FIITJEE - JEE (Mains)

1 F I IT J E E L t d , B 4 , S ec 1 6, No i d a ( U. P ), 2 0 1 3 0 1, P h : 01 2 0 - 3 1 0 5 0 0 5, 47 5 4 8 0 0, F ax : 0 1 2 0 - 42 7 1 2 1 4 CPA C-LOT BATCH PHYSICS, CHEMISTRY & MATHEMATICS JEE - MAINS 2014 PHASE I SET - A Time Allotted: 3 Hours Maximum Marks: 360 Do not open this Test Booklet until you are asked to do so. Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. Important Instructions: 1. Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen.

2 Use of pencil is strictly prohibited. 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.

3 6. Candidates will be awarded marks as stated above in instruction for correct response of each question. (one fourth) marks will 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. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of the Answer Sheet.

4 Use of pencil is strictly prohibited. 9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 11. Do not fold or make any stray marks on the Answer Sheet. Name of the Candidate (in Capital Letters) :_____ Enrolment Number :_____ Batch :_____ Date of Examination : _____ FIITJEE - JEE (Mains) JEE-MAINS (2014)-CPA-PHASE-1-PCM-2 F I IT J E E L t d , B 4 , S ec 1 6, No i d a ( U.)

5 P ), 2 0 1 3 0 1, P h : 01 2 0 - 3 1 0 5 0 0 5, 47 5 4 8 0 0, F ax : 0 1 2 0 - 42 7 1 2 1 4 Useful Data Chemistry: Gas Constant R = J K 1 mol 1 = Lit atm K 1 mol 1 = 2 Cal K 1 mol 1 Avogadro's Number Na = 1023 Planck s Constant h = 10 34 Js = x 10-27 1 Faraday = 96500 Coulomb 1 calorie = Joule 1 amu = x 10-27 kg 1 eV = x 10-19 J Atomic No : H=1, D=1, Li=3, Na=11, K=19, Rb=37, Cs=55, F=9, Ca=20, He=2, O=8, Au=79.

6 Atomic Masses: He=4, Mg=24, C=12, O=16, N=14, P=31, Br=80, Cu= , Fe=56, Mn=55, Pb=207, Au=197, Ag=108, F=19, H=2, Cl= , Sn= Useful Data Physics: Acceleration due to gravity g = 10 2m / s JEE-MAINS (2014)-CPA-PHASE-1-PCM-3 F I IT J E E L t d , B 4 , S ec 1 6, No i d a ( U. P ), 2 0 1 3 0 1, P h : 01 2 0 - 3 1 0 5 0 0 5, 47 5 4 8 0 0, F ax : 0 1 2 0 - 42 7 1 2 1 4 Section I (Physics) 1. The elevator shown in figure is descending with an acceleration of 3 m/s2.

7 The mass of the block A = 1 kg. The force exerted by the block B on A is (A) 3 N (B) 4 N (C) 6 N (D) 7 N A B 2s/m3 2. Two particles P and Q are projected simultaneously away from each other from a point A as shown in figure. The velocity of P relative to Q in ms-1 at the instant when the motion of P is horizontal is (A) 10 43 (B) 20 43 (C) 10 43 (D) 20 43 3. In the arrangement shown in the figure, coefficient of friction between the two blocks is. The force of friction acting between the two blocks is (A) 8 N (B) 10 N (C) 6 N (D) 4 N 4.

8 A particle is projected with speed u at angle with horizontal to pass over a tower of height h. The product of the two possible times taken to pass over the tower is (A) 2ug (B) 2hg (C) ug (D) 4hg 5. A particle of mass m is subjected to a force 0 F F [cos(t)i sin(t)j] . If initially (t=0) the particle was at rest, the kinetic energy of the particle as a function of time is given by: (A) 20F(1 cos(2t))m (B) 20F(1 cos t)m (C) 20 Fsin(t)m (D) 20 Ftm space for rough work 12 060 045 120 ms 120 2 ms P Q A 2kg 4kg F 1 = 2N F 2 = 20N Smooth JEE-MAINS (2014)-CPA-PHASE-1-PCM-4 F I IT J E E L t d , B 4 , S ec 1 6, No i d a ( U.)

9 P ), 2 0 1 3 0 1, P h : 01 2 0 - 3 1 0 5 0 0 5, 47 5 4 8 0 0, F ax : 0 1 2 0 - 42 7 1 2 1 4 6. A block of mass 1 kg is placed on the rough horizontal surface of a car moving with a constant acceleration a = 2m/s2 starting from rest as shown. The net work done by frictional force on the block relative to ground in first 4 sec is (A) 8 Joule (B) 16 Joule (C) 32 Joule (D) 64 Joule 7. Velocity of a particle moving in a curvilinear path varies with time as 2 v2t i t j m/s. Here, t is in second. At t = 1 s. The tangential acceleration of particle is (A)25 m/s2 (B) 35 m/s2 (C)45 m/s2 (D) 65 m/s2 8.

10 A particle is attached to one end of a string whose other end is fixed at point O in the vertical plane. The particle is released from rest when the string is horizontal. Then, the angle made by the string with the vertical when the net acceleration of particle is horizontal (A) 1tan2 (B) 11tan2 (C) 1tan2 (D) 11tan2 9. Which of the following velocity time graphs shows a realistic situation for a body in motion? (A) (B) (C) (D) space for rough work v t v t v t v t O l a = 2m/s2 1 kg JEE-MAINS (2014)-CPA-PHASE-1-PCM-5 F I IT J E E L t d , B 4 , S ec 1 6, No i d a ( U.)