MHTCET B.TECH TYPE 2

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MHTCET B.TECH TYPE 2

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1 / 150

1. A lens of focal length 70 cm has power:

1) 0.71 D

2) 1.43 D

3) 1 D

4) 2.86 D

2 / 150

2. Maximum electrons in d-subshell is:

1) 10

2) 2

3) 6

4) 14

3 / 150

3. Simplify: (18^2 – 8^2)/(18-8) equals:

1) 28

2) 26

3) 10

4) 144

4 / 150

4. Volume 20 mL of 5 M HCl contains how many moles of HCl?

1) 1

2) 1/11

3) 1/10

4) 5

5 / 150

5. Simplify: (14^2 – 6^2)/(14-6) equals:

1) 84

2) 20

3) 8

4) 22

6 / 150

6. In an AP with first term 6 and common difference 6, the 11th term is:

1) 66

2) 66

3) 60

4) 72

7 / 150

7. Volume 16 mL of 1 M HCl contains how many moles of HCl?

1) 2/125

2) 1

3) 2/126

4) 2

8 / 150

8. Simplify: (15^2 – 7^2)/(15-7) equals:

1) 22

2) 105

3) 24

4) 8

9 / 150

9. Volume 34 mL of 1 M HCl contains how many moles of HCl?

1) 1

2) 17

3) 17/500

4) 17/501

10 / 150

10. Volume 26 mL of 5 M HCl contains how many moles of HCl?

1) 5

2) 13/100

3) 13

4) 13/101

11 / 150

11. For a cell with E° = 1.15 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.15 V

2) 1.09 V

3) 1.15 V

4) 1.12 V

12 / 150

12. How many moles of NaOH are present in 750 mL of 1 M NaOH solution?

1) 1

2) 3/5

3) 3/4

4) 3

13 / 150

13. A wave has frequency 40 Hz and wavelength 0.6 m. Speed is:

1) 66.7 m/s

2) 12.0 m/s

3) 24.0 m/s

4) 48.0 m/s

14 / 150

14. Unit of magnetic flux is:

1) Tesla

2) Weber

3) Coulomb

4) Henry

15 / 150

15. Distance of point (4,5,6) from origin is:

1) √78

2) 15

3) √76

4) √77

16 / 150

16. Volume 22 mL of 1 M HCl contains how many moles of HCl?

1) 11/500

2) 11

3) 1

4) 11/501

17 / 150

17. Equation y² = 8x represents a parabola with focal length:

1) 1

2) 4

3) 3

4) 2

18 / 150

18. If distance between two charges is doubled, force becomes:

1) double

2) half

3) four times

4) one-fourth

19 / 150

19. A p-n junction diode is used mainly as a:

1) oscillator

2) rectifier

3) transformer

4) amplifier

20 / 150

20. Volume 28 mL of 1 M HCl contains how many moles of HCl?

1) 7/250

2) 1

3) 7

4) 7/251

21 / 150

21. A 6 μF capacitor is charged to 10 V. Charge stored is:

1) 60 μC

2) 10 μC

3) 30.0 μC

4) 6 μC

22 / 150

22. For x² + y² – 4x + 6y + 4 = 0, the radius is:

1) 4

2) 1

3) 2

4) 3

23 / 150

23. Number of ways to choose 4 objects from 12 distinct objects is:

1) 48

2) 495

3) 500

4) 490

24 / 150

24. A body moves with constant speed 15 m/s for 4 s. Distance covered is:

1) 30.0 m

2) 60 m

3) 225 m

4) 19 m

25 / 150

25. For a cell with E° = 1.10 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.10 V

2) 1.07 V

3) 1.10 V

4) 1.04 V

26 / 150

26. Dot product of vectors (2,2) and (5,2) is:

1) 11

2) 11

3) 14

4) 16

27 / 150

27. Among Li, Na, K, Rb, atomic size is largest for:

1) K

2) Rb

3) Li

4) Na

28 / 150

28. A body moves with constant speed 20 m/s for 7 s. Distance covered is:

1) 70.0 m

2) 140 m

3) 400 m

4) 27 m

29 / 150

29. Resonance increases stability due to:

1) localization of electrons

2) decrease in charge

3) increase in mass

4) delocalization of electrons

30 / 150

30. Ethanoic acid reacts with ethanol to form the ester:

1) Methyl ethanoate

2) Ethyl ethanoate

3) Methyl methanoate

4) Ethyl methanoate

31 / 150

31. For A = [[5,2],[2,4]], det(A) equals:

1) 17

2) 15

3) 16

4) 24

32 / 150

32. Volume 27 mL of 6 M HCl contains how many moles of HCl?

1) 6

2) 81/500

3) 81/501

4) 81

33 / 150

33. A body moves with constant speed 12 m/s for 3 s. Distance covered is:

1) 18.0 m

2) 15 m

3) 36 m

4) 144 m

34 / 150

34. Simplify: (11^2 – 5^2)/(11-5) equals:

1) 55

2) 18

3) 6

4) 16

35 / 150

35. For A = [[5,2],[1,3]], det(A) equals:

1) 13

2) 14

3) 12

4) 17

36 / 150

36. Simplify: (22^2 – 10^2)/(22-10) equals:

1) 34

2) 220

3) 12

4) 32

37 / 150

37. Simplify: (19^2 – 9^2)/(19-9) equals:

1) 10

2) 28

3) 171

4) 30

38 / 150

38. Volume 19 mL of 4 M HCl contains how many moles of HCl?

1) 19

2) 4

3) 19/250

4) 19/251

39 / 150

39. Value of log₁₀(10^4) is:

1) 3

2) 0

3) 4

4) 5

40 / 150

40. Number of ways to choose 2 objects from 10 distinct objects is:

1) 20

2) 50

3) 45

4) 40

41 / 150

41. pH of a 10^-5 M HCl solution is approximately:

