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    Brilliant Tutorials Pvt. Ltd. IIT/BMAT7/PMC(MAIN)- 1

    SEAL

    SEAL

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    BRILLIANTS

    FULL SYLLABUS TEST 7FOR OUR STUDENTS

    TOWARDS

    JOINT ENTRANCE EXAMINATION, 2013

    Time: 3 hours Maximum marks: 360IMPORTANT INSTRUCTIONS

    Name of the Candidate (in Capital letters) :_____________________________________________

    Roll Number: in figures

    : in words___________________________________________________________

    Examination Centre Number:

    Name of Examination Centre (in Capital letters):________________________________________

    Candidates Signature:____________________ Invigilators Signature:___________________

    1. The Test Booklet consists of 90questions. The maximum marks are 360.

    2. There are threeparts in the questions paper A, B, C consisting of Physics, Mathematics andChemistry having 30 questions in each part of equal weightage. Each question is allotted4(four) marks for each correct response.

    3. Candidates will be awarded marks as stated above in instruction No. 2 for correct response ofeach question. (one fourth) marks will be deducted for indicating incorrect response of eachquestion. No deduction from the total score will be made if no response is indicated for an itemin the answer sheet.

    4. There is only one correct response for each question. Filling up more than one response ineach question will be treated as wrong response and marks for wrong response will bededucted accordingly as per instruction 3 above.

    5. Use Blue/Black Ball Point Pen only for writing particulars / marking response on side-1 andside-2 of the Answer Sheet. Use of pencil is strictly prohibited.

    6. No candidate is allowed to carry any textual material printed or written, bits of papers, pager,mobile phone, any electronic device etc; except the Admit Card inside the examinationhall/room.

    7. Rough work is to be done on the space provided for this purpose in the Test Booklet only. Thisspace is given at the bottom of each page and in 3 pages at the end of the booklet.

    JEE 2013

    BMAT 7 (MAIN)

    Feb 2013

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    1. Two metallic plates A and B are kept

    parallel to one another and charges are

    given to them as shown in figure. The

    plate B is earthed, after charging. Then

    4 C

    10 C

    (1) The charge on the opposite faces of

    A and B is 6 C.

    (2) The charge that flows to the earthfrom B is 2 C.

    (3) The charge that flows from the earth

    to the plate B is 3 C.

    (4) The charge on the outer face of A is

    7 C.

    2. A network of six identical capacitors,

    each of value C, is made as shown in

    figure below. What is the equivalent

    capacitance between A and B?

    (1)5C

    2 (2)

    3C

    2

    (3)7C

    2 (4)

    C

    2

    3. For the charge configuration shown in

    figure, the potential at r for points on the

    vertical axis, assuming >>r d,is given by

    =

    0

    1k

    4

    (1) ( )

    = +

    q 2dV r k 1

    r r

    (2) ( )

    =

    q 2dV r k 1

    r r

    (3) ( )

    =

    q 2dV r k 1

    r r

    (4) ( ) ( )= V r k qr r 2d

    PART A: PHYSICS

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    4. Two particles A and B start moving

    simultaneously along the line joiningthem in the same direction with acc-

    eleration of 21m/s and 22 m / s and

    speeds 3 m / s and 1m/s respectively.

    Initially A is 10 m behind B. What is the

    minimum distance between them?

    (1) 3 m (2) 5 m

    (3) 6.5 m (4) 8 m

    5. A particle moves in the x y plane with

    constant acceleration directed along the

    negative y-axis. The equation of path of

    the particle has the form = 2y bx cx ,

    where b and c are positive constants. Find

    the velocity of the particle at the origin of

    coordinates. [Given = 2a 10 m/ s , b = 5

    and c = 13 1m ]

    (1) 110 ms (2) 18 ms

    (3) 16 ms (4) 111ms

    6. The system is pulled by a force F as

    shown in figure. All surfaces are smooth

    except between B and C. Friction

    coefficient between B and C is .

