FIITJEE MOCK TEST-8 I I I I T T – – J J E E E E , , 2 2 0 0 1 1 9 9 PAPER-II Time: 3 Hours Maximum Marks: 198 A. Question Paper Format: 1. The question paper consists of 3 Parts (Chemistry-Part-I, Mathematics-Part-II and Physics-Part-III,). 2. Section A(i) contains 10 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 3. Section A(ii) contains 3 groups of questions. Each group has 2 questions based on a paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 4. Section A(iii) contains FOUR (04) questions. Each question has TWO (02) matching lists: LIST‐I and LIST‐II. FOUR options are given representing matching of elements from LIST‐I and LIST‐II. ONLY ONE of these four options corresponds to a correct matching. B. Marking Scheme: 5. For each question in Section A(i) you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded. 6. For each question in Section A(ii), you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases, minus one (-1) mark will be awarded. 7. For each question in Section A(iii), you will be awarded 3 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all other cases, Minus one (-1) mark will be awarded. Enrolment No. : Name : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Batch : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Date:. . . . . . . . . . . . . . . . . . . . Paper Code 100399.1
Transcript
FIITJEE MOCK TEST-8 IIIITT –– JJEEEE,, 22001199
PAPER-II
Time: 3 Hours Maximum Marks: 198
A. Question Paper Format: 1. The question paper consists of 3 Parts (Chemistry-Part-I, Mathematics-Part-II and Physics-Part-III,). 2. Section A(i) contains 10 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its
answer, out of which only one is correct. 3. Section A(ii) contains 3 groups of questions. Each group has 2 questions based on a paragraph. Each question has
4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 4. Section A(iii) contains FOUR (04) questions. Each question has TWO (02) matching lists: LIST‐I and
LIST‐II. FOUR options are given representing matching of elements from LIST‐I and LIST‐II. ONLY ONE of these four options corresponds to a correct matching.
B. Marking Scheme: 5. For each question in Section A(i) you will be awarded 3 marks if you darken the bubble corresponding to the
correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded.
6. For each question in Section A(ii), you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases, minus one (-1) mark will be awarded.
7. For each question in Section A(iii), you will be awarded 3 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all other cases, Minus one (-1) mark will be awarded.
(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 option is correct.
1. The rate of effusion of an unknown gas (X) is 2 rd3
the rate of effusion of CH4 under same condition.
The density of gas (X) at 1 atm and 400 K is 0.8 kg/m3. The compressibility factor of the gas (X) is? (A) 1.52 (B) 1.37 (C) 1.82 (D) 1 2. In the following reaction
5. Which of the following is optically inactive? (A) [Co(en)3]3+ (B) [Cr(OX)3]3- (C) Cis-[CoCl2(en)2]+ (D) trans-[CoCl2(en)2]+
6. Which of the following order of acidic strength is incorrect? (A) HClO4 > HClO3 > HClO2 (B) HIO4 > HBrO4 > HClO4 (C) HI > HBr > HCl (D) HF > H2O > NH3 7. Which of the following statement is incorrect? (A) XeF6 on hydrolysis produces XeO3 (B) XeF2 on hydrolysis produces XeO3 (C) XeO3 reacts with XeF6 to form XeOF4 (D) XeOF4 is formed by the partial hydrolysis of XeF6 8.
CCH3
O
H O
2 2NH –NHOH /
The major product is
(A)
(B)
OH
(C)
OH
CH2OH
(D)
9. A solution of 100 ml of 1 M KOH is added to 100 ml of 1 M HCl and the mixture is shaken well. The
rise in temperature T1 is noted. The experiment is repeated by using 50 ml of 1M KOH and 50 ml of 1M HCl and increase in temperature T2 is noted. Which of the following is correct?
(A) T1 = 2T2 (B) T1 = T2 (C) T1 = 4T2 (D) 2T1 = T2 10. In a closed vessel of 2L capacity, 0.1 mole of Sb2S3(s) and 0.1 mole of H2(g) are mixed at 400 K. At
equilibrium 2 3 2 2Sb S s 3H g 2Sb s 3H S g the H2S(g) formed was analysed by dissolving it in water and treating with excess Pb2+. Which gives
11.9 g of PbS precipitate. The value of Kc at 400oC is (MW of PbS = 238) (A) 1 (B) 2 (C) 4 (D) 16
This section contains 3 paragraphs, each describing theory, experiments, data etc. Six questions relate to the three paragraphs with two questions on each paragraph. Each question has only one correct answer among the four given options (A), (B), (C) and (D).
