ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
IIT – JEE - 2013
FULL TEST – 3
MARKS: 226
PAPER – I (ADVANCED PATTERN)
SECTION - I PHYSICS
PART I: Single Correct Answer Type This section contains 8 multiple choice questions. Each questions. Each question has four choices (A), (B), (C) (+3, –1) and (D) out of which ONLY ONE is correct.
1.
Block A is placed on block B, whose mass is greater than that of A. There is friction between the blocks, while the ground is smooth. A horizontal force P, increasing linearly with time, b egins to act on A. The accelerations a1 and a 2 of A and and B respectively
A
P B
are plotted against time (t). Choose the correct graph a1 (a)
(b)
a2
a1
a1 a2
a2
t
t
(c)
(d) a1
a1 a2
a2
a2
a1
a1 t
2.
a2 t
A force F k yi yi xj , where k is a positive constant, acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x – axis to the point (a, 0) and then parallel to the y – axis to the point (a, a). The total work done by the force on the particle is (a) 2ka 2 (b) 2ka 2 (c) ka 2 (d) ka 2
3.
A rectangular block has a square base measuring a a , and its height is h. It moves with a speed v on smooth horizontal surface (a) It will topple if v 2 gh . (b) It will topple if v 2 ga (c) It will topple if v 2ga 2 h
(d) It will not topple for any value of v
CENTERS: MUMBAI / DELHI / AKOLA / K OLKATA / LUCKNOW / NASHIK / GOA
4.
A cyclic process ABCD is shown in the p-V diagram. Which of the following curves represent the same process?
(a)
5.
(b)
(c)
(d)
A short linear object of length b lies along the axis of a concave mirror of focal length f, at a distance u from the mirror. The size of the image is approximately 1
u f 2 (a) b f
u f (c) b f
f (b) b u f
f (d) b u f
2
6.
In region of space, the electric field is in the x-direction and proportional to x, i.e., E E0 xiˆ . Consider an imaginary cubical volume of edge a, with its edges parallel to the axes of coordinates. The charge inside this volume is 1 1 (a) zero (b) 0 E 0 a 3 (c) (d) 0 E 0 a 2 E0 a 3 0 6
7.
In a parallel-plate capacitor, the region between the plates is filled by a dielectric slab. The capacitor is connected to a cell and the slab is taken out. (a) Some charge is drawn from the cell. (b) Some charge is returned to the cell. (c) The potential difference across the capacitor is reduced. (d) No work is done by an external agent in taking the slab out.
8.
Sound of wavelength passes through a Quincke’s tube, which is adjusted to give a maximum intensity I0 . Through what distance should the sliding tube be moved to give an intensity I0 / 2 ? (a) / 2
(b) / 3
(c) / 4
(d) / 8
PART II: Multiple Correct Answer(s) Type This section contains 4 multiple choice questions. Each question has four choices (A), (B), (C) or (D) out of which ONE or MORE are correct. (+4, –1)
9.
A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Immediately after impact, (a) the angular momentum of the rod is Jl (b) the angular velocity of the rod is 3 J ml (c) the kinetic energy of the rod is 3 J
2m
(d) the linear velocity of the midpoint of the rod is 3 J 2m
10.
The magnetic field perpendicular to the plane of a conducting ring of radius r changes at the rate
dB dt
dB (a) The emf induced in the ring is r 2 dt dB (b) The emf induced in the ring is 2r dt (c) The potential difference between diametrically opposite points on the ring is half of the induced emf. (d) All points on the ring area at the same potential 11.
Two long, thin, parallel conductors are kept very close to each other, without touching. One carries a current i, and the other has charge per unit length. An electron moving parallel to the conductors with velocity v is undeflected. Let c velocity of light. (a) v (b) v (c) c
c 2 i i
i
(d) The electron may be at any distance from the conductor. 12.