    Minimum value of F to prevent block B

    from downward slipping is

    (1)

    3mg

    2 (2)

    5mg

    2

    (3)

    5mg

    2 (4)

    3mg

    2

    7. Figure below shows two rectangular

    wave pulses travelling in opposite

    directions along a string at t = 0. What is

    the shape of the resultant wave pulse at

    t = 2s? [Amplitude of the pulses is the

    same]

    (1) (2)

    (3) (4)

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    8. A set of 55 tuning forks is arranged in

    series of increasing frequencies. If eachfork gives 3 beats with the preceding

    one and the sum of the frequencies of

    all the 55 forks is 13365 Hz, what is the

    frequency of the last fork?

    (1) 110 Hz (2) 256 Hz

    (3) 512 Hz (4) 324 Hz

    9. In the circuit given below, the ammeter

    and voltmeter are ideal measuring

    devices. Then the reading of the

    6 V

    A V

    12

    (1) ammeter is 2 A

    (2) voltmeter is 6 V

    (3) ammeter is 1 A

    (4) voltmeter is 0 V

    10. An 8 g bullet is fired into a 2.50 kg block

    that is initially at rest at the edge of a

    frictionless table of height 1m. The bullet

    remains in the block, lands 2m from the

    bottom of the table. Determine the initial

    speed of the bullet.

    (1) 2.01 km/s (2) 1.01 km/s

    (3)1.39 km/s (4) 3.21 km/s

    11. A potentiometer wire of length 1m has a

    resistance of 10 . It is connected in

    series with a resistance of 790 . The

    equivalent emf E of the network shown

    below is balanced across 40 cm length

    of the potentiometer wire. Then the

    value of 2E is

    =1E 10 mV = 1r 1.5

    = 2r 0.5

    2E

    (1)5 mV (2) 10 mV

    (3) 12 mV (4) 15 mV

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    12. A square of side 2.0m is placed in a uni-

    form magnetic field ( )= + + 0B B i j k . Equalcurrent =i 3.0 A is flowing in the

    directions shown in figure. Find the

    magnitude of magnetic force on the

    loop? =0[Given B 2T]

    (1) 24 N (2) 16 N (3) 12 N (4) 8 N

    13. A proton beam passes without deviation

    through a region of space where there is

    uniform transverse mutually r to

    electric and magnetic fields with

    =kV

    E 120m

    and =B 50 mT. Then the

    beam strikes a grounded target. Find

    approximately the force imparted by the

    beam on the target if the beam current

    is equal to C = 0.80 mA. [mass of proton

    = 271.6 10 kg and charge on the

    electron

    =

    19

    1.6 10 C ]

    (1) 58 10 N (2) 52 10 N

    (3) 54 10 N (4) 56 10 N

    14. The current induced in a coil of

    resistance 10 varies with time asshown in figurebelow. The total charge

    in flux in Webers through the coil i s

    ( )s

    s s s s

    (1) 31.6 10 (2) 30.8 10

    (3) 61.6 10 (4) 60.8 10

    15. A square loop of side 12 cm with its sides

    parallel to x and y axes is moved with a

    velocity of 0.8 cm/s in the positive x-

    direction in an environment containing a

    magnetic field in the positive z-direction.

    The field is varying with respect to time

    and space. The gradient of the field in the

    positive x-direction is 310 T /m . Its time

    rate of change is 310 T/ s . What is the

    magnitude of the induced emf?

    (1) 52.6 10 V (2) 51.8 10 V

    (3) 53.2 10 V (4) 54.1 10 V

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    16. If the charge that passes through a

    battery of V volt in one time constant ina series LR circuit, having L = 1 mH and

    = R 10 is 3.68 C, what is the voltage

    of the battery? = Givene 2.718

    (1) 2 V (2) 1V

    (3) 0.5 V (4) 2.5 V

    17. An electric lamp which runs at 100 V d.c

    and takes 10 A current is to be

    connected to a 200 V, 50 Hz a.c. supply.

    To run the lamp at its normal operating

    condition, a choke is used first and the

    power supplied by the battery iscomputed. The choke is then replaced

    by an additional resistance and the

    power supplied by the battery is

    computed. What is the ratio of the

    power supplied by the battery?

