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ATOMIC ENERGY CENTRAL SCHOOL NO.4 RAWATBHATA

MCQ Test (July 2018-19)

CLASS XI (Physics, Chemistry,Mathematics)

Time 2 hours 30 min MM:100

Note: Slecet the most appropriate option.

Q.1)Which of the following is the dimensionless quantity?

(a) force of surface tension (b) strain (c) stress (d) co-efficient of viscosity

Q.2)Dimensions of velocity gradient are same as that of

(a) time period (b) frequency (c) angular acceleration (d) acceleration

Q.3)Out of the following pairs, which pair does not have identical dimensions.

(a) angular momentum and Planck’s Constant (b) moment of Inertia and

moment of force (c) work and torque (d) impulse and momentum

Q.4)The dimension of Planck’s constant is same as that of:

(a) angular momentum (b) linear momentum

(c) work (d) coefficient of viscosity

Q.5)If K represents kinetic energy, V velocity and T time, and these are chosen

as the fundamental units then, the units of surface tension will be:

(a) KV-2

T-2

(b) K-1

V-2

T-1

(c) KV-1

T-1

(d) KV-2

T2

Q.6)Dimension of torque are

a) [ M2 L

2 T

2 ] b) [ M L

2 T

-2 ] c) [ M L

2 T

-1 ] d) [ M L

2 T

-1 ]

Q.7)If the error in the measurement of the momentum of a particle is (+100%).

Then the error in the measurement of kinetic energy is

a) 400% b) 300% c) 100% d) 200%

Q.8) Dimensions of impulse are

a) [M L-2

T-3

] b) [ML-2

] c) [M L T-1

] d) [MLT-2

]

Q.9)Weber/m2 is equal to

a) dyne b) tesla c) watt d) henry

2

Q.10) Which is not a unit of time?

a) leap year b) year c) second d) light year

Q.11)The magnetic moment has dimensions of [AFMC 2006]

a) [LA] b) [L2A] c) [LT-1A] d) [L2TL-1A]

Q.12)What are the dimensions of permeability

a) [M1 L

1 T

1 A

-2 ] b) [M

1 L

1 T

-2 A

-2 ] c) [M

2 L

2 T

1 A

0 ] d) [M

1 L

2 T

2 A

-2 ]

Q.13) Which of the following are not the units of self inductance?

a) Weber/Ampere b) Ohm-Second c) Joule-Ampere d) Joule-Ampere2

Q.14)The resistance R of a wire is given by the relation Percentage

error in the measurement of ρ, l and r is 1%, 2% and 3% respectively. Then

the percentage error in the measurement of R is

a) 6 b) 9 c) 8 d) 10

Q.15)The displacement of particle moving along x-axis with respect to time is x

= at +bt2 - ct3. The dimensions of c are----

a) T-3

b) LT-1

c) LT-3

d) LT-2

Q.16) The length and breadth of a metal sheet are 3.124m and 3.002m

respectively. The area of this sheet up to four correct significant figure is ...

a) 9.378 m2 b) 9.37 m2 c) 9.378248 m2 d) 9.3782 m2

Q.17) Using mass (M), length (L) and time (T) and current (A) as fundamental

quantities, the dimensions of permeability are..

a) [M-1

LT-2

A] b) [ML-2

T-2

A-1

] c) [MLT-2

A-2

] d) [MLT-1

A-1

]

Q.18) Chronometer measures

a) area b) time c) length d) temperature

Q.19)"Pascal second" has the dimensions of

a) force b) energy c) pressure d) coefficient of viscosity

Q.20) If time period of oscillation of a pendulum is measured as 2.5 second using

a stop watch with least count 0.5 sec, then the permissible error in the

measurement is..

a) 10% b) 30% c) 20% d) 25%

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Q.21) The speed of light (c), gravitational constant (G) and Plank's constant (h)

are taken as fundamental units in a system. The dimensions of time in this

new system should be...

a)G1/2h1/2c-5/2 b) G-1/2h1/2c1/2 c) G1/2h1/2c-3/2 d)G1/2h1/2c1/2

Q.22) Which of the following pair of quantities do not have the same dimensions...

