CONCEPT RECAPITULATION TEST - IV Paper 1

Question Paper 16 Pages
Exam Joint Entrance Examination (Advanced)
Concept Recapitulation Test
HHP

Contributed by

Heena Hari Pandey
Loading
  • FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
    website: www.fiitjee.com
    CONCEPT RECAPITULATION TEST - IV
    Paper 1
    Time Allotted: 3 Hours Maximum Marks: 180
    Please read the instructions carefully. You are allotted 5 minutes
    specifically for this purpose.
    You are not allowed to leave the Examination Hall before the end of
    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 sections: 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 to 10) contains 10 multiple choice questions which have only one correct answer.
    Each question carries +2 marks for correct answer. There is no negative marking.
    Section-A (11 to 15) contains 5 multiple choice questions which have more than one correct
    answer. Each question carries +4 marks for correct answer and – 1 mark for wrong answer.
    (ii) Section-C (01 to 05) contains 5 Numerical based questions with answers as numerical value
    and each question carries +4 marks for correct answer and – 1 mark for wrong answer.
    Name of the Candidate
    Enrolment No.
    ALL INDIA TEST SERIES
    FIITJEE
    JEE (Advanced), 2014
    From Classroom/Integrated School Programs
    7 in Top 20, 23 in Top 100, 54 in Top 300, 106 in Top 500 All In
    dia Ranks & 2314 Students from Classroom
    /Integrated School Programs & 3723 Students from All Programs have been Awarded a Rank in JEE (Advanced), 2013

    Page 1

  • AITS-CRT-IV(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/s
    2
    Planck constant h = 6.6 10
    34
    J-s
    Charge of electron e = 1.6 10
    19
    C
    Mass of electron m
    e
    = 9.1 10
    31
    kg
    Permittivity of free space
    0
    = 8.85 10
    12
    C
    2
    /N-m
    2
    Density of water
    water
    = 10
    3
    kg/m
    3
    Atmospheric pressure P
    a
    = 10
    5
    N/m
    2
    Gas constant R = 8.314 J K
    1
    mol
    1
    CHEMISTRY
    Gas Constant R = 8.314 J K
    1
    mol
    1
    = 0.0821 Lit atm K
    1
    mol
    1
    = 1.987 2 Cal K
    1
    mol
    1
    Avogadro's Number N
    a
    = 6.023 10
    23
    Planck’s constant h = 6.625 10
    34
    Js
    = 6.625 10
    –27
    ergs
    1 Faraday = 96500 coulomb
    1 calorie = 4.2 joule
    1 amu = 1.66 10
    –27
    kg
    1 eV = 1.6 10
    –19
    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.

    Page 2

  • AITS-CRT-IV(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
    P
    P
    h
    h
    y
    y
    s
    s
    i
    i
    c
    c
    s
    s PART – I
    SECTION – A
    Single Correct Choice Type
    This section contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D)
    out of which ONLY ONE is correct.
    1. In a capillary tube placed inside the liquid of density ()in a container, the rise
    of liquid is h. When block of density ‘’ is placed on the liquid as shown in
    figure, liquid in the tube is h. If < then
    (A) h = h (B) h < h
    (C) h > h (D) insufficient data
    h
    2. Two points A and B are at distances of ‘a’ and ‘b’ respectively from an infinite conducting plate
    having charge density . The work done in moving charge Q from A to B is
    (A)
    0
    Q
    (b a)
    (B)
    Q
    (b a)
    (C)
    0
    Q
    (b a)
    (D) none of these
    3. A point charge of 0.1C is placed on the circumference of a non-conducting ring of radius 1m
    which is rotating with a constant angular acceleration of 1 rad/sec
    2
    . If ring starts it’s motion at t =
    0 the magnetic field at the centre of the ring at t = 10 sec, is
    (A) 10
    6
    T (B) 10
    7
    T
    (C) 10
    8
    T (D) 10
    7
    T
    4. A small sphere and a big sphere are released from rest with a very
    small gap from height h as shown in the figure. The mass of bigger
    sphere is very large as compared to mass of smaller sphere. The height
    from the point of collision of smaller sphere with the bigger sphere to
    which the smaller sphere will rise if all the collisions are elastic
    (A) 2h (B) 4h
    (C) 6h (D) 9h
    h
    Space for Rough work

    Page 3

  • AITS-CRT-IV(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
    4
    5. The distance between two parallel plates of a capacitor is a. A
    conductor of thickness b(b < a) is inserted between the plates
    as shown in the figure. The variation of effective capacitance
    between the surfaces of conductor and plate as a function of
    the distance (x) is best represented by
    a
    b
    x
    (A)
    (a- b)
    C
    x
    (B)
    (a - b)
    C
    x
    (C)
    (a
    –
    b)
    C
    x
    (D)
    (a
    –
    b)
    C
    x
    6. Three blocks A, B and C having masses m kg 2kg and 3 kg are attached by
    massless strings and ideal pulleys as shown in the figure. When the system is
    released from rest if the block ‘A’ remains stationary , the mass of block ‘A’ is
    (A) 2.2 kg (B) 2.6 kg
    (C) 2.4 kg (D) 4.8 kg
    B
    C
    A
    7. A block of mass 2 kg is attached to one end of a massless rod of length
    1
    m
    . The rod is fixed to
    a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal
    plane. The coefficient of friction between the block and surface is 0.1. Block is made to rotate
    with uniform angular speed by applying a constant external force in tangential direction on the
    block. The work done by external force till the rod rotates by 90
    0
    is
    (A) 0 (B) 10 joule
    (C)
    joule
    2
    (D) 1 joule
    Space for Rough work