A charged particle is fired at an angle to a uniform magnetic field directed along the x axis. During its motion along a helical path, the particle will (a) never move parallel to the x axis (b) move parallel to the x axis once during every rotation for all values of (c) move parallel to the x axis at least once during every rotation if
45
(d) never move perpendicular to the x direction
PART III: PARAGRAPH TYPE This section contains 3 multiple choice questions relating to ONE paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. (+3,–1) PARAGRAPH – I A biconvex lens is made of material with refractive index n 2 . The radii of curvatures of its left surface and right surface are R 1 and R 2 . The media on its left and right have refractive indices n1 and n 3 respectively. The first and second focal lengths of the lens are respectively f 1 and f 2 13.
The ratio, f1 f 2 of the two focal lengths is equal to (a) n1 n3
14.
(b) n1 1
n3 1
(c) n 3 1
n 3 1
(d) n 2 n 3
n 2 n1
Assume that n1 n 3 .Which of the following statements is not correct? (a) f1 f 2 (b) f 2 is inversely proportional to n 3 1 (c) If R 1 and R 2 are unequal , the focal length would depend on the direction in which light travels through the lens (d) f 1 may be negative if n1
n2
CENTERS: MUMBAI / DELHI / AKOLA / K OLKATA / LUCKNOW / NASHIK / GOA
15.
Assume that R1
R 2 , n1 n 3 . The ratio, f1 f 2 of the two focal lengths is equal to
(a) 1
(b) n1 n 3
(d) n3 1 n 1 1
(c) n3 n1
PART IV: Integer Answer Type This section contains 4 questions. The answer to each question is a single/two digit integer , ranging from 0 to 99 (both inclusive ) (+4,0) 16.
A sphere of mass m is given some angular velocity about a horizontal axis through its centre and gently placed on a plank of mass m. the coefficient of friction between the two is 0.3. The plank rests on a smooth horizontal surface. Find the initial acceleration of sphere relative to the plank (Take g = 10 m / s 2 ) m m
1 3
17.
A satellite can be in a geostationary orbit around a planet at a distance 32 km from the centre of the planet. If the angular velocity of planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of planet is x km. Find x.
18.
A wheel of radius 10 m rolls without slipping on the ground with speed of its center 1m/s. When its bottommost point is at point P, a piece of mud flies off tangentially from its highest point and lands on the ground at point Q. The distance PQ is x metres. Find x (g = lom/s 2 )
19.
2 identical sounds A and B reach a point in the same phase. The resultant sound is C. The loudness of C is n dB higher than loundness of A. Find value of n. ( log10 2 0.3 )
CENTERS: MUMBAI / DELHI / AKOLA / K OLKATA / LUCKNOW / NASHIK / GOA
PART V: Matrix Match Type T hi s section contai ns 1 question. Each question contai ns statements given in two columns, which have to be matched. T he statements in Column-I are labelled A , B, C and D , while the statements in Column - II are labelled p, q, r, s and t. A ny given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column- II. T he appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example: If the correct (+ 8, 0) matches are A - p , s and t ; B - q and r ; C - p and q ; and D - s and t. 20.
In fig, shown, when the persons A and B exchange their positions, then match Columns I and II. There is no friction between plank and ground.
m1 50kg, m2 70kg, M 80kg COLUMN A
(p) The displacement of the plank is (q) The displacement of A with respect to ground is (r) The displacement of B with respect to ground is (s) The displacement of center of mass of (A + B) system with respect to ground is
COLUMN B
(a) 20 cm (b) 180 cm or 220 cm (c) Towards right (d) Towards left
PAPER – I (SOLUTION) 1.
(c)
The two blocks will move together with the same acceleration as long as the force of friction between them is less than the limiting friction, as the only force on the lower block B is the force of friction. Once limiting friction is reached, the acceleration of B becomes constant
Flim massof B , and the acceleration of A
continues to increase at a faster rate. 2.
(c)
For the first displacement , y 0 . Hence Fx
Fy 3.
0 and no work is done. For the second displacement,
ka and y ka 2 .
(d)
A body topples due to an unbalanced torque about its centre of mass. Hence, the two forces acting on the block, viz; mg and N , both pass through the centre of mass and hence produced no torque. 4.
5.