    (1) 2 (2) 1 (3)1

    2 (4)

    1

    4

    18. Figure below shows the plot of the

    stopping potential versus the frequency

    of the light used in an experiment on

    photoelectric effect. Then the ratio

    h

    e

    in units of 1510 Vs is

    sV

    14( 10 Hz)

    (1)1.52 (2) 2.82

    (3) 3.60 (4) 4.14

    19. An oil drop of mass 151.6 10 kg falls

    vertically with terminal velocity through

    air between two vertical parallel plateskept 2 cm apart. When a potential

    difference of 1000 volt is applied across

    the plates the drop is found to move

    towards the positive plate along a

    direction inclined at 0 to the vertical.

    Find the angle , if the charge on the

    drop is 193.2 10 C. [Given = k 6 a

    and = 2g 10 ms ]

    (1)45 (2) 30 (3)60 (4) 37

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    20. In a cancer therapy unit, patients are

    given treatment from a certainradioactive source. This source has a half

    life of 4 years. A particular treatment

    requires 10 minutes of irradiation when

    the source is first used. The time required

    for this treatment, using the same source

    2 years later is given by

    =

    n2

    nt 10 what

    is n?

    (1) 8 (2) 2 (3) 6 (4) 4

    21. A parallel beam of light is falling axially

    on a thin converging lens of focal length15 cm. The emergent light falls on a

    screen placed at 25 cm beyond the

    lens. An opaque plate with a circular

    aperture of radius 1 cm is placed in

    contact with the lens. What is the

    diameter of the image of the circular

    aperture on the screen when the screen

    is moved farther by 10 cm from its initial

    position?

    (1) 3.67 cm (2) 4.63 cm

    (3)2.67 cm (4) 0.67 cm

    22. A dam is 1270 m long and 160 m high.

    The electrical power output from the

    generators at the box is approximately

    2000 MW. What rate of water flow is

    necessary to produce this amount of

    power? = 2[g 10 ms ]. Express your

    answer in units of 6 110 kgs

    (1) 4.25 (2)6.25

    (3)2.25 (4) 1.25

    23. A student attempts to measure the radius

    of a steel ball to measure 4 identical

    balls in a row. The student estimates the

    position on the scale to be as follows,

    after gently removing ball numbered 3.

    ( )x 2.0 0.3 cm=

    ( )y 7.0 0.3 cm=

    If the radius of the ball that is removed is

    found to be ( )0.83 0.3 cm, what is the

    radius of each ball?

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    (1) ( )0.6 0.3 cm

    (2) ( )0.56 0.3 cm

    (3) ( )0.7 0.3 cm

    (4) ( )0.48 0.3 cm

    24. A vessel containing a liquid of density

    is placed in a lift moving with an upwardacceleration a. The hydrostatic pressureat a depth h below the free surface ofthe liquid will be

    (1) h g (2) ( ) +h g a

    (3) ( ) h g a (4) ( ) 1

    2 2 2h g a

    25. Figure below shows a bridge rectifierwith a sinusoidal alternating voltageapplied to it, the output terminals P andQ being joined together by a loadresistor. If the diode x were removedleaving a break in the circuit, whichtrace would be seen on a cathode-rayoscillograph across PQ?

    A

    B C

    x

    P Q

    (1) (2)

    (3) (4)

    26. Which of the following is not correct?

    (1) = +A B A B

    (2) + = A B A B

    (3) + = +A B A B AB AB

    (4) + =T T 1

    27. The gas in a vessel is subjected to a

    pressure of 20 atm at a temperature of

    27C. What is the pressure of the gas in

    the vessel after one half of the mass of

    the gas is released from the vessel and

    the gas is heated so that its pressure

    becomes 11.7 atm. What is the rise in

    temperature of the gas?

    (1)76C (2)62C

    (3)51C (4) 46C

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    28. A sinusoidal carrier wave of amplitude

    10 mV is modulated by a sinusoidalaudio signal of frequency sf . If the upper

    side band frequency is 10.009 MHz and

    the lower side band frequency is 9.991

    MHz what is the amplitude of the signal

    wave if amplitude of LSB is 2 mV?

    (1) 8 mV (2) 6 mV

    (3) 2 mV (4) 4 mV

    29. A one kg solid sphere rolls without

    slipping on a rough horizontal surface

    under the influence of a force F acting

    tangentially at the highest point of the

    sphere towards right. If the value offrictional force is 3 N, what is F?