Paragraph for Question Nos. 11 to 12
The pressure of H2O(g) at 25oC for the reaction at equilibrium 4 2 4 2 2CuSO .3H O s CuSO .H O s 2H O g
is 10 × 10-3 atm. The standard enthalpy change of the reaction is 100 kJ/mole. 11. The oG of the given reaction is (A) 22.8 kJ mol-1 (B) 19.2 kJ mol-1 (C) 16.4 kJ mol-1 (D) 82.6 kJ mol-1 12. The oS of the given reaction is (A) 518 J K-1 mol-1 (B) 259 J K-1 mol-1 (C) 129.5 J K-1 mol-1 (D) 316 J K-1 mol-1
2 2U CO H O V P Answer the following question based on the above passage. 15. Compound ‘U’ is (A) CaC2 (B) CaCN2 (C) Ca3N2 (D) Ca(CN)2 16. The compound ‘V’ is
Match List Type (Only One Option Correct) This section contains four questions, each having two matching lists. Choices for the correct combination of elements from List-I and List-II are given as option (A), (B), (C) and (D) out of which one is correct. 17. Match List - I with List – II.
List – I List – II
(P) Excluded molar volume (1) Z = 1
(Q) Higher the compressibility factor (2) b
(R) At Boyle’s temperature (3) All gases behave ideally
(S) At extremely low pressure (4) Difficult is the liquification of gas
Codes: P Q R S (A) 4 1 2,3 3,4 (B) 2 4 1,3 1,3 (C) 3 1 2,1 4,2 (D) 2 4 3,4 1,4 18. Match the pair of complexes with properties that are same in them List-I List-II (P) [NiCl4]2- and Ni(CO)4 (1) Diamagnetic (Q) [Ni(CN)4]2+ and Ni(CO)4 (2) Square planar (R) [Ni(CN)4]2- and [Cu(NH3)4]2+ (3) Tetrahedral (S) [NiCl4]2- and [Cu(NH3)4]2+ (4) Paramagnetic Codes: P Q R S (A) 1 3 2 4 (B) 3 2 1 4 (C) 3 1 2 4 (D) 4 2 1 3
(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 option is correct. 1. If Z1, Z2 are two complex numbers such that 1 1Z , 2 1Z then the maximum value of
1 2 1 2Z Z Z Z is
(A) 2 (B) 2 2 (C) 4 (D) none of these 2. The equation of a straight line meeting the circle x2 + y2 = a2 in two points at equal distance ‘d’ from
the point (x1, y1) on its circumference is
(A) 2
21 1
dxx yy a 02
(B) 2
21 1
dxx yy a 02
(C) 2
21 1
dxx yy a 02
(D) 2
21 1
dxx yy a 02
3. 1 x dxIx1 x
is equal to
(A) 1 1 1 x2 cos x log cx
(B) 1 1 1 x2 cos x log cx
(C) 1 1 1 x2 cos x log cx
(D) 1 1 1 x2 cos x log cx
4. Let l1, l2 and l3 are the 3 normals to the parabola y2 = 4ax from point P inclined at the angle 1, 2 and
3 with x-axis respectively then the locus of point P, if 1 + 2 + 3 = (constant) will be (A) parabola (B) ellipse (C) hyperbola (D) straight line
This section contains 3 paragraphs, each describing theory, experiments, data etc. Six questions relate to the three paragraphs with two questions on each paragraph. Each question has only one correct answer among the four given options (A), (B), (C) and (D).
