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    Practice Paper 6

    Paper-I

    Part-1 (physics)

    Section-I

    Straight Objective Type

    Q1

    Two identical isosceles prisms of small prism angle A andrefractive index are placed with their bases touching each othe

    This system can act as a crude converging lens. Assuming a ray o

    li ht i i id t i t h i ht f it b th f l

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    Q3

    A thunder cloud and the earths surface may be regarded as apai

    of charged parallel plates separated by a distance

    as shown. Th

    capacitance of the system is C. When a lighting flash of mean

    current I and time duration t occurs the electric field strength

    between cloud and earth is reduced by

    a.

    b.

    c.

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    Q6

    Two particle 1 and 2 move with constant velocities V1and V2. A

    equal r1and r2. How must these four vectors be related for the pa

    a. | | | |

    b. | | | |

    c. | | | |

    d. | | | |

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    Q9

    A plate of mass M remains in equilibrium in air when n bullets ar

    each bullet is m and it strikes the plate with speed v. if the coeffic

    a. b. c. c.

    Section-II

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    Q11

    Statement-1:

    A uniform solid cylinder rolling with angular velocity along a p

    Angular velocity of cylinder when it begins to roll up a wall is le

    because

    Statement-2:

    After striking the vertical wall angular velocity increases.

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

    b. Statement-1 is True, Statement-2 is True; Statement-2 is not a

    c Statement 1 is True Statement 2 is False

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    Q13

    Statement-1:

    Ionization energy of atomic hydrogen is greater than atomic deut

    Statement-2:

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

    b. Statement-1 is True, Statement-2 is True; Statement-2 is not a

    c. Statement-1 is True, Statement-2 is False

    d. Statement-1 is True, Statement-2 is True

    Section-III

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    Q16

    The electric potential of the sphere:

    a. remains unchanged

    b. increases

    c. decreases

    d. cannot be found

    M17-19: Paragraph for Question Nos. 17 to 19

    Vectors are those which have both magnitude and direction and a

    Unit vectors , and point along x, y and z- directions. It is veryhil d li ith t titi Th lt t t b

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    Q19

    A stone to a string of length is whirled in vertical circle. If its magnitude of the change in velocity as it reaches the horizontal p

    a. b. c. d. Section-IV

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    Q21

    Circuit shown is a part of complicated circuit. The potential diffe

    Column I Column II

    a. Current in the circuit p. 4 Ab. Current through 1 resistor q. 3 A

    c. Potential difference betweenand r. 12 Vd. Potential difference between and s. 24 V

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    Q24

    The room where you live is spread with a radioactive element.

    Its half-life is 60 days. Its activity is 100 times the permissible va

    After how many days will it be advisable to enter the room?

    a. 10 days

    b. 398 days

    c. 600 days d. 39.8 days

    Q25

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    Q28

    The time required for 99% of Ist order reaction to complete is 10

    99% completion?

    a. 100 min

    b. 200 min

    c. 300 min

    d. 400 min

    Q29

    Which of the following will produce H2?

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    Q31

    The product of IwithO4- in alkaline medium is

    a. I2

    b. IO3

    c. IO

    d. IO4

    Section-II

    Assertion-Reason Type

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    Q34

    Statement-1:

    Phenoxide ion is stronger base as compared to ethoxide ion.

    because

    Statement-2:

    Phenol is stronger acid in comparison to ethanol.

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

    b. Statement-1 is True, Statement-2 is True; Statement-2 is not a

    c. Statement-1 is True, Statement-2 is False

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    Q36

    The structure `A in keto form is

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    Section-IV

    Matrix-Match Type

    If the correct matches are

    bubbled matrix should be as follows:

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    Part-III (Mathematic

    Section-I

    Straight Objective Type

    Q45

    If then isa. b. c.

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    Q48

    Let be the fixed point (0, 4). And be a moving point Lperpendicular bisector of meet the y-axis at . The locus of tha. b. c. d. None of these

    Q49

    The number of tangents that can be drawn from the point (2, 3) to

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    Q52

    A variable plane passes through a fixed point and cuts thco-ordinates or the centre of the sphere passing through a. b.

    c. d.

    Q53

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    Q55

    Statement-1:

    If

    because

    Statement-2

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

    b. Statement-1 is True, Statement-2 is True; Statement-2 is not a

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    Section-III

    Linked Comprehension Type

    M58-60 : Paragraph for Question Nos. 58 to 60

    The graph of a function f(x) in the first quadrant is said to be con

    such a graph chord is above the curve. A graph which is not conv

    following questions:

    Q 58.