    (1) 7 N (2)5 N

    (3)8 N (4) 10 N

    30. Two planets A and B have their radii as

    Ar and Br and average densities as A

    and B. Then the ratio of ( )A Bg / g , if Ar

    and B are doubled,

    (1)will increase

    (2) will decrease

    (3)will remain the same

    (4) will be independent of their periods

    of rotation.

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    31. If a, b, c are the sides of a triangle, then

    the range of+ +

    + +2 2 2ab bc ca

    a b cis

    (1) )1, 2 (2)

    1,1

    2

    (3)

    1, 2

    2 (4)

    1, 2

    2

    32. A mapping f : R R is defined by

    f(x) = (x 1) (x 2) (x 3). The mapping is

    (1) both one-one and onto

    (2) one-to one but not onto

    (3) onto but not one-to-one

    (4) neither one-to-one nor onto

    33. A sequence 1 2 3a , a , a , ...... na of real

    numbers is such that = = +1 2 1a 0, a a 1 ,

    = + = +3 2 n n 1a a 1 , ... , a a 1 . Then the

    least value of the arithmetic mean of

    1 2 na , a , ..., a is

    (1) 0 (2)1

    (3)1

    2 (4)

    1

    2

    34. If , are the roots of the equation

    ( ) + =2x p x 1 c 0, then the value of

    + + + ++

    + + + +

    2 2

    2 2

    2 1 2 1

    2 c 2 cis

    (1) 1 (2) 2 (3) 1 (4) 0

    35. If , , are the roots of + + =3x px q 0,

    then

    =

    (1)0 (2)p (3) q (4) 2p 2q

    36.

    + + + =

    1Lt n1 2 n

    n 1 1 .... 1n n n

    (1)e (2)1

    e

    (3)4

    e (4)

    8

    e

    37. The integrating factor of the differential

    equation =2 3 4dy

    x y x y cos xdx

    is

    (1) 3x (2) 3x

    (3) 4y (4) 4y

    PART B : MATHEMATICS

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    38. A circle touches the xaxis and also

    touches the circle with centre at (0, 3)and radius 2. The locus of the centre of

    the circle is

    (1) an ellipse (2) a circle

    (3) a hyperbola (4) a parabola

    39. If A(1, 2, 3), B(4, 5, 6) are two points, then

    the foot of the perpendicular drawn

    from the point B to the line joining the

    origin and point A is

    (1) (2, 5, 7) (2) (5, 9, 6)

    (3) (1, 2, 3) (4)

    16 32 48, ,

    7 7 7

    40. If S is the circumcentre, O is the ortho-

    centre of ABC, then

    + + =OA OB OC

    (1)

    SO (2)

    2 SO

    (3)

    OS (4)

    2 O S

    41. A student appears for tests I, II and III.

    The student is successful if he passes

    either in tests I and II or in tests I and III.

    The probabilities of the student passing

    in tests I, II and III are p, q and1

    2

    respectively. If the probability that the

    student is successful is1

    2, then

    (1) p = q = 1 (2) = =

    1

    p q 2

    (3) = =1

    p 1, q2

    (4) none of these

    42. If sin , sin , sin are in A.P and

    cos , cos , cos are in G.P then

    2 2cos cos 4 cos cos

    1 sin sin

    + =

    (1) 2 (2) 1 (3) 0 (4) 2

    43. If ( )1

    sin B sin 2A B ,5

    = + then( )tan A B

    tan A

    +

    is equal to

    (1)5

    3 (2)

    2

    3

    (3)3

    2 (4)

    3

    5

    44. The contrapositive of 'p q' is

    (1) p q (2) q p

    (3) p q (4) q p

    45. If A is a square matrix, and3 2A 3A 3A 0,+ + = then 2A 2A+ + is

    equal to

    (1) ( )1

    A

    + (2) 0

    (3) (4) none of these

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    46. The number of ways in which ten

    candidates 1 2 10A , A , ..., A can beranked so that 1A is always above 2A is

    (1)10!

    2 (2)10! (3) 9! (4)

    8!