(b)
(a) AB constant p , increasing V; increasing T
(b) BC constant T , increasing V , decreasing p
(c) CD constant V , decreasing V , decreasing p Also, BC is at a higher temperature than AD
(d) DA constant T , decreasing V , increasing P
(d)
For the image of A, For the image of B, The image size is 6.
1
A 1
1
u
1
f
1
B u b A B
1
f
(b)
The field at the face ABCD
flux over the face
E 0 x 0ˆi
ABCD E 0 x 0 a 2
The negative sign arises as the field is directed into the cube. The field at the face EFGH E 0 x 0
The flux over the other four faces is zero as the field is parallel to the surfaces.
a ˆi
total flux over the cube E0a 3
1
0
q ,
where q is the total charge inside the cube.
q 0 E0a 3 7.
(b)
When a capacitor remains connected to a cell, its potential difference remains constant and is equal to the emf of the cell. Any change in the capacitor may change its capacitance, its charge and the energy stored in it. When the dielectric slab is taken out, the capacitance decreases. Hence charg e decreases, and the difference in charge is returned to the cell. 8.
(d)
Let a amplitude due to each wave
k 2a 2 4ka 2 Let phase difference to obtain the intensity I0 2 I0
a ' a 2 a 2 2a 2 cos 2a cos 2 I0 2 k 4a 2 cos 2 2 I0 cos 2 2 or cos 2 1 2 or 2 4 2 or , where path difference 2 4 2x , where x displacement of the sliding tube. x 8 Amplitude
9.
(a,b,c,d)
Angular momentum or L J l
ml 2 3 L I 3J
linear momentum perpendicular distance from the point of rotation
Also, I
Kinetic energy
l
3J
2
2m
C .
10.
ml
2
L
2 I
2 2
J l
2
ml
2
3
3J 2 2m
(a,d)
r 2 B
e r 2
Let R resistance of the ring the current in the ring i e R
dB dt
Consider a small element dl on the ring e R dl . de dl . Resistance of the element dR 2r 2r e R e dl 0 dl idR de R 2r 2r
Emf induced in the element p.d. across the element
all points on the ring are at the same potential.
11.
(a,d)
At P , electric field
E
i (to the right) and magnetic field B 0 (into the paper) 2x 20 x
For no deflection , E B or
12.
or
E B
2x 1 c2 . 2 0 x 0i i 00 i
(a,d)
Let d distance of the target T from the point of projection. P will strike T if d is an integral multiple of the pitch.
m Here, m,Q and are constant 2 cos QB pitch k , where k constant B Initially, d k 0 B0 Pitch
13.
(a)
16.
(6)
14.
(c)
15.
(b)
The only horizontal forces acting on the two bodies are these due to friction of magnitude in opposite directions. Hence the y have accelerations g each, in opposite directions. 17.
(2)
T2 18.
r 3 . Also when angular velocity doubles, time period becomes half.
(4)
t
4r g
2
r
2v
2r
g
v
PQ 2vt 4v
19.
r g
.
P
Q
(6)
Loudness due to A = I Loudness due to A + B = 4I 4I N = 10 log10 10 log10 4 6 I 20.
(i) (a) (ii) (iii) (b) (iv) (c)
mg each,
SECTION - II CHEMISTRY
PART I: Single Correct Answer Type This section contains 5 multiple choice questions. Each question has four choices (A), (B), (C) (+3, –1) and (D) out of which ONLY ONE is correct. 1.
The minimum mass of mixture of A 2 and B4 required to produce at least 1 kg of each product is : (Given At. mass of 'A' = 10 ; At. ma ss of 'B' = 120) 5A2 + 2B 4 2AB2 + 4A2B (A) 2120 gm
2.
(B) 1060 gm
(C) 560 gm
(D) 1660 gm
Calculate the heat capacity of the monoatomic gas undergoing the process, as shown in the P-V graph:
) m t a ( P 4
45° 2 (A) 3.
3 2
R
(B)
5 2
V(ltr.)