Paragraph for Question Nos. 11 to 12 Read the following write up carefully and answer the following questions: Let us consider the equation x2 (m 3) x + m = 0, (m R). 11. The set of values of m such that the given quadratic equation has one root smaller than '2' and the
other root greater than 2. (A) (, 10) (B) (10, ) (C) (, 10) (10, ) (D) (, 10) 12. The set of values of m such that the given quadratic equation has both roots greater then '2' (A) [10, ) (B) (9, 10) (C) [9, 10] (D) [9, 10)
Paragraph for Question Nos. 15 to 16 Read the following write up carefully and answer the following questions: (i) Let 1: a1x + b1y + c1z + d1 = 0 ; 2 : a2x + b2y + c2z + d2 = 0 3 : a3x + b3y + c3z + d3 = 0 These planes may (i) intersect in a common line (ii) may form a triangular prism (iii) may intersect in a point
Let 1 = 1 1 1 1 1 1
2 2 2 2 2 2 2
3 3 3 3 3 3
b c d a c db c d ; a c db c d a c d
3 = 1 1 1 1 1 1
2 2 2 4 2 2 2
3 3 3 3 3 3
a b d a b ca b d ; a b ca b d a b c
. If 4 0, then planes intersect in a point. If 4 = 0, then none
of 1, 2 and 3 is zero then the planes form a triangular prism and if 4 = 0 and one of 1, 2, 3 is zero, then the planes intersect in a line.
15. Let the equation of planes be x – y + z + 1 = 0, x + 3y + 2z – 3 = 0 and 3x + y + z – 2 = 0. The
above three planes intersect in a point if is not equal to (A) 3 (B) 2 (C) 4 (D) – 4 16. The above three planes in Q.36 from a triangular prism if is (A) 2 (B) 4 (C) 3 (D) –4
Match List Type (Only One Option Correct) This section contains four questions, each having two matching lists. Choices for the correct combination of elements from List-I and List-II are given as option (A), (B), (C) and (D) out of which one is correct.
17. Let n
nr 1
S r!
, then for n > 7 (Given 7
r 1r! 4340
). Match the following List-I with List-II
List – I List – II
(P) 1 nn
Stan tan S 8 18
1. 2 – 5
(Q) 1 nn
Scos cos S 8 18
2. 5 – 2
(R) The value of
1tan2 n
2n
nlim 2n 1
is 3. 2 + 2
(S) If n
n i 1
ln2i ln nlim lnk
n
, then ek + 2 is 4. 2 + 1
Codes: P Q R S (A) 2 1 3 4 (B) 4 3 2 1 (C) 1 2 3 4 (D) 2 1 4 3
18. Let 10 letters and envelope both numbered 1 to 10. Number of ways of placing letters in envelopes such that no letter goes to same numbered envelope is D(10) is equal to 1334961 without contradicting the above mention de-arrangement, match the following List-I with List-II
List – I List – II (P) The number of ways such that letter numbered 1 goes in
envelope number 10 is A, then A
D 10 is 1. 5
9
(Q) The probability that letter number 1 goes to envelope number 2 is P2 and to envelope number 9 is P9, then P2 + P9 is 2. 1
9
(R) The number of ways such that letter number 1 goes to even
numbered envelope is E, then E
D 10 is 3. 2
9
(S) The probability that letter number 1 goes to envelope number 3 and number 2 goes to envelope number 1 is P0, then 24P0 is 4. 1
3
Codes: P Q R S (A) 4 3 2 1 (B) 2 3 1 4 (C) 2 3 4 1 (D) 1 2 3 4 19. Match the equation in List-I with the number of solutions in List-II
List – I List – II (P) cos ax + cos bx = 2, (a 0, b 0) 1. Exactly one solution (Q) cos x + cos 2 x 2 2. At least one solution
(R) cos ax + cos bx = 1, (a 0, b 0) 3. No solution (S) cos x + cos x = –2 4. Infinite
Codes: P Q R S (A) 4 3 2 1 (B) 2 1 3 4 (C) 2 1 4 3 (D) 1 2 3 4
(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 option is correct. 1. A charge distribution that is spherically symmetric but not uniform radially produce an electric field of
magnitude E = kra, directed radially outward from the centre of the sphere, here k is positive constant and r is the radial distance from the centre. If be the volume density the charge distribution at a distance r from the centre, then
(A) a 1r (B) a 1r
(C) 2ar (D) a 2r 2. Sound waves of frequency f are sent at speed v from a stationary transmitter and are received back
at the site of transmitter from a distant object moving towards the transmitter with speed u. The beat frequency due to superposition of transmitted and received wave by transmitter will be
(A) u fv
(B) 2u fv u
(C) u fv u
(D) u v fv u