    2

    47. The value of ( )1 1cos 2 cos x sin x + at1

    x5

    = is

    (1)2 6

    5 (2) 2 6

    (3)6

    5 (4)

    2 6

    5

    48. If ( ) ( ) ( )x a b y b c z c a = + +

    and

    =

    1a b c ,

    8then x + y + z =

    (1) ( ) + +

    8 . a b c (2) ( ) + +

    . a b c

    (3) ( )+ +

    8 a b c (4) ( ) + + 1

    . a b c8

    49. The number of solutions of the system

    of equations x y 1,+ = 2 2 2x y a ,+ =

    1 a 1,2

    < < is

    (1) (2) 8 (3) 4 (4) 2

    50. If the natural numbers are divided into

    groups of {1}, {2, 3}, {4, 5, 6}, {7, 8, 9, 10}, then the sum of 50 thgroup is

    (1) 65, 225 (2)56, 255

    (3) 62, 525 (4) 55,625

    51. The constant c of Langranges mean

    value theorem for f(x) = 2 sin x + sin 2 x in

    0, is

    (1)6

    (2)

    4

    (3)3

    (4)

    2

    52.

    ( )

    n

    on

    o

    x dx

    x dx

    =

    (1)1

    n 1 (2)

    1

    n

    (3) n (4) n 1

    53. The average mark of boys in a class is 52

    and that of girls is 42. The average marks

    of boys and girls combined is 50. The

    percentage of boys in the class is(1) 40 (2)80

    (3) 20 (4) 60

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    54. First 2n positive integers are assigned

    probability proportional to their loga-rithms. One of these integers is selected

    at random. It is being known that the

    selected integer is even. Probability of its

    being 2 is

    (1)2

    nlog 2 log n+

    (2)log 2

    nlog 2 log n+

    (3)log 2

    nlog 2 log n

    (4)( )

    log 2

    nlog 2 log n!+

    55. If is a non-real root of 6x 1,= then

    5 3

    2

    1

    1

    + + +=

    +

    (1) 2 (2)0 (3) 2 (4)

    56. Ifz

    w and w 1,1

    z i3

    = =

    then z lies on

    (1) an ellipse (2)a straight line

    (3) a circle (4) a parabola

    57. The number of rational terms in

    ( )+ +6

    31 2 3 is

    (1) 6 (2)7 (3) 5 (4)8

    58. If x is real, the maximum value of2

    2

    3x 9x 17

    3x 9x 7

    + +

    + +is

    (1) 1 (2)17

    7 (3)

    1

    4 (4) 41

    59. Locus of the centroid of triangle whosevertices are (a cos t, a sin t), (b sin t, bcos t) and (1, 0), where t is a pararmeter,is

    (1) ( ) ( )2 2 2 23x 1 3y a b + =

    (2) ( ) ( )2 2 2 23x 1 3y a b + = +

    (3) ( ) ( )2 2 2 23x 1 3y a b+ + = +

    (4) ( ) ( )2 2 2 23x 1 3y a b+ + =

    60. The sum of squares of the perpen-diculars on any tangent to the ellipse

    2 2

    2 2

    x y1

    a b+ = from two points on the minor

    axis at a distance 2 2a b from the

    centre is(1) 22a (2) 22b

    (3)2 2a b+ (4) 2 2a b

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    61. The number of significant figures in eachof the following numbers 653, 0.368 and0.0300 are respectively

    (1) 3, 3, 4 (2) 3, 4, 3

    (3) 3, 2, 3 (4) 3, 3, 3

    62. Which of the following statement is/are

    correct?

    (A) Vapour of a substance condenses

    to a liquid by applying pressure.

    (B) To liquefy a gas it must be cooled to

    its critical temperature and pressuremust be applied

    (C) At critical state, there is no dis-

    tinction between liquid and vapour

    state, hence density of the liquid is

    nearly equal to the density of the

    vapour

    (D) The critical temperature 2CO gas is

    304.10 K gaseous ammonia liquefies

    first when a mixture of ammonia and

    2CO gases are cooled

    (1) A, C and D (2) C and D

    (3) A, B and C (4) A, B, C and D63. During the adsorption of a gas on the

    surface of a solid, which of the following

    is/are true?