R
(C)
7 2
R
(D)
8 6
R
A solid has a structure in which W atoms are located at the corners of a cubic lattice, O atom at the centre of the edges and Na atom at centre of t he cubic. The formula for the compound is (A) NaWO2 (B) NaWO3 (C) Na2WO3 (D) NaWO4 Cl
4.
How many geometrical isomers are possible for : Cl
(a) 0
(b) 1 H O /
5.
3
CN
Cl
(c) 2
(d) 3
A ; product (A) of the reaction is :
CN CN CN O
O O
(a)
(b)
O
(c)
CO2H
O
O O
(d) O
CO2H O
PART II: Multiple Correct Answer(s) Type This section contains 5 multiple choice questions. Each question has four choices (A), (B), (C) or (D) out of which ONE or MORE are correct. (+4, –1) 6.
The energy levels of hypothetical one electron atom are shown below. 0 eV ——— n = ∞ – 0.50 eV ——— n = 5 – 1.45eV ——— n = 4 – 3.08 eV ——— n = 3 – 5.3 eV——— n = 2 – 15.6 eV ——— n = 1 Select correct statements (A) ionisation potential of atom is 15.6 eV (B) short wavelength limit of the series terminating at n = 2 is 233.9 nm (C) wave no. of photon emitted for the transition made by the electron from third orbit to first orbit is1.009 × 107 m –1 (D)ionisation potential of electron in 1 st excited state is 5.3 eV.
7.
Which is/are correct statements:
(A) In any strong acid’s solution, the concentration of [OH – ] will be zero. (B) If Gº of a reaction is positive, then the reaction will not proceed at all, in the forward direction for any concentrations of reactants and products. +
–
(C) [H ] = [OH ] =
K w for a neutral solution at all temperatures.
(D) When titration curves are d rawn for (i) 1M HCl (50 mL) with 1 M NaOH and (ii) 0.01 M HCl (50 mL) with 0.01 M NaOH on the same graph paper they look like:
8.
An unsaturated hydrocarbon on complete hydrogenation gives 1-isopropyl-3 methylcyclohexane after ozonolysis it gives one mole of formaldehyde one mole of acetone and one mole of 2,4Dioxohexanedial. The possible structure/s of the hydrocarbon may be (a)
9.
(b)
(c)
(d)
Which of the following are pair of antiaromatic species. (a)
(b)
(c)
H
(d)
B
10.
Iron salts cannot form complexes with ammonia because A) In alkaline solutions iron salts are precipitated as their hydroxides which are insoluble in excess of alkali B) In acid solutions NH 3 cannot form complex because of protanation it changes to ion which have no donor site C) In the presence of ammonia iron nitrides are formed D) In solution aqua complexes of iron salts are produced which protects the ions of iron
PART III: PARAGRAPH TYPE This section contains 2 multiple choice questions relating to three paragraphs with two questions on each paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. (+4, –1) PARAGRAPH FOR QUESTION NOS. 11 TO 12
The thermal decomposition of N 2O5 occurs as : 2N2 O5 4NO2 + O2 Experimental studies suggest that rate of decomposition of N 2 O5, rate of formation of NO 2 or rate of formation of O2 all becomes double if concentration of N 2O5 is doubled. 11.
The correct mechanism for decomposition of N 2 O5is : Slow Fast (A) N2O5 NO2 + NO3 ; N2O5 + NO3 2NO2 + O2 Fast Slow (B) N2 O5 NO2 + NO3 ; N2O5 + NO3 3NO2 + O2 Fast (C) N2 O5 2NO2 + O2 Slow Fast (D) N2O5 NO + NO2 + 2O2 ; N2 O5 + NO2 3NO2 + O2
12.
The container of 2 litre contains 4 mole of N 2O5 . On heating to 100°C, N 2O5 undergoes complete dissociation to NO2 and O2 . Select the correct answers if rate constant for d ecomposition of N 2 O5 is 6.2 × 10 –4 sec –1. 1. The mole ratio before and after dissociation is 4 : 2. 2. Half life of N 2O5 is 1117 sec and it is independent of temperature. 3. Time required to complete 40% of reaction is 824 sec. 4. If volume of container is doubled, the rate of decomposition becomes half of t he initial rate (A) 1, 3, 4 (B) 1, 2, 3, 4 (C) 3, 4 (D) 2, 3, 4 PARAGRAPH FOR QUESTION NOS. 13 TO 14
I II.
