JEE Main Exam Model Question Paper 2016 : Central Board Of Secondary Education

Name of the board : Central Board Of Secondary Education
Subject : JEE(Main)- 2016
Document Type : Model Question Paper

Website : http://jeemain.nic.in/webinfo/QuestionPapers2016.htm

Download Model Question Paper :
03.04.2016 Set E : https://www.pdfquestion.in/uploads/8899-SetE.pdf
03.04.2016 Set F : https://www.pdfquestion.in/uploads/8899-SetF.pdf
03.04.2016 Set G : https://www.pdfquestion.in/uploads/8899-SetG.pdf
03.04.2016 Set H : https://www.pdfquestion.in/uploads/8899-SetH.pdf
09.04.2016 : https://www.pdfquestion.in/uploads/8899-09.04.pdf
10.04.2016 : https://www.pdfquestion.in/uploads/8899-10.04..pdf

JEE Main Exam Model Question Paper 2016 :

Paper – 1 : Physics, Chemistry & Mathematics

Instruction :
1. Immediately fill in the particulars on this page of the Test Booklet with only Blue / Black Ball Point Pen provided by the Board.

Related : JEE Main Question Paper Sample :  www.pdfquestion.in/18.html

2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particulars carefully.
3. The test is of 3 hours duration.
4. The Test Booklet consists of 90 questions. The maximum marks are 360.
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics having 30 questions in each part of equal weightage.Each question is allotted 4 (four) marks for correct response.

6. Candidates will be awarded marks as stated above in instruction No. 5 for correct response of each question. ¼ (one fourth) marks ill be deducted for indicating incorrect response of each question.No deduction from the total score will be made if no response is indicated for an item in the answer sheet.

7. There is only one correct response for each question. Filling up more than one response in any question will be treated as wrong response and marks for wrong response will be deducted accordingly as per instruction 6 above.
8. For writing particulars/marking responses on Side-1 and Side–2 of the Answer Sheet use only Blue/Black Ball Point Pen provided by the Board.

Part A — Physics :
1. A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be
(1) 92±2 s
(2) 92±5.0 s
(3) 92±1.8 s
(4) 92±3 s

2. A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure

3. A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals µ. The particle is released, from rest, from the point P and it comes to rest at a point R. The energies, lost by the ball, over the parts, PQ and QR, of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR.
(1) 0.2 and 6.5 m
(2) 0.2 and 3.5 m
(3) 0.29 and 3.5 m
(4) 0.29 and 6.5 m

4. (1) turn left.
(2) turn right.
(3) go straight.
(4) turn left and right alternately.

5. A pendulum clock loses 12 s a day if the temperature is 408C and gains 4 s a day if the temperature is 208C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion(a) of the metal of the pendulum shaft are respectively
(1) 258C; a=1.85×10-5/8C
(2) 608C; a=1.85×10-4/8C
(3) 308C; a=1.85×10-3/8C
(4) 558C; a=1.85×10-2/8C

6. ‘n’ moles of an ideal gas undergoes a rocess A®B as shown in the figure. The maximum temperature of the gas during the process will be

7. ‘n’ moles of an ideal gas undergoes a process A®B as shown in the figure. The maximum temperature of the gas during the process will be
(1) 41/3 A
(2) 3A /
(3) A 3
(4)7/ 3A

8. A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=C ln(BD) holds true. Then which of the combination is not a meaningful quantity ?
(1) A2 – B2C2
(2) (A C)/ D
(3) A C/ B
(4) 2C AD/BD C

9. A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2 R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :
(1) M n2 R2 t
(2) M n R2 t
(3) M n R2 t2
(4) 2 M n2 R2 t2

10. Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :
(1) 0.4
(2) 1.3
(3) 8.0
(4) 27.0

11. Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motion is :
(1) 12000 J
(2) -12000 J
(3) -4500 J
(4) -9300 J

12. In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then BC/AB is close to
(1) 1.85
(2) 1.37
(3) 1.5
(4) 3

13. 6. An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth’s surface. The radius of the earth is R, while its mass is M. The gravitational pull FG on the astronaut is :
(1) Zero since astronaut feels weightless
(2) 0 < < G 2 /GMm FR
(3) < < ( )2 2/ G GMm GMm F/ R+h R
(4) Fg/GNm

14. A bottle has an opening of radius a and length b. A cork of length b and radius (a+?a) where (?a<<a) is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional coefficient between the bottle and cork is µ then the force needed to push the cork into the bottle is :
(1) (pµB b) a
(2) (2pµB b) a
(3) (pµB b) a
(4) (4pµB b) a

15. 8. A Carnot freezer takes heat from water at 08C inside it and rejects it to the room at a temperature of 278C. The latent heat of ice is 336×103 J kg-1. If 5 kg of water at 08C is converted into ice at 08C by the freezer, then the energy consumed by the freezer is close to :
(1) 1.67×105 J
(2) 1.68×106 J
(3) 1.51×105 J
(4) 1.71×107 J