    Page 4

  • AITS-CRT-IV(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
    5
    8. One mole of a monoatomic gas is taken from P to R, via
    three paths PQR, PR and PSR. If work done by the gas
    in PQR is W
    1
    , in PR work done is W
    2
    and in PSR work
    done is W
    3
    , then
    (A) W
    2
    > W
    3
    > W
    1
    (B) W
    1
    > W
    2
    > W
    3
    (C) W
    2
    > W
    1
    > W
    3
    (D) W
    3
    > W
    2
    > W
    1
    P
    Q
    R
    S
    T
    V
    9. A block of wood of relative density 0.5 is placed 10 m inside a vessel containing water. The
    vessel is accelerated upward with an acceleration of 10 m/s
    2
    . If the block is released at some
    instant, then the time taken by block to reach the surface of water from that instant is (g = 10
    m/s
    2
    )
    (A) 0.5 sec (B) 1 sec
    (C) 2 sec (D) none of these
    10. An insect of negligible mass is sitting on a block of mass M, tied with
    a spring of force constant k. The block performs simple harmonic
    motion with amplitude A infront of a plane mirror placed as shown in
    the figure. The maximum speed of insect relative to its image will be
    (A) A
    k
    m
    (B)
    A 3 k
    2 m
    (C)
    k
    A 3
    m
    (D)
    m
    A
    k
    M
    60
    Space for Rough work

    Page 5

  • AITS-CRT-IV(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
    6
    Multiple Correct Answer(s) Type
    This section contains 5 multiple choice questions. Each question has four choices (A), (B), (C) and (D)
    out of which ONE or MORE are correct.
    11. When an electron of hydrogen like atom jumps from a higher energy level to a lower energy level.
    Then,
    (A) angular momentum of the electron remains constant.
    (B) kinetic energy increases.
    (C) wavelength of de-Broglie wave, associated with motion of the electron, decreases.
    (D) all of the above
    12. If the filament current in Coolidge tube is increased by increasing the voltage in the filament
    circuit then
    (A)
    min
    remain same (B) Max. K.E. of electron not affected.
    (C) Intensity increases (D) Intensity decreases
    13. A parallel plate capacitor of plate area 0.2 m
    2
    and spacing 10
    -2
    m is charged to 10
    3
    volt and then
    disconnected from the battery, and pulled apart to double the plate spacing
    (A) work required to pull the plate is 8.8 10
    -5
    J
    (B) final voltage on the capacitor is 2 10
    3
    Volts.
    (C) Final charge on the capacitor becomes two times of initial
    (D) final charge becomes half of initial value.
    14. Two particles A and B are projected simultaneously in the
    direction shown in the figure with velocities v
    A
    = 20 m/s and
    v
    B
    = 10 m/s respectively. They collide in air after 1/2 sec.
    Then
    (A) the angle is 60
    (B) the distance x is 5
    3
    m
    v
    A
    = 20 m/s
    v
    B
    = 10 m/s
    x
    (C) the angle is 30
    (D) The distance x is
    15 3
    m
    15. A uniform square plate of mass m and edge a initially at rest starts rotating about one of the edge
    under the action of a constant torque . Then at the end of the 5
    th
    sec after start
    (A) angular momentum is equal to 5 (B) kinetic energy is equal to
    2
    2
    75
    ma
    (C) angular momentum is equal to 2.5 (D) kinetic energy is equal to
    2
    2
    75
    2ma
    Space for Rough work

    Page 6

  • AITS-CRT-IV(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
    7
    SECTION –C
    Integer Answer Type
    This section contains 5 questions. The answer to each of the questions is a single-digit
    integer, ranging from 0 to 9. The appropriate bubbles below the respective question
    numbers in the ORS have to be darkened. For example, if the correct answers to question
    numbers X, Y, Z and W (say) are 6, 0, 9 and 2, respectively, then the correct darkening of
    bubbles will look like the as shown.
    0
    0
    0
    0
    1
    1
    1
    1
    2
    2
    2
    2
    3
    3
    3
    3
    4
    4
    4
    4
    5
    5
    5
    5
    7
    7
    7
    7
    8
    8
    8
    8
    9
    9
    9
    9
    6
    6
    6
    6
    X
    Y
    Z
    W
    1. A light rod of length L, is hanging from the vertical smooth wall of a vehicle moving with
    acceleration
    3
    g having a small mass attached at it’s one end is free to rotate about an axis
    passing through the other end. The minimum velocity given to the mass at it’s equilibrium position
    so that it can complete vertical circular motion is
    KgL
    . Find the value of K.
    2. Find energy stored in the capacitor in it’s steady state.
    C R
    R
    E
    3. The potential difference between two points A and B which are separated by a distance of 1m
    along the field in a uniform electric field of 10NC
    -1
    is 5K Volt. Find the value of K.
    4. The power factor of a circuit in which a box having unknown electrical devices connected in
    series with a resistor of resistance 3 is 3/5. Find the reactance of the box in .
    5. In the given circuit the reading of ideal voltmeter is E/2.
    Find the internal resistance of the battery in .
    r
    E
    2
    1
    V
    E
    Space for Rough work