FeCr2O4 NaOH air A Fe 2O 3
Na2Cr2O7 A B
III.
Na2Cr2O7 X Cr2O3
13.
Cr2O3 Y Cr IV. Compound (A) and (B) are. A) Na2CrO4 , H 2SO4
C) 14.
Na2CrO5 , H 2SO4
(X) and (Y) are A) C and Al
B) D)
B) Al and C
Na 2Cr2O7 , HCl
Na4 Fe OH
C) C in both
6 , H 2SO4
D) Al in both
PART IV: Integer Answer Type This section contains 4 questions. The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive) (+4, 0)
15.
A current of 2 ampere is passed for 5 hrs through the molten metal salt and it causes deposition of 22.2 g of metal (atomic weight 177). The oxidation state of the metal in salt is + x, then value of x is______
16.
One mole of (C6H5)3C.OH dissolved in 1000 g of 100% pure sulphuric acid lowers the freezing point of sulphuric acid twice as one mole of CH 3OH shows in 1000 g of 100% pure sulphuric acid. Calculate the Van’t Hoff factor of Ph 3COH assuming that CH3OH is neither dissociated nor associated in 100% pure sulphuric acid.
17.
(a) alc.KOH
Br
X products
Br alc.KOH
(b)
alc.KOH
(c)
Y
Z
Br
CH 3
(d)
H
alc.KOH
CH 3 CH 3
P
Br
Sum of X + Y + Z + P = 18.
How many different Grignard reagents when react with EtOH, give n-butane as product (excluding stereoisomerism).
19.
InCuSO4. 5H2O, the no. of oxygen atoms surrounding ea ch Cu+2 ion is
CENTERS: MUMBAI / DELHI / AKOLA / KOLKATA / LUCKNOW / NASHIK / GOA
PART V: Matrix Match Type T hi s section contai ns 1 question. Each question contai ns statements given in two columns, which have to be matched. T he statements in Column-I are labelled A , B, C and D , while the statements in Column - II are labelled p, q, r, s and t. A ny given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column- II. T he appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example: If the correct (+ 8 , 0 ) matches are A - p , s and t ; B - q and r ; C - p and q ; and D - s and t. 20.
Column-I (A) If SOP of substance is exist between – 1.23 to – 0.81 V (B) If SOP of substance is exist between – 0.81 V to – 0.40 V (C) If SOP is less than – 1.23 V (D) If SOP is greater than – 0.40 V
Column-II (p) Oxidation of substance is not possible
(q) Possible only in acidic medium (r) Possible in any medium (s) Oxidation easily takes place
SOP (Standard Oxidation Potential) of wat er is – 1.23 V
CENTERS: MUMBAI / DELHI / AKOLA / KOLKATA / LUCKNOW / NASHIK / GOA
SECTION II I : MATHEMATICS PART I : Single Correct Answer Type This section contains 6 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. (+3, –1)
1
2
2
Point P is moving along the circumference of the circle x 4 y 8 16. Then it br eaks away fr om it and moving a long a ta ngent to t he circ le, c uts the x -axis at the point (8,0). The coordinates of the points on the circle at which the moving point broke away can be : (A) (8,8)
2
If
(B) (0,8)
mx 2 3x 4 x 2 3x 4
(C) (4,4)
(D) none of these
7 , x R , then the value of m is