    (1) < > <

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    66. The common property among the

    species CN , CO and +NO are

    (1) Isoelectronic and weak field ligands

    (2) Isoelectronic and with bond order of

    three

    (3) Bond order two and are acceptor

    (4) Bond order three and weak field

    ligands

    67. The wrong statement about interstitial

    compound is

    (1) they are chemically inert and retain

    metallic conductivity

    (2) they are very hard

    (3) their bonds are neither ionic nor

    covalent

    (4) their melting points are lower than

    those of pure metals

    68. A decinormal aqueous solution of a

    weak electrolyte has a limiting

    equivalent conductance of 2400 S cm

    gram 1equivalent at 298 K is 2%

    ionised. The resistance of this solution (in

    ohms) in an electrolytic cell of cell

    constant 10.4cm at 298 is

    (1) 300 (2) 400 (3) 500 (4) 600

    69. In the estimation of sulphur by Carius

    method 0.480 g of an organic compoundgave 0.699 g of 4BaSO . The percentage

    of sulphur in the compound is (Atomic

    masses : Ba = 137, S = 32, O = 16)

    (1) 15% (2) 20% (3) 30% (4) 35%

    70. Which one of the following is the correct

    statement?

    (1) Glycine is optically active amino

    acid on L configuration.

    (2) Alanine is optically inactive amino

    acid.

    (3) Racemic lactic acid is optically

    active, it cannot be resolved.

    (4) Synthetic lactic acid from ethanal

    with HCN is optically inactive.

    71. In a cubic packed structure of mixed

    oxides, the lattice is made up of oxide

    ions, 1/5 of tetrahedral voids are

    occupied by divalent ( )+2X ions, while1/2 of octahedral voids are occupied by

    trivalent ions ( )+3Y , then the formula ofthe oxide is

    (1) 2 4XY O (2) 2 4X YO

    (3) 4 5 10X Y O (4) 10XYO

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    72. The enthalpy of vaporization of benzene

    is + 135.3 kJmol at its boiling point 80C.

    The entropy change in the transition of

    the vapour to liquid at its boiling point

    1 1in JK mol is

    (1) +441 (2) +220.5

    (3) +100 (4) 100

    73. The empirical formula of a non

    electrolyte is 2CH O . A solution con-

    taining 6 g of the compound exert the

    same osmotic pressure as that of 0.05 M

    aqueous glucose at the same

    temperature. The molecular formula ofthe compound is

    (1) 2 4 2C H O (2) 3 6 3C H O

    (3) 5 10 5C H O (4) 4 8 4C H O

    74. Peroxide ion .

    (A) has five completely filled anti-

    bonding molecular orbitals

    (B) is diamagnetic

    (C) has bond order one

    (D) is isoelectronic with neon

    Which of these is/are correct?(1) C and D (2) A, B and D

    (3)A, B and C (4) B and C

    75. Which of the following statements is

    wrong?

    (1) Liquid tends to rise or fall in a

    capillary tube.

    (2) Liquid has minimum molecules at

    the surface with minimum surface

    area

    (3) Surface tension and viscosity of

    liquid increase with increase of

    temperature

    (4) AgC is insoluble in water but

    soluble in 4NH OH and in KCN(aq).

    76. HBr and HI reduce 2 4H SO . HC can

    reduce 4KMnO and HF can reduce

    (1) 2 4H SO (2) 4KMnO

    (3) 2 2 7K Cr O (4)none of these

    77. RNA and DNA are chiral molecules, their

    chirality is due to

    (1) Chiral base

    (2) Chiral phosphate ester

    (3) D-sugar component

    (4) L sugar component

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    78. Which of the following statements is in-

    correct about the lanthanoidcontraction?

    (1) Lanthanoid contraction is the accu-

    milation of successive shrinkage of

    Ln and +nLn ions

    (2) As a result of lanthanoid contrac-

    tion, the properties of 4d series of

    transition elements have no similarity

    with 5d series of elements.

    (3) Shielding power of 4f electrons is

    quite weak

    (4) There is a decrease in the radii ofthe atoms or ions as one proceeds

    from La to Lu

    79. Aluminium chloride exists as dimer in

    solid state as well as in solution of

    nonpolar solvents. When dissolved in

    water, it gives.

    (1) + + 3A 3C

    (2) ( )

    + 3

    6A OH 3HC

    (3) ( )

    +

    +

    3

    2 6A H O 3C

    (4) + 2 3A O 6HC

    80. Which of the following is a chiral

    molecule?