3. An open organ pipe is vibrating in its fifth overtone. The distance between two consecutive points
where pressure amplitude is 12
times pressure amplitude at pressure antinodes, is 40 cm. Then the
length of open organ pipe is (Neglect end connection) (A) 3 m (B) 3.6 m (C) 4.2 m (D) 4.8 m
4. A charge q is placed at some distance along the axis of a uniformly charged disc of surface charge density . The flux due to the charge q through the disc is . The electric force on charge q exerted by the disc is
(A) (B) 4
(C) 2
(D) 3
5. A block of mass m is placed on a wedge of mass M. There is no friction
between the block and the wedge. The minimum coefficient of friction between the wedge and the ground so that wedge does not move, is
m
M
(A) 2
2mcos
M mcos
(B)
2
2msin
M mcos
(C) 2mcos sinM mcos
(D) 2mcos sinM msin
6. A charged particle of charge –q and mass m is connected to another charged
particle of charge +q and mass 2m by a massless rod of length . The assembly of charges is placed in a uniform electric field of magnitude E such that the rod is perpendicular to the electric field. Now the rod is released. Find the speed of the negatively charged particle when the rod become parallel to the electric field
7. A glass capillary of length and inside radius r (r << ) is submerged vertically
into water. The upper end of the capillary is sealed. The atmospheric pressure is p0. To what length h has the capillary to be submerged to make the water levels inside and outside the capillary coincide. Assume that temperature of air in the capillary remains constant. (given, surface tension of water = T, angle of contact between glass water interface = 0)
h
(A) 0p r
1T
(B) 0p r
12T
(C) 0p r
14T
(D) 02p r
1T
8. The refractive index n of a medium within a certain region x > 0, y > 0
changes with y till it acquires a value nmax. After it acquires the value nmax it remains constant. A light ray travelling in air, strikes the medium at a grazing angle and moves through the medium along a circular arc as shown in the figure. If angular deviation of the ray before it starts moving on a straight line is 60°, then nmax is
9. In a YDSE experiment, the two slits are covered with a
transparent membrane of negligible thickness which allows light to pass through it but does not allow water. A glass slab of thickness t = 0.41 mm and refractive index
0 1.5 is placed in front of one of the slits as shown in the figure. The separation between the slits is d = 0.30 mm. The entire space to the left of the slits is filled with water of refractive index w 4 / 3.
Screen
D
Water
30 o
S1
0 s s2
A coherent light of intensity I and absolute wavelength 5000 Å is being incident on the slits
making an angle 30° with horizontal. If screen is placed at a distance D = 1m from the slits, the position of central maxima will be (approximately)
(A) 0.6 cm above the central line of slits (B) 0.6 cm below the central line of slits (C) 1.6 cm above the central line of slits (D) 1.6 cm below the central line of slits 10. An object is projected vertically upwards. It explodes at the topmost point of its trajectory into three
identical fragments. One of the fragments comes straight down in time t1 while the other two lands at a time t2 after explosion. Height at which the explosion occurred is equal to
This section contains 3 paragraphs, each describing theory, experiments, data etc. Six questions relate to the three paragraphs with two questions on each paragraph. Each question has only one correct answer among the four given options (A), (B), (C) and (D).
Paragraph for Questions 11 & 12
An insulated conducting spherical shell is exposed to a radiation of wavelength . The threshold wavelength of the conducting shell is,
0 . Since energy of incident photon is greater than threshold energy, the emission of photoelectrons will occur and due to it sphere gets charged and its potential becomes V0 and at this moment emission of photoelectrons stops. A parallel plate capacitor of capacitance C0 is connected to shell through a switch.