(A) m 7
(C) m 1, 7
(B) m 1
(D) m ,1
3
a,b,c,d are in increasing G.P. If the AM between a and b is 6 and the AM between c and d is 54, t hen the AM of a a nd d is (A) 15 (B) 48 (C) 44 (D) 42
4
The primitive of the differential equation
2xy e 4
2xy3 y dx x 2 y 4e y x 2y 2 3x dy 0 is
y
(A) x 2e y
x
(C) x e
x
2
y
2
y 2
y
x y
3
x y
3
c
2 y (B) x e
c
(D) x e 2
y
x
2
y x
2
y
x y
c
3
x y
c
3
1
n r n L , then 3 , lim 2 n n r 1 0 1 x 1
5
Let
dx
(A) 3 log e L (C) 3 log e L
6
2
n
2
2
2
1
(B) 3 log e L
1
(D) 3 log e L
3
1
1 1 2 3 2
If f 4 x f 4 x and f 8 x f x 8 and f(x) is a func tion for which 8
200
0
0
f x dx 5 then f x dx
is
46
(A) 100
(B) 2 f x dx 8
104
(C)
f x dx
(D) none of these
4
CENTERS : MUMBAI / AKOLA / NASHIK / PUNE / DELHI / KOLKATA / LUCKNOW / GOA
PART II : Multiple Correct Answer(s) Type This section contains 4 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE are correct. (+4, –1)
7
ax 2 b, If Rolle’s theorem is applicable to the function f defined by f x 1, , x
x 1 x 1 x 1
for x 2, 2 then (A) a b 1
8
(C) b
(B) a b
(D) 3a b 0
2
If 2sin 2 cos 2 x 1 cos sin 2x , then 2
(B) tan x
(A) x 2n 1 , n I 2 (C) tan x 9
3
1
(D) x
2
n 2
1 2 , n I
Which of the following function is periodic? (A) f x sgn e x where sgn x denotes signum function of x. (B) f x sin x sin x (C) f x min . sin x, x
1
1 x 2 x where x denotes greatest integer less than or equal to x. 2 2
(D) f x x 10
The line 3x 6y k intersect the curve 2x 2xy 3y 1 at points A and B. The circle on AB as diameter passes through the origin. The possible value of k is 2
(A) 3
(B) 4
3
(C) – 4
(D) – 3
PART III : Paragraph Type This section contains 4 multiple choice questions relating to two paragraphs with two questions on each paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. (+3, –1)
PASSAGE 1
If a b c, b c a, c a b . If vectors a , b and c are forming a right handed system.
If x a b c, y a b 2c, z a 2b c , then a vector normal to the vector x y
11
and y z is
(A) 3a 6b 4c
(B) 3a 6b 4c
(C) 3a 6b 4c
(D) 3a 6b 4c
CENTERS : MUMBAI / AKOLA / NASHIK / PUNE / DELHI / KOLKATA / LUCKNOW / GOA
Let x a b, y 2a b , then the point of intersection of straight lines
12
r x y x, r y x y is
(A) 2b
(B) 3b
(C) 3a
(D) 2a
PASSAGE 2
There are four boxes A1 ,A 2 ,A 3 and A 4 . Box A i has i balls and on each ball a number is pr inted, the numb ers a re fr om 1 to i. A box is select ed ra ndomly, the pr oba bility of selection of box A i is
i
and then a ball is drawn. Let E i represents the event that a 10 ball with number ‘i’ is dr awn. 4
13
The value of
P E i 1
(A)
14
1 5
i
A i is
(B)
1
(C)
10
2
(D)
5
1 4
P A3 / E 2 is equal to (A)
1 4
(B)
1
(C)
3
2
(D)
3
1 2
PART IV : Integer Answer Type This section contains 5 questions. The answer to each question is a single digit integer, (+4, 0) ranging from 0 to 9 (both inclusive).
