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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 V

Paper 1

Time Allotted: 3 Hours Maximum Marks: 252 Please r ead the inst ruct ions carefu l l y . You are a l lot ted 5 minutes

speci f i ca l l y for th is purpose. You are not a l lowed to leave the Exam inat ion Hal l before the end o f

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 is further divided into two section: Section-A & Section-C. 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.

(i) Section-A (01 08) contains 8 multiple choice questions which have only one correct answer. Each question carries +3 marks for correct answer and 1 mark for wrong answer. Section-A (09 13) contains 5 multiple choice questions which have more than one correct

answer. Each question carries +3 marks for correct answer. There is no negative marking. Section-A (14 18) contains 2 paragraphs. Based upon paragraph, 2 and 3 multiple choice

questions have to be answered. Each question has only one correct answer and carries +3 marks for correct answer and 1 mark for wrong answer.

(ii) Section-C (01 10) contains 10 Numerical based questions with answers as numerical value and

each question carries +3 marks for correct answer. There is no negative marking.

Name of the Candidate

Enrolment No.

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AITS-FT-V-(Paper-1)-PCM-JEE(Advanced)/14

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/s2

Planck constant h = 6.6 1034 J-s

Charge of electron e = 1.6 1019 C

Mass of electron me = 9.1 1031 kg

Permittivity of free space 0 = 8.85 1012 C2/N-m2

Density of water water = 103 kg/m3

Atmospheric pressure Pa = 105 N/m2

Gas constant R = 8.314 J K1 mol1

CHEMISTRY

Gas Constant R = 8.314 J K1 mol1 = 0.0821 Lit atm K1 mol1 = 1.987 2 Cal K1 mol1 Avogadro's Number Na = 6.023 1023 Plancks constant h = 6.625 1034 Js = 6.625 1027 ergs 1 Faraday = 96500 coulomb 1 calorie = 4.2 joule 1 amu = 1.66 1027 kg 1 eV = 1.6 1019 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.

AITS-FT-V-(Paper-1)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com

3

PPhhyyssiiccss PART I

SECTION A

Straight Objective Type

This section contains 8 multiple choice questions numbered 1 to 8. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 1. Resistance of each resistor is R. Then the equivalent resistance

across A and B is

(A) 5R9

(B) 4 R9

(C) R9

(D) 7R9

A

C

B

D

E

F

2. Consider two coherent monochromatic (wavelength )

sources S1 and S2 separated by distance d. The ratio of intensity of S1 and that of S2 (which is responsible for interference at point P, where detector is located) is 4. The distance of point P

S2

S1 P

d

from S1 is (if the resultant intensity at point P is equal to 94

times of intensity of S1)

[Given S2 S1P is 90] (d > 0, n is a positive integer)

(A) 2 2 2d n2n

(B)

2 2 2d n2n

(C) 2 2 2

n d

d n

(D)

2 2 2

2n d

d n

Space for rough work

AITS-FT-V-(Paper-1)-PCM-JEE(Advanced)/14

4

3. The refractive index of space changes with y, whose function is given as

(y) = 2 0

0 02

1 if y 0ky if 0 y 2y

if 2y y 4yy

2y0

y0

B

A x

y

where k and are positive constant. When a light ray is incident at point A as shown in figure.

When the ray reaches to point B, it becomes parallel to xz-plane. Choose the correct statement. (A) is independent of k (B) is independent of (C) is independent of both k and (D) none of these 4. The space has electromagnetic field which varies with time whose variation is given as

00

00 0

0

mB k if 0 tqB

m 2 mB B j if tqB qB

2 m0 if tqB

and 0

00

2 m0 if 0 tqB

E2 mE k if tqB

A charge particle having mass m and positive charge q is given velocity 0v i at origin at t = 0 sec. The coordinate of point on xy plane when it is passing through xy plane again is

(A) 0 0 00 0 0

2mv v 2mv, ,0

q E B qB

(B) 0 0 00 0 0

2mv v mv, ,0

q E B qB

(C) 0 0 00 0 0

mv v 2mv, ,0

q E B qB

(D) 0 0 00 0 0

mv v mv, ,0

q E B qB

5. If the sound heard by observer, whose equation is given as y = 8sin10t cos 200t at x = 0 The number of beat frequency heard by observer is 2k, then the value of k is (A) 10 (B) 5 (C) 4 (D) none 6. Two sound waves of frequencies 100 Hz and 102 Hz and having same amplitude A are

interfering. A detector which can detect waves of amplitude greater than or equal to A is kept at rest. In a time interval of 12 seconds, find the total duration in which detector is active.

(A) 2sec (B) 4sec (C) 6sec (D) 8sec

Space for rough work

AITS-FT-V-(Paper-1)-PCM-JEE(Advanced)/14

5

7. Two identical photons of energy E (4eV E 8eV) fall on two different metals whose work functions are in the ratio of 1 : 2. The ratio of the kinetic energies of the most energetic electrons coming from each metal is 2 : 1. Work function of one of the metal is 4 eV. What is the energy of photon in eV.

(A) 6eV (B) 8 eV (C) 4 eV (D) 5 eV 8. A metal wire PQ slides on parallel metallic rails having separation 0.25 m,

each having negligible resistance. There is a 2 resistor and 10 V battery as shown in figure. There is a uniform magnetic field directed into the plane of the paper of magnitude 0.5T. A force of 0.5 N to the left is required to keep the slide wire PQ moving with constant speed to the right. With what speed is the wire PQ moving?

0.25 m 10 V

2

P

Q (A) 14 m/s (B) 16 m/s (C) 18 m/s (D) 20 m/s

Multiple Correct Choice Type

This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONE OR MORE is/are correct. 9. In the shown figure (1) and (2), capacitors are in the steady state. Charging batteries are

removed and switches S1 and S2 are closed at time t = 0. The plot of nI (I is the current in the resistor) in against time t in the resistors R1 and R2 are shown by the graphs 1 and 2 respectively in the figure (3). Choose the correct option(s).

(A) If 1 = 22, R1 must be equal to 2R2 (B) If R1 = R2, C1 must be less than C2 (C) If C1 = C2, R1 must be less than R2 (D) R1C1 is equal to R2C2

C1

R1 S1

1

C2

R2 S2

2

(2)

(1) n I

t

figure (1) figure (2) fi