a) potential gradient, electric field b) Torque, kinetic energy

c) light year, time period d) Impedance, resistance

Q.23) In a slide calliper, (m+1) number of vernier divisions is equal to m number

of smallest main scale division s. If d is the magnitude of the smallest main

scale division, then the magnitude of the vernier constant is..... unit

a) b) c) d)

Q.24) A quantity x is given by

where ε0 is the permittivity of free space, L is the length, ΔV is a potential

difference and Δt is a time interval. The dimensional formula for x is the

same as that of..

a) resistance b) charge c) voltage d) current

Q.25) The density of material in CGS system of unit is 4g/cm3. In a system of

units in which unit of length is 10cm and unit of mass is 100g, the value of

density of material will be...

a) 0.4 b) 40 c) 400 d) 0.04

Q.26) Q38) Which two of the following five physical parameters have the same

dimensions?

A) Energy Density B) Refractive Index C) Dielectric Constant

D) Young's Modulus E)Magnetic Field

a) (B) and (D) b) (C) and (E) c) (A) and (D) d) (A) and (E)

Q.27) The velocity 'v' of a particle at time t is given by

where a, b, c are constant then dimensions of a,b, c are respectively

a) L2, T and LT

2 b) LT

2, LT and L c) L, LT and T

2 d) LT

-2, L and T

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Q.28) In a vernier calliper N divisions of vernier scale coincides with (N-1)

division of main scale (in which length of one division is 1mm). The least

count of the instrument should be

a) N b) N-1 c) 1/10N d) 1/ (N-1)

Q.29) The time dependence of physical quantity 'p' is given by

p = poexp(-αt2), where α is a constant and t is the time. The constant α....

a) is dimensionless b) has dimensions T-2

c) has dimensions T2 d) has dimensions of p

Q.30)A body of mass m=3.513 kg is moving along the x-axis with speed of 5.00

m/s. The magnitude of its momentum is recorded as...

a) 17.6 kgms-1 b) 17.565 kgms-1 c) 17.56 kgms-1 d) 17.57 kg ms-1

Q.31) In an experiment the angle are required to be measured using an

instrument, 29 divisions of the main scale exactly coincide with the 30

divisions of the vernier scale. If the smallest division of the main scale is

half a a degree (0.5°), then the least count of the instrument is

a) half minute b) one degree c) half degree d) one minute

Q.32) Two full turns of the circular scale of a screw gauge covers a distance of

1mm on its main scale. the total number of divisions on the circular scale is

50. Further, it is found that the screw gauge has a zero error of -0.03mm.

While measuring the diameter of a thin wire, a student notes the main scale

reading of 3mm and the number of circular scale division in line with the

main scale as 35. The diameter of the wire is

a) 3.32 mm b) 3.73mm c) 3.67mm d) 3.38mm

Q.33) The time period of a soap bubble is T ∝ Pa d

bS

c, where P is pressure, d is

density and S is surface tension, then the values of a,b,c are respectively:

a) -1,-2,3 b) -3/2, 1/2, 1 c) 1, -2, -3/2 d) 1, 2, 1/3

34. If 500 mL of a 5M solution is diluted to 1500 mL, what will be the molarity

of the solution obtained?

(a) 1.5 M (b) 1.66 M (c) 0.017 M (d) 1.59 M

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35. The number of atoms present in one mole of an element is equal to Avogadro

number. Which of the following element contains the greatest number of atoms?

(a) 4g He (b) 46g Na (c) 0.40g Ca (d) 12g He

36. If the concentration of glucose (C6H12O6) in blood is 0.9 g L–1, what will be

themolarity of glucose in blood?

(a) 5 M (b) 50 M (c) 0.005 M (d) 0.5 M

37. What will be the molality of the solution containing 18.25 g of HCl gas in

500 g of water?

(a) 0.1 m (b) 1 M (c) 0.5 m (d) 1 m

38. One mole of any substance contains 6.022 × 1023

atoms/molecules. Number

of molecules of H2SO4 present in 100 mL of 0.02M H2SO4 solution is ______.

(a) 12.044 × 1020

molecules (b) 6.022 × 1023

molecules

(c) 1 × 1023

molecules (d) 12.044 × 1023

molecules

39. What is the mass percent of carbon in carbon dioxide?

(a) 0.034% (b) 27.27% (c) 3.4% (d) 28.7%.

40.The empirical formula and molecular mass of a compound are CH2O and180

g respectively. What will be the molecular formula of the compound?

