Sri Chaitanya IIT Academy, India: Paper-Ii
Sri Chaitanya IIT Academy, India: Paper-Ii
Sri Chaitanya IIT Academy, India: Paper-Ii
PAPER-II
21-04-16_ Sr.IPLCO/IC/ISB/LIIT _GTA-5_Weekend Syllabus
Mathematics : Total Syllabus
JEE-ADVANCE-New Model-VII-P2-Model
Time: 02:00 PM to 05:00 PM IMPORTANT INSTRUCTIONS Max Marks: 336
MATHS:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Multiple Correct Type
Sec – I(Q.N : 1 – 8) 6 -3 8 48
(For every option +1.5/-0.75)
Sec – II(Q.N : 9 – 16) Questions with Integer Answer Type (0-9) 4 -1 8 32
Sec – III(Q.N : 17 – 20) Matrix Matching (+2/-1 for every match) 8 -4 4 32
Total 20 112
PHYSICS:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Multiple Correct Type
Sec – I(Q.N : 21 – 28) 6 -3 8 48
(For every option +1.5/-0.75)
Sec – II(Q.N : 29 – 36) Questions with Integer Answer Type (0-9) 4 -1 8 32
Sec – III(Q.N : 37 – 40) Matrix Matching (+2/-1 for every match) 8 -4 4 32
Total 20 112
CHEMISTRY:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Multiple Correct Type
Sec – I(Q.N : 41 – 48) 6 -3 8 48
(For every option +1.5/-0.75)
Sec – II(Q.N : 49 – 56) Questions with Integer Answer Type (0-9) 4 -1 8 32
Sec – III(Q.N : 57 – 60) Matrix Matching (+2/-1 for every match) 8 -4 4 32
Total 20 112
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Sri Chaitanya Narayana IIT Academy 21-04-16_Sr.IPLCO_JEE-ADV_(New Model-VII_P2)_GTA-5_Q.P
p a1 a2 a3 ........ a6
last coefficients Co and Cn have opposite signs. Then f x 0 , for atleast one
positive x.
A) z z 1 B) z z 2 C) arg z D) arg z
3
11. Three boxes are labeled as x, y, z and each box contains 5 balls numbered 1, 2, 3, 4,5 ,
the balls in each box are well mixed. One ball is chosen at random from each of
three boxes x, y, z and if , , are numbers on the ball respectively chosen then P
is probability that then the value of 25P
12. AB is a diameter of a circle of unit radius. AB is extended to a point C. The
tangent from C, to the circle meets it at T. P is the foot of perpendicular from B on
the line CT. The maximum value of AP is k then k ……..(where [.] denotes
G.I.F)
a circle with centre 0, 0 and radius 1 and (|p|<3) ,then the number of distinct real
14. If a, b, c are any three non-coplanar unit vectors such that a b c 1
;
a b
K1 ; K 2 c and K i 2 K i 1 K i then the value of K 2014 K 2013 K 2012
2
SECTION - III
(MATRIX MATCHING ANSWER TYPE)
This section contains 4 questions. Each question has four statements (A, B, C and D) given in Column I and four statements (P, Q, R and
S) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in Column II. For
example, if for a given question, statement B matches with the statements given in Q and R, then for the particular question darken the
bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and 0 if not
attempted and -1 in all other cases.
Column I Column II
A continuous and differentiable
function y f x is such that its graph
A) cuts the line y px q at 6 distinct P) 1
points then the minimum number
points at which f '' x 0 is……..
Number of positive root(s) of the
1
equation f x 3
3 x sin x 0
x 1
B) Q) 3
is/are m & negative root(s) of the
equation f x 0 is/are n then
3m n ………
Number of real roots of the equation
6
ai2
C) xb c, ai 0 ( c is a constant) R) 4
i 1 i
Where b1 b2 b3 b4 b5 b6
Let A aij 1 i , j 3 be a 3 3
matrix and B bij 1 i, j 3 be a
D) 3 S) 5
3 3 matrix such that bij aik a jk . If
k 1
A) x 2 y P) 5
Vertices of ellipse 1 are the foci of the hyperbola
p2 q 2
x 2 y
1 and vertices of hyperbola are the foci of
P2 Q2
1
ellipse. If the eccentricity of ellipse is and t1 , t2 is the
2
9t12
value of is __
t22
1) for 0 A , A sec A
6 3 3
2) for 0 C , D , C cos ecC D cos ecD
4 2
3) for 0 E , F , G , E cot E F cot F G cot G &
3 3
5 k _____
v v
Fig-1 Fig-2
dE dE
D) Changes periodically, while remain zero all the time
dx at A dx at B
23. Figure shows a long fixed container which has two freely movable (without
friction) pistons. The container and pistons are made up of a thermally conducting
material, that allows very slow transfer of heat. First compartment of container is
filled with 2 moles of an ideal monoatomic gas at 200K and the 2nd compartment
is filled with 1 moles of ideal diatomic gas at 500K. Initially pressure of gases in
compartment-1 compartment-2
A) Heat transferred by gas in compartment -2 to the atmosphere is 700R
B) Heat transferred by gas in compartment -2 to the atmosphere is 500R
C) Work done by gas in compartment -2 on the gas in compartment -1 is 200R
D) Net heat transferred to gas in compartment -1 is 500R
24. A spherical glass vessel filled with liquid is kept in uniform gravity. Horizontal
surface represents meniscus of liquid. Now complete system is kept in a gravity
free space. Select correct statement(s)
S2
30. A neutral conducting solid sphere of radius 2m is placed such that its centre is 4m
from a point charge q =2mC. The electric field intensity just outside at a point A
on the sphere is found to be 2 N/C. If the induced charges per unit area at A is x o .
