing tug-of-war. Prem wins, pulling Kumar into mud. Why did Prem win? A) Prem exerted a greater horizontal component of force on the rope than Kumar exerted. B) The rope exerted a greater horizontal component of force on Kumar than it exerted on Prem. C) Prem exerted a greater horizontal component of force on the ground than Kumar exerted. D) All of the above. 2. An equilateral triangular plate, sides of length b, has a triangle, formed by two corners and the centre of gravity of the original plate, removed. Determine the distance of centre of gravity of the remaining plate from the base of removed triangle. 2 1 b b b 2b 3 3 3 3 3 A) B) C) 3 D) Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 3 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper 3. Which of the following statements about X - rays is incorrect? A) EEEEEKLKMK (E indicates the energy of photon) B) For the harder X-rays, the intensity is always higher than soft X-rays C) The continuous and characteristic X-rays differ only in the method of creation D) The cut-off wavelengthmin , depends only on the accelerating voltage applied between the target and the filament. 4. Two hollow-core solenoids, A and B, are connected by a wire and separated by a large distance, as shown in the diagram. Two bar magnets, 1 and 2, are suspended just above the solenoids. If the magnet 1is dropped through solenoid A as shown, then the magnet 2 will simultaneously be A) Attracted by a magnetic force towards solenoid B B) Repelled by a magnetic force away from solenoid B C) Repelled by an electric force away from solenoid B D) Unaffected by solenoid B. Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 4 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper 5. A non-standard vernier callipers has 10 V.S.D coinciding with 7 M.S.D, with each M.S.D equal to 1 mm. The scale has a maximum measurable length of 100 MSD. If 14th M.S.D. is found to coincide with 4th V.S.D, where does the zero of vernier lie? Assume no zero error. A) Between 10th and 11th M.S.D. B) Between 11th and 12th M.S.D. C) Between 9th and 10th M.S.D. D) Exactly on the 10th MSD 6. Given system is released from rest at the position shown in figure . Later on B collides with A and the collision is head on and elastic .After collision A attains maximum height 1.25 m from its initial position. The value of m0 is A) 10 kg B) 2 kg C) 8 kg D) 5 Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 5 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper 7. Which of the following statement is incorrect. A) An object at the focus of a convex lens always produces image at infinity. B) Newton’s second law is not valid in non-inertial frame of reference. C) The velocity of a charged particle may not be always along the direction of applied field. D) In a standing wave formed on a string, in fundamental mode, there is at least a point on string which always has zero potential energy change all the time. 8. A ray is incident on the first prism at an angle of incidence 53º as shown in the figure. The angle between side CA and BA for the net deviation by both the prisms to be double of the deviation produced by the first prism, can be 1 2 1 2 1 2 1 2 A) 2sin B) sin C) cos D) 2cos 3 3 3 3 Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 6 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper 9. The streamline flow of a viscous liquid through a capillary tube of radius r due dp to a pressure gradient applied across the tube can be measured by its dx dp volume flow rate Q, which is given by Q C1 r , where C1,,, , are dx dimensionless constants and is the coefficient of viscosity of the liquid. A viscous liquid flows in a streamlined manner through a capillary tube A of radius r, the pressure gradient across it being P , and the corresponding volume flow rate being Q. If the same liquid flows in a streamline through another capillary r tube B of radius , and the pressure gradient across this tube is 2P , the 2 volume flow rate through this tube is Q Q A)4Q B) Q C) D) 4 8 10. Five bulbs A,B,C,D and E with power ratings 50W, 75W, 40 W ,60W and 100 W respectively , at household supply are connected as shown in figure .Which bulb will consume least power (Neglect variation of resistance with temperature) A) B B) C C) D D) E Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 7 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper Section-2 (Paragraph Type With Integer ) This section contains 6 Integer Type questions relating to three paragraphs with two questions on each paragraph. The answer to each of the questions is a single-digit integer, ranging from 0 to 9. For each question you will be awarded 3 marks if you darken ONLY the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. In all other cases, minus one (-1) mark will be awarded Paragraph for Questions 11 & 12: Steinmetz Solid is the name given to the shape formed from the intersection of two right circular cylinders. Assume the axis of two cylinders are perpendicular. The material density is uniform. Each Cylinder is made of material of density 6 -3 10 kgm and radius R 3 cm . The region of intersection of the two cylinders is considered as shown in figure ii. Fig: i Fig : ii Sec: Sr.IPLCO/IC/ISB/LIIT space for rough work Page 8 Sri Chaitanya IIT Academy 24-04-16_ Sr.IPLCO/IC/ISB/LIIT _JEE-ADV_(New Model-3_P1)_GTA-6_Q’Paper 11. The mass of the portion formed as shown in fig-ii is 24 x kg. Find x. 12. The moment of inertia of the shape formed in Fig. ii, about the axis perpendicular to the axis of both the cylinders and passing through the point of 2 intersection of the natural axis cylinders is 1920 x kg mm . Find x. Paragraph for Questions 13 & 14: A positive point charge of charge q 1C and mass m 0.2 kg is projected perpendicular to a uniform constant magnetic field B 2 T which is present all over the space. The magnetic field is directed into the plane of the paper. A rigid elastic wall is present at an angle of 60 to the imaginary dotted line as shown in figure.
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