(a) C9H18O9(b) CH2O(c) C6H12O6(d) C2H4O2

41. For hydrogen atom ratio of first & third Bohr’s orbit is –

(a) 1 : 3 (b) 1 : 9 (c) 3 : 1 (d) 9 : 1

42. Two molecular orbital are of same energy then –

(a) Electron will go to same orbital (b) Electron will go to

different orbitals

(c) Electron will be paired (d) Nothing would be

43. Sulphuric acid reacts with sodium hydroxide as follows:

H2SO4 + 2NaOH ⎯→ Na2SO4 + 2H2O

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When 1L of 0.1M sulphuric acid solution is allowed to react with 1L of

0.1Msodium hydroxide solution, the amount of sodium sulphate formed and

itsmolarity in the solution obtained is

(a) 0.1 mol L–1(b) 7.10 g(c) 0.025 mol L–1(d) 3.55 g

44. Which of the following pair have the same number of atoms?

(a) 16 g of O2(g) and 4 g of H2(g)

(b) 16 g of O2 and 44 g of CO2

(c) 28 g of N2and 32 g of O2

(d) 12 g of C(s) and 46 g of Na(s)

45. 16 g of oxygen has same number of molecules as in

(a) 16 g of CO(b) 28 g of N2(c) 14 g of N2(d) 2.0 g of H2

46. Which of the following terms are unitless?

(a) Molality(b) Molarity(c) Mole fraction(d) Mass percent

47. Which of the following options does not represent ground state electronic

configuration of an atom?

(a) 1s2 2s2 2p6 3s2 3p6 3d8 4s2 (b) 1s2 2s2 2p6 3s2 3p6 3d9 4s2

(c) 1s2 2s2 2p6 3s2 3p6 3d10 4s1 (d) 1s2 2s2 2p6 3s2 3p6 3d5 4s1

48. According to four quantum number, which orbital is not possible-?

(a) 3d (b) 3s (c) 3f (d) 4d

49. The number of radial nodes for 3p orbital is __________.

(a) 3 (b) 4 (c) 2 (d) 1

50. Number of angular nodes for 4d orbital is __________.

(a) 4 (b) 3 (c) 2 (d) 1

51. Total number of orbitals associated with third shell will be __________.

(a) 2 (b) 4 (c) 9 (d) 3

52. Orbital angular momentum depends on __________.

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(a)l(b) n and l (c) n and m (d) m and s

53. For the electrons of oxygen atom, which of the following statements is

correct?

(a)Zeff for an electron in a 2s orbital is the same as Zeff for an electron in a

2p orbital.

(b) An electron in the 2s orbital has the same energy as an electron in the 2p

orbital.

(c)Zeff for an electron in 1s orbital is the same as Zeff for an electron in a

2s orbital.

(d) The two electrons present in the 2s orbital have spin quantum numbers

ms but of opposite sign.

54. If travelling at same speeds, which of the following matter waves have the

shortest wavelength?

(a) Electron (b) Alpha particle (He2+

) (c) Neutron (d) Proton

55. The symbol ⇌ in a chemical equation shows that the reaction

(a) does not occur (b) occurs very rapidly (c)is reversible (d)goes to completion

56. The ionization energy of H atom is 13.6 eV. The ionization energy of Li+2

ion will be –

(a) 13.6 eV (b) 27.2 eV (c) 54.4 eV

(d) 122.4 eV

57. If an electron is present in n = 6 level. How many spectral lines would be

observed in case of H atom?

(a) 10 (b) 15 (c) 20 (d) 25

58. The longest wavelength in the H spectra of Lyman series (RH = 109678 cm-

1) will be –

(a) 1115.67 Ao (b) 1215.67 A

o (c) 1315.67 A

o (d) 1415.67 A

o

59. Calculate the number of photons emitted in 10 hrs by a 60 W sodium lamp

( photon = 5893 Ao)

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(a) 3.40 x 1024

(b) 5.40 x 1024

(c) 4.40 x 1024

(d) 6.40 x 1024

60. In any atom all the four quantum Nos. cannot equal for two electrons this is

(a) Hund’s rule (b) Pauli’s exclusion principle

(c) Aufbau principle (d) Uncertainty principle

61. Expression for energy are right except one – _

(a) E = h (b) E = mc2 (c) E = hc (d) E = hc

62. The quantum Nos. 4,1,0,-½ are of outermost electron of an atom of any

element. This is the member of-

(a) s-block (b) p-block (c) d-block (d) f-block

63. Shortest Bohr radius is-

(a) He+ (b) Li

++ (c) H

+ (dBe

+++

64. When the value of n is increased from 1 to 4, energy of electron in

hydrogen atom is-

(a) increased 16 items (b) decreased 16times (c) increased 4

times (d) decreased 4 times.