    Page 7

  • AITS-CRT-IV(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
    8
    C
    C
    h
    h
    e
    e
    m
    m
    i
    i
    s
    s
    t
    t
    r
    r
    y
    y PART – II
    SECTION – A
    Straight Objective Type
    This section contains 10 multiple choice questions numbered 1 to 10. Each question has 4 choices (A),
    (B), (C) and (D), out of which ONLY ONE is correct.
    1. K
    c
    for the reaction [Ag(CN)
    2
    ]
    -1
    Ag
    +
    + 2CN
    -
    , the equilibrium constant at 25
    o
    C is 4 × 10
    -19
    ,
    then the silver ion concentration in the solution which was originally 0.1 M in KCN and 0.03 M in
    AgNO
    3
    is
    (A) 7.5 × 10
    18
    (B) 7.5 × 10
    -18
    (C) 7.5 × 10
    19
    (D) 7.5 × 10
    -19
    2. A gas in an open container is heated from 27
    o
    C to 127
    o
    C. The fraction of the original amount of
    gas left in the container would be:
    (A) 3/4 (B) 1/2
    (C) 2/3 (D) 7/8
    3. Consider the equilibrium,
    2 2
    2CO g O g 2CO g heat
    
    If O
    2
    is added and volume of the reaction vessel is increased, the equilibrium will
    (A) shift in forward direction (B) shift in backward direction
    (C) remain unchanged (D) be unpredictable
    4. If the energy of H-atom in the ground state is – E, the velocity of photo electron emitted when a
    photon having energy E
    p
    striked a stationary Li
    2+
    ion in ground state, is given by:
    (A)
    p
    2 E E
    V
    m
    (B)
    p
    2 E 9E
    V
    m
    (C)
    p
    2 E 9E
    V
    m
    (D)
    p
    2 E 3E
    V
    m
    Rough Work

    Page 8

  • AITS-CRT-IV(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
    9
    5.
    NO
    2
    OH
    OH
    OH
    2 2
    CH N
    1eqv.
    A, A is :
    
    (A)
    OCH
    3
    OHNO
    2
    OH
    (B)
    OH
    OHNO
    2
    OH CH
    3
    (C)
    OH
    OHNO
    2
    H
    3
    CO
    (D)
    OH
    ONO
    2
    OH
    CH
    3
    6.
    H
    2
    C C
    O
    NH
    2
    HC C
    6
    H
    4
    NH C
    O
    CH
    3
    H
    2
    C NH CH
    CH
    3
    CH
    2
    NH
    2
    IV
    III
    I
    II
    Arrange the above mentioned nitrogen atoms of the compound in decreasing order of basic
    nature?
    (A) I > II > IV > III (B) II > I > IV > III
    (C) II > I > III > IV (D) I > IV > III > II
    7. Which of the following compounds can form silicones on hydrolysis?
    (A) (CH
    3
    )
    2
    SiCl
    2
    (B) (SiH
    3
    )
    3
    N
    (C) SiCl
    4
    (D) All of the above
    Rough Work

    Page 9

  • AITS-CRT-IV(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
    10
    8.
    Br
    CH
    2
    Br
    Br
    CH
    2
    Br
    Br
    4
    3
    2
    1
    5
    Arrange the above mentioned bromine atoms in decreasing order of their reactivity towards
    hydrolysis through S
    N
    1 path.
    (A) 2 > 1 > 5 > 4 > 3 (B) 5 > 2 > 1 > 3 > 4
    (C) 2 > 5 > 4 > 3 > 1 (D) 5 > 4 > 2 > 1 > 3
    9. Which of the following compounds on decomposition, releases two gases containing the same
    elements?
    (A) FeSO
    4
    (B) FeCO
    3
    (C) Fe(NO
    3
    )
    2
    (D) Fe(ClO
    3
    )
    2
    10. Gold number gives
    (A) amount of gold in colloid.
    (B) weight in mg of colloid required to break gold sol.
    (C) weight in mg of colloid to protect gold sol.
    (D) amount of NaCl required to coagulate gold sol.
    Rough Work

    Page 10

Download this file to view remaining 6 pages

Related documents:

logo StudyDocs
StudyDocs is a platform where students and educators can share educational resources such as notes, lecture slides, study guides, and practice exams.

Contacts

Email:

admin@studydocs.org

Links

Search

Resources

McqMate - MCQs portal

© 2025 StudyDocs. All Rights Reserved.