Find the value of x.
4m
A q
32. Two inclined planes OA and OB intersects at ‘O’ at 90º as shown in figure. An
elastic ball is released at a point at perpendicular distances 16m and 2m from
plane OA and OB respectively. All collisions are elastic.
2m
16m
B
A
O
On an average, how many times does the ball bounce on plane OB for each time it
bounces on plane OA ?
[g=10 m/s2,angle made by plane OA with horizontal is tan-1(2)]
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Sri Chaitanya Narayana IIT Academy 21-04-16_Sr.IPLCO_JEE-ADV_(New Model-VII_P2)_GTA-5_Q.P
33. The velocities of A and B are marked in the figure. Find the velocity of block C in
m/s (assume that the pulleys are ideal and string inextensible).
34. A sphere of radius R carries charge such that its volume charge density is
proportional to the square of the distance from the centre. What is the ratio of the
magnitude of the electric field at a distance 2R from the centre to the magnitude of
the electric field at a distance of R/2 from the centre (i.e. Er 2 R / Er R/ 2 )?
35. A table-tennis player moves his bat up and down in such a way that the ball
always bounces to a height of 0.45 m from the bat. Coefficient of restitution is 0.5.
What is the speed (in m/s) of the bat when hitting the ball? (The mass of the ball is
much less than that of the bat and air resistance is also negligible.)
36. A uniform rigid rod hinged at one end is released from rest in the position shown
in the vertical plane. Find the magnitude of reaction force (in N) at hinge just after
its release. Express your answer after rounding it to nearest integer. (Use : M =
0.8kg., = 45°, g = 10 m/s2 )
45°
SECTION - III
(MATRIX MATCHING ANSWER TYPE)
This section contains 4 questions. Each question has four statements (A, B, C and D) given in Column I and four statements (P, Q, R and
S) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in Column II. For
example, if for a given question, statement B matches with the statements given in Q and R, then for the particular question darken the
bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and 0 if not
attempted and -1 in all other cases.
37. An ideal mono atomic gas undergoes different types of processes which are
described in column-I. Match the corresponding effects in column-II. The letters
have their usual meaning
Column I Column II
A) Graphical representation of pressure P) Maximum kinetic energy at B
variation in both end open organ pipe.
A B C
1 3 x
Column I Column II
(A) v1 iˆ ˆj , v2 2 iˆ p) Pure rotation about centre
(B) v1 iˆ ˆj , v3 iˆ q) Rolling without slipping to left
(C) v2 iˆ , v3 0 r) Rolling without slipping to right
(D) v4 0, v1 iˆ ˆj s) Not possible
40. Column I Column II
Column I Column II
Continuous energy distribution
A) -decay P)
with dark lines in between
Continuous energy distribution
B) -decay Q)
with sharp peaks in between.
C) Absorption spectrum of Hydrogen R) Continuous energy distribution
D) X-rays S) Discrete energy distribution
41.
A is an organic product. Choose the correct option regarding this reaction?
A) CH3Cl is formed by SN1 process.
B) CH3Cl is formed by SN2 process
C) A is 2-chloro butane and is formed by SN2
D) A is 2-chloro butane and is formed by SN1
42. Which of the following statement(s) is/are incorrect?
A) Gold sol is prepared the way ferric hydroxide sol is prepared.
B) From mixed salt of AgCl and AgI, NH4OH solution dissolves only AgCl.
C) spondumene is an example of sheet silicate with 2 oxygen atoms shared per
tetrahedron
D) On strong heating Na2S2O3.5H2O, a polysulphide is formed.
58.
Column– I Column– II
(a) Pb2+ (p) Black precipitation with Na2S solution
(b) Cu2+ (q) Highest no of oxides are there for the metal
(c) Mn2+ (r) Pseudo inert–gas configuration
(d) Ag+ (s) White ppt with NaOH which turns light brown
volatile liquids
volatile liquids
solute
d) s) Stoichiometric defect