65. The possibility is not zero finding of electron in s-orbital-

(1)In XY plane (2) In YZ plane (3) In X-axis (4) In Y-axis

The right answer is –

(a) 1 (b) 2 (c) 1 & 2 (d) 1, 2, 3 & 4

66. The electronic configuration is not right of S16 (1s2, 2s

2 p

6, 3s

2 3px

2 3py

2

3pz0) because –

(a) Against to Paulis principle (b) Against to Hund’s rule

(c) Against to both of above (d) Against to Aufbau principle

67. Which of the following is not correct?

(A) A B C A B A C (B) cA A if and only if ,A X where X is a

universal set

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(C) If A B A C then B C (D) A B is equivalent to A C B C & A C B C

68. Suppose 1 2 30, ,........A A A are thirty sets each having 5 elements and 1 2, ,..... nB B B are

n sets each with 3 elements, let 30

1 1

n

i j

i j

A B S

U U and each element of S belongs to

exactly 10 of the 'iA s and exactly 9 of the ' .jB s Then n is equal to

(A) 15 (B) 3 (C) 45 (D) 90

69. A group of 123 workers went to a canteen for cool drinks ice cream and

tea; 42 workers took ice – cream 36 tea and 30 cool drinks ; 15 workers

purchased ice cream and tea; 10 ice cream and cool drinks; 4 cool drinks and

tea but not ice cream; 11 took ice cream and tea but not cool drinks. Number

of workers that did not purchase anything is

(A) 54 (B) 64 (C) 56 (D) 44

70. If sets A and B are defined as 1

, / ,0 ,A x y y x Rx

, / , ,B x y y x x R then

(A) A B A (B) A B B (C) A B (D) A B A B

71. If a set A has n elements then number of subsets of AxA has

(A) 2

2n

(B) 2

2 1n (C) 2n (D)

22 n

72. If 2 2, / , , 4R x y x y Z x y is a relation in Z, then domain of R is (

Z is set of integers)

(A) 0,1,2 (B) 0, 1, 2 (C) 2, 1,0,1,2 (D) 0,1,2,3

73. An investigator interviewed 100 students to determine their preferences for

the three drinks ; milk (M), coffee (C) and tea (T). He reported the following

: 10 students had all the three drinks M, C, T ; 20 had M and C ; 30 had C

and T; 25 had M and T; 12 had M only; 5 had C only; 8 had T only. The

number of students that did not take any of the three drinks.

(A) 20 (B) 30 (C) 36 (D) 42

74. 1,2,3,4,5 ,A Relation R on A is defined by 2 2, / 9R x y x y and x y then

R =

(A) 1,1 , 2,2 , 3,3 , 4,4 , 5,5 (B) 2,1 , 3,2 , 3,2 , 4,3 , 5,4

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(C) 1,2 , 1,3 , 2,3 , 3,4 , 4,5 (D) 1,2 , 1,3 , 2,3 , 3,4

75. If 2 2, / 4; ,A x y x y x y R and 2 2, / 9; , ,B x y x y x y R then

(A) A B (B) B A (C) A B (D) A B

76. What is the domain of the function f(x) = -|x|

A) [0, ) B) (- C) D) None of these

77. The number of subsets of a set containing n elements is_

a) n b) 2n-1 c) n

2 d) 2

n

78. which of the following is false_

a) A-B= A ’ b) A-B= A-(A c) A-B= A-B’ d)

A-B= (A -B

79. What is the domain of

a) [-4,4] b) [0,4] c) (0,4) d) none of these

80. Range of sine function is

a) R b) [-1,1] c) (-1,1) d) none of these

81. If X and Y are subsets of the universal set U, then show that

(A) Y ⊂ X Y (B) X ∩ Y ⊂X (C) X ⊂ Y ⇒ X ∩ Y = X (D) None

82. Two finite sets have m and n elements respectively. The total number of

subsets of first set is 56 more than the total number of subsets of the second

set. The values of m and n respectively are.