1) 7

2) 4

3) 5

4) 6

42 / 150

42. Two resistors 2 Ω and 8 Ω are in series. Equivalent resistance is:

1) 16 Ω

2) 10 Ω

3) 2 Ω

4) 8 Ω

43 / 150

43. Adsorption is a phenomenon of:

1) surface

2) nuclear

3) gravitational

4) bulk

44 / 150

44. A body moves with constant speed 21 m/s for 7 s. Distance covered is:

1) 73.5 m

2) 441 m

3) 28 m

4) 147 m

45 / 150

45. Time to fall freely from height 95 m (g=9.8) is approximately:

1) 8.81 s

2) 2.20 s

3) 9.69 s

4) 4.40 s

46 / 150

46. Value of log₁₀(10^6) is:

1) 7

2) 5

3) 6

4) 0

47 / 150

47. Volume 29 mL of 2 M HCl contains how many moles of HCl?

1) 29/500

2) 2

3) 29/501

4) 29

48 / 150

48. A wave has frequency 60 Hz and wavelength 0.6 m. Speed is:

1) 36.0 m/s

2) 100.0 m/s

3) 18.0 m/s

4) 72.0 m/s

49 / 150

49. Simplify: (17^2 – 8^2)/(17-8) equals:

1) 136

2) 27

3) 9

4) 25

50 / 150

50. Simplify: (20^2 – 9^2)/(20-9) equals:

1) 180

2) 11

3) 31

4) 29

51 / 150

51. Value of log₁₀(10^2) is:

1) 2

2) 0

3) 1

4) 3

52 / 150

52. In an AP with first term 4 and common difference 6, the 9th term is:

1) 36

2) 58

3) 46

4) 52

53 / 150

53. Time to fall freely from height 75 m (g=9.8) is approximately:

1) 1.96 s

2) 3.91 s

3) 7.65 s

4) 7.82 s

54 / 150

54. Volume 31 mL of 4 M HCl contains how many moles of HCl?

1) 4

2) 31/251

3) 31/250

4) 31

55 / 150

55. Discriminant of quadratic equation x² -5x +11 = 0 is:

1) 25

2) -23

3) -19

4) -15

56 / 150

56. Dot product of vectors (4,2) and (5,4) is:

1) 28

2) 15

3) 30

4) 25

57 / 150

57. A card is drawn from a standard deck. Probability that it is a spade is:

1) 1/4

2) 1/2

3) 1/13

4) 4/13

58 / 150

58. Coordination number of central metal in [Co(NH3)6]3+ is:

1) 2

2) 8

3) 6

4) 4

59 / 150

59. A 6 μF capacitor is charged to 20 V. Charge stored is:

1) 60.0 μC

2) 20 μC

3) 120 μC

4) 6 μC

60 / 150

60. If Earth’s radius becomes 2R (mass same), acceleration due to gravity becomes:

1) 2g

2) g/4

3) g

4) g/2

61 / 150

61. A lens of focal length 50 cm has power:

1) 1.00 D

2) 4.00 D

3) 2.00 D

4) 2 D

62 / 150

62. An appliance draws 3 A from 54 V. Power consumed is:

1) 3 W

2) 162 W

3) 54 W

4) 81.0 W

63 / 150

63. IUPAC name of CH3–CH2–OH is:

1) Ethanol

2) Methanol

3) Ethanal

4) Ethanoic acid

64 / 150

64. Number of permutations of letters in the word ‘BOOK’ is:

1) 24

2) 4

3) 6

4) 12

65 / 150

65. A 2 μF capacitor is charged to 30 V. Charge stored is:

1) 60 μC

2) 2 μC

3) 30.0 μC

4) 30 μC

66 / 150

66. Simplify: (16^2 – 7^2)/(16-7) equals:

1) 9

2) 23

3) 25

4) 112

67 / 150

67. A body moves with constant speed 14 m/s for 4 s. Distance covered is:

1) 28.0 m

2) 196 m

3) 18 m

4) 56 m

68 / 150

68. Volume 24 mL of 3 M HCl contains how many moles of HCl?

1) 9/125

2) 9/126

3) 3

4) 9

69 / 150

69. H2O molecule has bond angle approximately:

1) 104.5°

2) 90°

3) 180°

4) 120°

70 / 150

70. For A = [[5,0],[0,7]], det(A) equals:

1) 34

2) 35

3) 36

4) 35

71 / 150

71. Discriminant of quadratic equation x² -5x +7 = 0 is:

1) -3

2) 1

3) 25

4) -7

72 / 150

72. A body moves with constant speed 17 m/s for 5 s. Distance covered is:

1) 22 m

2) 85 m

3) 289 m

4) 42.5 m

73 / 150

73. Two resistors 3 Ω and 11 Ω are in series. Equivalent resistance is:

1) 14 Ω

2) 33 Ω

3) 11 Ω

4) 3 Ω

74 / 150

74. At highest point of projectile motion, acceleration is:

1) 0

2) g upward

3) depends on velocity

4) g downward

75 / 150

75. Distance of point (6,7,8) from origin is:

1) 21

2) √148

3) √149

4) √150

76 / 150

76. Volume 14 mL of 5 M HCl contains how many moles of HCl?

1) 7/100

2) 7

3) 5

4) 7/101

77 / 150

77. If measured value is 80 with absolute error ±2, percentage error is:

1) 4%

2) 2.5%

3) 5%

4) 1%

78 / 150

78. Simplify: (21^2 – 10^2)/(21-10) equals:

1) 33

2) 210

3) 11

4) 31

79 / 150

79. Volume 25 mL of 4 M HCl contains how many moles of HCl?

1) 1

2) 1/11

3) 1/10

4) 4

80 / 150

80. A body moves with constant speed 13 m/s for 3 s. Distance covered is:

1) 39 m

2) 169 m

3) 19.5 m

4) 16 m

81 / 150

81. A wave has frequency 35 Hz and wavelength 0.6 m. Speed is:

1) 42.0 m/s

2) 21.0 m/s

3) 58.3 m/s

4) 10.5 m/s

82 / 150

82. Discriminant of quadratic equation x² -5x +10 = 0 is:

1) -11

2) -19

3) -15

4) 25

83 / 150

83. A body moves with constant speed 23 m/s for 8 s. Distance covered is:

1) 184 m

2) 31 m

3) 529 m

4) 92.0 m

84 / 150

84. A body moves with constant speed 25 m/s for 9 s. Distance covered is:

1) 112.5 m

2) 34 m

3) 625 m

4) 225 m

85 / 150

85. If z = 4 – i, then the conjugate of z is:

1) 4-i

2) 4+i

3) -4+i

4) -4-i

86 / 150

86. A body moves with constant speed 24 m/s for 9 s. Distance covered is:

1) 108.0 m

2) 216 m

3) 576 m

4) 33 m

87 / 150

87. How many moles of NaOH are present in 250 mL of 1 M NaOH solution?

1) 1

2) 1

3) 1/5

4) 1/4

88 / 150

88. PV = nRT is known as:

1) Charles’ law

2) Boyle’s law

3) Ideal gas equation

4) Graham’s law

89 / 150

89. If f(x)=x-1 and g(x)=3x, then (f∘g)(2) equals:

1) 6

2) 7

3) 8

4) 5

90 / 150

90. Volume 12 mL of 3 M HCl contains how many moles of HCl?

1) 9

2) 9/250

3) 9/251

4) 3

91 / 150

91. An appliance draws 3 A from 30 V. Power consumed is:

1) 30 W

2) 45.0 W

3) 90 W

4) 3 W

92 / 150

92. Number of ways to choose 3 objects from 14 distinct objects is:

1) 369

2) 42

3) 359

4) 364

93 / 150

93. Volume 21 mL of 6 M HCl contains how many moles of HCl?

1) 63/500

2) 63/501

3) 6

4) 63

94 / 150

94. Photoelectric emission occurs only if frequency is:

1) Independent of frequency

2) Above threshold frequency

3) Below threshold

4) Zero

95 / 150

95. Two resistors 4 Ω and 14 Ω are in series. Equivalent resistance is:

1) 14 Ω

2) 4 Ω

3) 18 Ω

4) 56 Ω

96 / 150

96. Induced emf is produced when:

1) Resistance changes

2) Magnetic flux linked with circuit changes