15
If x , y , z are 3 numbers in GP such that 4 is the AM between x and y and 9 is the HM between y and z, then y is_____________
16
If f x is a polynomial of degree 4 with leading coefficient one satisfying f 1 1, f 2 2, f 3 3 then
f 1 f 5 (where [ .] represents the greatest integer function) is equal to__________ f 0 f 4
17
If z 3 Re z, w 3 Re w and arg z w
18
The volume of tetrahedron AKHI is AK 1 , then
19
1 6
4
, then the Im z w equals______
unit 3 , KIH
4
and
2 AK HI KI 3 2 ,
3 AI is equal to
2 Let A and B be two non-singular square matrices such that B I and AB BA . If A 3 B1A3Bn , then value of n is_________
CENTERS : MUMBAI / AKOLA / NASHIK / PUNE / DELHI / KOLKATA / LUCKNOW / GOA
PART V: Matrix Match Type T his section contains1 question. Each question contains statements given in two colum ns, which have to be matched. T he statements in Column-I are labelled A, B, C and D , while the statements in Column -
II are labelled p, q, r, sand t. A ny given statement in Column-I can have correct matching with ONE OR MORE statement( s) in Column- II. T he appropri ate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following exam ple: If the correct matches are A - p , s
(+ 8, 0)
and t ; B - q and r ; C - p and q ; and D - s and t.
20
If z1 ,z 2 ,z 3 , z 4 are the roots of the equation z 4 z 3 z 2 z 1 0 then Column I Column II 4
(A)
z i 1
4 i
is equal to
(P) 0
4
(B)
z i 1
5 i
is equal to
4
(C)
z
i
2 is equal to
(Q) 4 (R) 1
i 1
(D) Least value of z1 z 2 is (where [ ] stands for G.I.F)
(S) 11
CENTERS : MUMBAI / AKOLA / NASHIK / PUNE / DELHI / KOLKATA / LUCKNOW / GOA
ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
FULL TEST – 3 PAPER – I (ANSWER KEY) PHYSICS
1.
(B)
2.
(C)
3.
(D)
4.
(B)
5.
(D)
6.
(B)
7.
(B)
8.
(D)
9.
(A, B, C, D)
10.
(A, D)
11.
(A, D)
12.
(A, D)
13.
(A)
14.
(C)
15.
(B)
16.
(6)
17.
(2)
18.
(4)
19.
(6)
20.
p a, c;q b, c;r b, d;s d
CHEMISTRY
1.
(A)
2.
(C)
3
(B)
4.
(C)
5.
(D)
6.
(A, B, C, D)
7.
(C, D)
8.
(A,C)
9.
(B, D)
10.
(A.B)
11.
(B)
12.
(C)
13.
(A)
14.
(A)
15.
(4)
16.
(2)
17.
(8)
18.
(2)
19.
(6)
20.
A q ; B r ; C p ; D s MATHS
1.
A
2.
D
3.
D
4.
A
5.
D
6.
D
7.
ABCD
8.
ABC
9.
ABCD
10.
AD
11.
B
12.
C
13.
C
14.
D
15.
6
16.
5
17.
6
18.
03
19.
6
20.
A – R, B – Q, C – S, D – P
CENTERS: MUMBAI / DELHI / AKOLA / K OLKATA / LUCKNOW / NASHIK / GOA
PAPER – II PHYSICS
1.
(c)
2.
(a)
3.
(b)
4.
(b)
5.
(b)
6.
(b)
7.
(c)
8.
(c)
9.
(a, b, c)
10.
(b, d)
11.
(d)
12.
(c)
13.
(d)
14.
(d)
15.
(a)
16.
(2)
17.
(3)
18.
(2)
19.
(4)
20.
i – b; ii – c; iii – d; iv – d
CHEMISTRY
1.
(B)
2.
(C)
3.
(C)
4.
(B)
5.
(C)
6.
(A, B, C, D)
7.
(A, B, C, D)
8.
(B, D)
9.
(B,C, D)
10.
(B,C)
11.
(C)
12.
(B)
13.
(B)
14.
(C)
15.
(2)
16.
(3)
17.
(1)
18.
(6)
19.
(3)
20.
a – p; b – s, c – q; d - r MATHS
1.
D
2.
C
3.
A
4.
C
5.
B
6.
C
7.
ABCD
8.
AC
9.
BD
10.
ABC
11.
BCD
12.
B
13.
D
14.
D
15.
B
16.
4
17.
5
18.
8
19.
2
20.
A – PQRS, B – R, C – RS
CENTERS: MUMBAI / DELHI / AKOLA / K OLKATA / LUCKNOW / NASHIK / GOA