0C R
Insulating stand
(Given: 7hc 12 10 V m,e
04000Å, 6000Å, 0C 2 F,R 18cm )
11. By closing the switch a capacitor is connected to sphere as shown in figure. The charge on the
capacitor after long time is (in C ) (A) 2 (B) 0.5 (C) 1 (D) 10–5
12. When potential of the conducting shell is 0V ,2
the maximum kinetic energy of the emitted
photoelectrons when they are far from the conducting shell, will be (in eV) (A) 2 (B) 0.5 (C) 1 (D) 10–5
Paragraph for Questions 13 & 14 Figure shows a two branched parallel circuit with RA = 8 , XL = 6 , RB = 6 and XC = 8 . The current supplied by alternating source V is I = 14 A. (take sin 37 = 3/5)
~
V
RA
RB
XL
XC
I 13. Current passing through the resistor RA is (A) 5A (B) 7A (C) 72 A (D) 10 A 14. Power dissipated in the circuit is (A) 686 W (B) 1372 W (C) 920 W (D) 1500 W
Paragraph for Questions 15 & 16
Two particle P and Q each of mass m are connected by a light inextensible string of length a. The string lies over a smooth fixed cylinder of radius ‘a’ whose axis is horizontal so that the string is just taut and each particle is in level with the axis of the cylinder. The system is slightly displaced so that P begins to fall vertically when the radius vector joining to Q has turned through an angle from its initial position and Q is still in contact with cylinder the common speed of the particle P and Q is v. At this instant, 15. The normal force exerted by cylinder to the Q is (A) mg (B) mg(2sin ) (C) 2mg sin (D) mg cos 16. The magnitude of acceleration of P is
Match List Type (Only One Option Correct) This section contains four questions, each having two matching lists. Choices for the correct combination of elements from List-I and List-II are given as option (A), (B), (C) and (D) out of which one is correct. 17. An object O (real) is placed at focus of an equi-biconvex lens as shown
in figure. The refractive index of lens is 1.5 and the radius of curvature of either surface of lens is R. The lens is surrounded by air. In each statement of List-I some changes are made to situation given above and information regarding final image formed as a result is given in List-II. The distance between lens and object is unchanged in all statements of List-I. Match the statements in List-I with resulting image in List-II.
air
air R R
O
f
List I List II
P. If the refractive index of the lens is doubled (that is, made 2 ) then 1. Final image is real
Q. If the radius of curvature is doubled (that is made 2R) then 2. Final image is virtual
R.
If a glass slab of refractive index = 1.5 is introduced between the object and lens as shown, then
slab
R R O
3. Final image becomes bigger in size in comparison to size of image before the change was made
S.
If the left side of lens is filled with a medium of refractive index = 1.5 as shown, then
R R O Air
4. Final image is of same size of object.
Code: P Q R S (A) 3 1 4 2 (B) 1 2 2 3 (C) 1 2 3 3 (D) 2 1 4 3
18. In the shown experimental setup to study photoelectric effect, two conducting electrodes are enclosed in an evacuated glass-tube as shown. A continuous parallel beam of monochromatic light, falls on photosensitive electrodes. The emf of battery shown is high enough such that all photoelectrons ejected from left electrode will reach the right electrode. Under initial conditions photoelectrons are emitted. As changes are made in each situation of List-I; Match the statements in List-I with results in List-II.
Parallel beam of light
List I List II P. If frequency of incident light is increased
keeping its intensity constant. 1. magnitude of stopping potential will
increase Q. If frequency of incident light is increased and
its intensity is decreased (but not zero) 2. Current through circuit may stop
R. If work function of photo sensitive electrode is increased.
3. Maximum kinetic energy of ejected photoelectrons will be constant
S. If intensity of incident light is increased keeping its frequency constant
4. Saturation current will increase
Code: P Q R S (A) 1 1 2 4 (B) 1 2 2 3 (C) 1 2 3 3 (D) 2 1 4 3
thermodynamic cyclic process ABCA as shown in V–T diagram. During the process B C VT2 = constant and during the process C A, VT3/2 = constant. Match the process given in List-I with the statements given in List-II.
C
A
B V
T List – I List – II
(P) During the process B C (1) Work done by gas is zero (Q) During the process C A (2) Heat is supplied to the gas (R) During the process A B (3) Heat is rejected by the gas
(S) During the entire cyclic process A B C A (4) Heat change Q is zero
Codes: P Q R S (A) 4 4 2 3 (B) 4 3 2 3 (C) 3 4 2 3 (D) 4 3 2 4 20. Match the physical quantities from List I with the dimensions in List II and select the correct answer
using the code given below the Lists. List – I List – II
(P) Magnetic Flux (1) 2 2 2ML T A
(Q) Inductance (2) 2 2MLT A
(R) Electric Flux (3) 2 2 1ML T A
(S) Permeability (4) 3 3 1ML T A Codes: P Q R S (A) 3 1 2 4 (B) 3 1 4 2 (C) 1 2 3 4 (D) 2 3 1 4