3) Current is constant

4) Charge becomes zero

97 / 150

97. Volume 18 mL of 3 M HCl contains how many moles of HCl?

1) 27

2) 27/501

3) 27/500

4) 3

98 / 150

98. Antibiotics are used to:

1) reduce acidity

2) kill/inhibit bacteria

3) relieve pain

4) induce sleep

99 / 150

99. Oxidation number of Cr in K2Cr2O7 is:

1) +4

2) +7

3) +6

4) +3

100 / 150

100. Number of moles in 22 g of CO2 is:

1) 1

2) 0.25

3) 2

4) 0.5

101 / 150

101. If a function is differentiable at x=a, then it is continuous at x=a. This statement is:

1) False

2) True

3) Depends on function

4) Not defined

102 / 150

102. Evaluate: lim(x→3) (x²-9)/(x-3) equals:

1) 9

2) 3

3) 12

4) 6

103 / 150

103. Simplify: (24^2 – 11^2)/(24-11) equals:

1) 264

2) 13

3) 37

4) 35

104 / 150

104. Power of lens is measured in:

1) weber

2) dioptre

3) newton

4) tesla

105 / 150

105. A lens of focal length 30 cm has power:

1) 1.67 D

2) 3.33 D

3) 6.67 D

4) 3 D

106 / 150

106. Simplify: (12^2 – 5^2)/(12-5) equals:

1) 17

2) 7

3) 19

4) 60

107 / 150

107. If a vector has components (8,15), its magnitude is:

1) 15

2) 23

3) 7

4) 17

108 / 150

108. A body moves with constant speed 22 m/s for 8 s. Distance covered is:

1) 176 m

2) 88.0 m

3) 484 m

4) 30 m

109 / 150

109. Oxidation number of S in H2SO4 is:

1) +2

2) +6

3) 0

4) +4

110 / 150

110. A body moves with constant speed 19 m/s for 6 s. Distance covered is:

1) 25 m

2) 114 m

3) 57.0 m

4) 361 m

111 / 150

111. Distance of point (2,3,4) from origin is:

1) √29

2) √30

3) √28

4) 9

112 / 150

112. Time to fall freely from height 115 m (g=9.8) is approximately:

1) 2.42 s

2) 9.69 s

3) 11.73 s

4) 4.84 s

113 / 150

113. If cosθ = √3/2 and θ is acute, then sinθ equals:

1) 1/2

2) 2/√3

3) √3/2

4) √2/2

114 / 150

114. A wave has frequency 55 Hz and wavelength 0.6 m. Speed is:

1) 33.0 m/s

2) 91.7 m/s

3) 66.0 m/s

4) 16.5 m/s

115 / 150

115. Volume 23 mL of 2 M HCl contains how many moles of HCl?

1) 23

2) 2

3) 23/501

4) 23/500

116 / 150

116. Volume 11 mL of 2 M HCl contains how many moles of HCl?

1) 11

2) 11/501

3) 2

4) 11/500

117 / 150

117. Discriminant of quadratic equation x² -5x +6 = 0 is:

1) 5

2) 1

3) 25

4) -3

118 / 150

118. Volume 32 mL of 5 M HCl contains how many moles of HCl?

1) 4

2) 5

3) 4/25

4) 4/26

119 / 150

119. A body moves with constant speed 18 m/s for 6 s. Distance covered is:

1) 324 m

2) 54.0 m

3) 108 m

4) 24 m

120 / 150

120. Simplify: (23^2 – 11^2)/(23-11) equals:

1) 36

2) 12

3) 34

4) 253

121 / 150

121. Volume 17 mL of 2 M HCl contains how many moles of HCl?

1) 17/501

2) 17

3) 17/500

4) 2

122 / 150

122. A body moves with constant speed 16 m/s for 5 s. Distance covered is:

1) 256 m

2) 80 m

3) 40.0 m

4) 21 m

123 / 150

123. Impulse equals:

1) force only

2) change in momentum

3) change in KE

4) work only

124 / 150

124. pH of a 10^-3 M HCl solution is approximately:

1) 3

2) 4

3) 2

4) 7

125 / 150

125. Volume 30 mL of 3 M HCl contains how many moles of HCl?

1) 9

2) 3

3) 9/101

4) 9/100

126 / 150

126. For a first order reaction with k = 0.5 s^-1, half-life t1/2 is approximately:

1) 2.00 s

2) 2.77 s

3) 0.69 s

4) 1.39 s

127 / 150

127. Opposition offered by a capacitor in AC is called:

1) Resistance

2) Capacitive reactance

3) Conductance

4) Inductance

128 / 150

128. An appliance draws 3 A from 42 V. Power consumed is:

1) 126 W

2) 3 W

3) 42 W

4) 63.0 W

129 / 150

129. Volume 10 mL of 1 M HCl contains how many moles of HCl?

1) 1

2) 1/101

3) 1/100

4) 1

130 / 150

130. For a cell with E° = 1.20 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.20 V

2) 1.20 V

3) 1.14 V

4) 1.17 V

131 / 150

131. Two resistors 5 Ω and 10 Ω are in series. Equivalent resistance is:

1) 5 Ω

2) 50 Ω

3) 15 Ω

4) 10 Ω

132 / 150

132. If y = x^6, then dy/dx at x=3 is:

1) 1454

2) 2916

3) 1462

4) 1458

133 / 150

133. A 10 μF capacitor is charged to 40 V. Charge stored is:

1) 10 μC

2) 40 μC

3) 200.0 μC

4) 400 μC

134 / 150

134. IUPAC name of C2H2 is:

1) ethyne

2) ethene

3) benzene

4) ethane

135 / 150

135. Speed of a wave is given by:

1) v=f+λ

2) v=f/λ

3) v=λ/f

4) v=fλ

136 / 150

136. Simplify: (13^2 – 6^2)/(13-6) equals:

1) 78

2) 21

3) 7

4) 19

137 / 150

137. Boiling point elevation for an aqueous solution of molality 0.4 (Kb=0.52 K kg/mol) is:

1) 0.52 K

2) 0.42 K

3) 0.21 K

4) 0.10 K

138 / 150

138. Volume 33 mL of 6 M HCl contains how many moles of HCl?

1) 99/500

2) 99

3) 99/501

4) 6

139 / 150

139. Dot product of vectors (6,2) and (3,6) is:

1) 27

2) 32

3) 17

4) 30

140 / 150

140. Heat is measured in:

1) pascal

2) newton

3) watt

4) joule

141 / 150

141. A coin is tossed twice. Probability of exactly one head is:

1) 1

2) 3/4

3) 1/4

4) 1/2

142 / 150

142. Boiling point elevation for an aqueous solution of molality 0.2 (Kb=0.52 K kg/mol) is:

1) 0.21 K

2) 0.05 K

3) 0.52 K

4) 0.10 K

143 / 150

143. Evaluate: ∫₀^3 x dx equals:

1) 9/3

2) 9

3) 3

4) 9/2

144 / 150

144. Volume 13 mL of 4 M HCl contains how many moles of HCl?

1) 13/250

2) 4

3) 13/251

4) 13

145 / 150

145. Dot product of vectors (2,2) and (3,2) is:

1) 9

2) 12

3) 10

4) 7

146 / 150

146. The slope of the line through (2,5) and (6,13) is:

1) 1

2) 2

3) 3

4) 4

147 / 150

147. Volume 15 mL of 6 M HCl contains how many moles of HCl?

1) 6

2) 9

3) 9/100

4) 9/101

148 / 150

148. Time to fall freely from height 55 m (g=9.8) is approximately:

1) 5.61 s

2) 1.68 s

3) 6.70 s

4) 3.35 s

149 / 150

149. For A = [[5,0],[2,6]], det(A) equals:

1) 29

2) 30

3) 31

4) 30

150 / 150

150. Monomer used to prepare PVC is:

1) Styrene

2) Propene

3) Vinyl chloride

4) Ethene

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