    Let be the abscissae of two points in the first quadrant whicthena.

    b. c for all

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    Q 61.

    For

    Thus Which if the following is a superior inequality than

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    Section-IV

    Matrix-Match Type

    If the correct matches are AP, AS, BQ, BR, CP, C

    bubbled 5 x 5 matrix should be as follow

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    Q 66.

    Match the following :

    a. The distance between circumcentre and Incentre

    of triangle, the affixes of whose vertices areisp. 6

    b. If 2nC4,2nC5,

    2nC6 are in A.P then is q. 3c. On the maximum value of max{ }is r. 0d. If

    then s. 7

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    PaperII

    Part-I (physics)

    Section-I

    Straight Objective Type

    Q1

    The ratio of de-Broglie wavelength of molecules of Hydrogen an

    respectively is

    a.

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    Q3

    Two wires and of same material but radii r1 and r2support a applied at the free end, then :

    a. for string breaks before b. for string breaks before c. string breaks always firstd. for any of them may breakQ4

    A plane mirror is made of glass slab of refractive index = 1.5, th

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    Q6

    Sliding contact in circuit shown, moves with uniform velocity

    towards right. Value of resistance at an instant is 4 . Then at tha

    instant

    a. Current in the circuit 0.5A

    b. Current in the circuit is greater than 0.5A

    c. Current in the circuit is less than 0.5 A

    d. There is a small current of 6mA in the circuit

    Q7

    A conducting ring of mass 2 kg and radius 0 5 m is placed on a s

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    Q9

    In as Isothermal expansion of ideal gas

    a. b. c. the work done by gas is equal to heat supplied to the gas.

    d. Section-II

    Assertion-Reason Type

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    Q12

    Statement-1:

    Rise of water level in capillary tube should be accounted vertical

    which it has raised.

    because

    Statement-2:

    More the radius, the rise will decrease for different liquids tested

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

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    Section-III

    Linked Comprehension Type

    M14-16: Paragraph for Question Nos. 14 to 16

    A potentiometer wire of length 10 m shows null points shifted by

    difference of 0.4 volt.

    Q14

    Potential gradient along the potentiometer wire is, (in V/m)

    a.

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    M17-19: Paragraph for Question Nos. 17 to 19

    A particle of mass 3 kg is moving under the action of central forc

    U(r) = 10 r3Joule.

    Q17

    For the particle to move in a circle of radius 10 m, the velocity is

    a. 10 m/s

    b. 1 m/s

    c. 100 m/s

    d 1000 /

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    Section-IV

    Matrix-Match Type

    Q20

    Column I Column II

    a. Area between and a constant p. Uniform

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    Part-II (Chemistry)

    Section-I

    Straight Objective Type

    Q23

    On heating one mole KCIO3, one mole of O2is formed. Calculate

    mixture containing only KCI and KCIO4, KCIO4is obtained by p

    a. 0.50

    b. 0.25

    c. 0.33

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    Q26

    KO2(Potassium superoxide) is used in oxygen cylinders in space

    a. Absorbs CO2and increase O2content

    b. Eliminates moisture

    c. Absorbs CO2

    d. Produces ozone

    Q27

    The Fischer projection formula of (+)-lactic acid is as

    Which of the following is correct ?

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    Q30

    Which of the following are isotonic with one another ?

    1. 0.15 M urea

    2. 0.15 MCaCl2

    3. 0.15 M MgSO4

    4. 0.15 M glucose

    a. (i) and (ii)

    b. (i), (ii), (iii), (iv)

    c. (i) and (iv)

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    Q33

    Statement-1:

    The vapour pressure of water at 27 27C in a one litre closed flas

    same amount of water in 3 L flask at 27C. because

    Statement-2:

    The pressure of gas at a particular temperature is inversely propo

    a. Statement-1 is True, Statement-2 is True; Statement-2 is a corr

    b. Statement-1 is True, Statement-2 is True; Statement-2 is not a

    c. Statement-1 is True, Statement-2 is Falsed. Statement-1 is False, Statement-2 is True

    Q34

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    Section III

    Linked Comprehension Type

    For a particular ion to be deposited at cathode, it requires minimu

    the electrodes. The minimum voltage required is called discharge

    Increasing order of deposition of some metals:

    Li+< K+< Ca2+< Na+< Mg2+< Al3+< Zn2+< Fe2+< Ni2+< H+