(A) 7, 6 (B) 5, 1 (C) 6, 3 (D) 8, 7

83. The set (A B C) ∩ (A ∩ B′ ∩ C′)′ ∩ C′ is equal to

(A) B ∩ C′ (B) A ∩ C (C) B C′ (D) A ∩ C′

84. Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of

rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane.

Then F1 may beequal to

(A) F2 ∩ F3 (B) F3 ∩ F4 (C) F2 F5 (D) F2 F3 F4 F1

85. Let S = set of points inside the square, T = the set of points inside the

triangle, C = the set of points inside the circle. If the triangle and circle

intersect eachother and are contained in a square. Then

(A) S ∩ T ∩ C = φ (B) S T C = C(C) S T C = S (D) S T = S ∩ C

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86. In a class of 60 students, 25 students play cricket and 20 students play

tennis,and 10 students play both the games. Then, the number of students

who playneither is

(A) 0 (B) 25 (C) 35 (D) 45

87. In a town of 840 persons, 450 persons read Hindi, 300 read English and 200

readboth. Then the number of persons who read neither is

(A) 210 (B) 290 (C) 180 (D) 260

88. If X = {8n – 7n – 1 | n ∈N} and Y = {49n – 49 | n ∈N}. Then

(A) X ⊂ Y (B) Y ⊂ X (C) X = Y (D) X ∩ Y = φ

89. A survey shows that 63% of the people watch a News Channel whereas

76%watch another channel. If x% of the people watch both channel, then

(A) x= 35 (B) x = 63 (C) 39 ≤ x ≤ 63 (D) x = 39

90. If sets A and B are defined as

A = {(x, y) | y =1/x,, 0 ≠ x ∈R} B = {(x, y) | y = – x, x ∈R}, then

(A) A ∩ B = A (B) A ∩ B = B (C) A ∩ B = φ (D) A B = A

91. If A and B are two sets, then A ∩ (A B) equals

(A) A (B) B (C) φ (D) A ∩ B

92. IfA = {1, 3, 5, 7, 9, 11, 13, 15, 17} B = {2, 4, ... , 18} and N the set of

naturalnumbers is the universal set, then A′ (A B) ∩ B′) is

(A) φ (B) N (C) A (D) B

93. Let S = {x | x is a positive multiple of 3 less than 100}

P = {x | x is a prime number less than 20}. Then n(S) + n(P) is

(A) 34 (B) 31 (C) 33 (D) 30

94. If X and Y are two sets then X ∩ (X Y)′is equal to

(A) X (B) Y (C) φ (D) X ∩ Y

95. Domain of (a > 0) is

(A) (– a, a) (B) [– a, a] (C) [0, a] (D) (– a, 0]

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96. If f (x) = ax + b, where a and b are integers, f (–1) = – 5 and f (3) = 3, then a

and bare equal to

(A) a= – 3, b = –1 (B) a = 2, b = – 3 (C) a = 0, b = 2 (D) a = 2, b = 3

97. The domain of the function fdefined by f (x) = +

is equal to

(A) (– ∞, – 1) (1, 4] (B) (– ∞, – 1] (1, 4]

(C) (– ∞, – 1) [1, 4] (D) (– ∞, – 1) [1, 4)

98. The domain & range of the real function f defined by f (x) =

is given by

(A) Domain = R, Range = {–1, 1} (B) Domain = R – {1}, Range = R

(C) Domain = R – {4}, Range={– 1} (D) Domain = R–{– 4},Range = {–1, 1}

99. The domain and range of real function f defined by f (x) = is :

(A) Domain = (1, ∞), Range = (0, ∞) (B) Domain = [1, ∞), Range = (0, ∞)

(C) Domain = [1, ∞), Range = [0, ∞) (D) Domain = [1, ∞), Range = [0, ∞)

100. The domain and range of the function f given by f (x) = 2 – x

(A) Domain = R+, Range = ( – ∞, 1] (B) Domain = R, Range = ( – ∞, 2]

(C) Domain = R, Range = (– ∞, 2) (D) Domain = R+, Range = (– ∞, 2]

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