    (1)

    CH3

    CH3

    (2)

    CH3

    CH3

    (3)

    CH3

    CH3

    (4)

    CH3

    H3C

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    81. Which one of the following is the most

    readily be hydrated in acid solutions?

    (1)

    OH

    (2)

    OHO

    (3)OH

    O

    (4)

    OH

    O

    82. Phenol associates in benzene partially. A

    solution containing 2 g phenol in 0.1 kg

    of benzene, decreased the freezing

    point by 0.69K, The percentage degree

    of dissociation of phenol is

    =

    1f 6 6K of C H 5.12 K kg mol

    (1) 50.1 (2) 42.3

    (3) 25.1 (4) 73.32

    83. -D glucopyranose and -gluco-

    pyranose are

    (1) epimers

    (2)anomers

    (3) diastereomers

    (4) meso compounds

    84. The brown ring test for 2NO and3NO

    due to the formation of complex ion

    with the structure is

    (1) ( )2

    26

    Fe H O+

    (2) ( )2

    5FeNO CN

    +

    (3) ( )

    ++

    +

    21

    12 5

    Fe H O NO

    (4) ( ) ( ) +

    2

    2 5Fe H O NO

    85. In the dichromate dianion,

    (1) 4 Cr O bonds are equivalent

    (2) 6 Cr O bonds are equivalent

    (3) All Cr O bonds are equivalent

    (4) All Cr O bonds are non-equivalent

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    86. Which of the following has both and

    metal carbon bonds?

    (1) Dibenzene chromium

    (2) Grignard reagent(3) Lead tetraethyl

    (4) Iron pentacarbonyl

    87. Set of pollutants which is non biode-

    gradable is

    (1) 2 2 2CO , SO , NO

    (2) BHC,DDT, heavy metals

    (3) 3 4 4CHC , CC , CH

    (4) Household rejects, sewage, plant

    remains

    88. PVC is a polymer of

    (1) 2 2CH CH=

    (2) 2CH CHC=

    (3) 2 2C CH CH C

    (4) C C CC

    89. Which statement is wrong in regard to

    ethanal and benzaldehyde?

    (1) Both react with hydroxylamine to

    form oxime.

    (2) Both react with HCN to form

    cyanohydrin

    (3) Both react with NaOH to form

    polymers

    (4) Both react with hydrazine to form

    hydrazones

    90. When arene diazonium halide is treated

    with fluoroboric acid, arene diazonium

    fluoroborate is precipitated. It reacts

    form

    (A) on warming gives aryl fluoride

    (B) with HBr gives aryl bromide

    (C) with 2NaNO , Cu poser followed by

    heating nitrobenzene

    (D) on warming with dil acid solution

    gives

    (1) A, B, C and D (2) A, B and C

    (3) C and D (4)A and C

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    1. The candidates should fill in the required particulars on the Test Booklet and Answer Sheet(Side-1)with Blue/Black Ball Point Pen.

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    4. Out of the four options given for each question only one option is the correct answer.

    5. For each incorrect response, one-fourth of the total marks allotted to the question would bededucted from the total score. No deduction from the total score, however, will be made if noresponse is indicated for an item in the Answer Sheet.

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    7. The candidates are not allowed to do any rough work or writing work on the Answer Sheet. Allcalculations/writing work are to be done in the space provided for this purpose in the TestBooklet itself, marked Space for Rough Work. This space is given at the bottom of each pageand in 3 pages at the end of the booklet.

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    10. No candidate, without special permission of the Superintendent or Invigilator, should leavehis/her seat.

    11. The candidates should not leave the Examination Hall without handing over their AnswerSheet to the Invigilator on duty and sign the Attendance Sheet again. Cases where acandidate has not signed the Attendance Sheet a second time will be deemed not to havehanded over the Answer Sheet and dealt with as an unfair means case. The candidates are

    also required to put their left hand THUMB impression in the space provided in theAttendance Sheet.

    12. Use of Electronic/Manual Calculator and any Electronic Item like mobile phone etc., isprohibited.

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    Candidates are not allowed to carry any textual material, printed or written, bits ofpapers, pager, mobile phone, electronic device or any other material except the AdmitCard inside the examination hall/room.