MHTCET B.TECH TYPE 4

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MHTCET B.TECH TYPE 4

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1 / 150

1. Rate of an SN1 reaction depends on concentration of:

1) Substrate and nucleophile

2) Solvent only

3) Nucleophile only

4) Substrate only

2 / 150

2. Light enters glass (n=1.5) from air at i=30°. Refracted angle r is approximately:

1) 24.5°

2) 20.0°

3) 14.5°

4) 19.5°

3 / 150

3. Value of 17C0 is:

1) 16

2) 1

3) 0

4) 17

4 / 150

4. Weight of a body of mass m is:

1) g/m

2) m/g

3) m+g

4) mg

5 / 150

5. Current 3 A flows through 10 Ω resistor. Power dissipated is:

1) 45 W

2) 180 W

3) 90 W

4) 30 W

6 / 150

6. A body changes speed uniformly from 14 to 18 m/s in 8 s. Distance covered is:

1) 144.0 m

2) 112.0 m

3) 128.0 m

4) 64.0 m

7 / 150

7. Unit of work is same as unit of:

1) power

2) force

3) energy

4) pressure

8 / 150

8. A buffer solution resists change in pH because it contains:

1) A strong base only

2) A strong acid only

3) Only neutral salt

4) A weak acid and its conjugate base

9 / 150

9. In expansion of (1+x)^13, coefficient of x^2 is:

1) 70

2) 78

3) 26

4) 86

10 / 150

10. Unit of radioactivity is:

1) weber

2) henry

3) becquerel

4) tesla

11 / 150

11. Work done against gravity to raise 6 kg mass by 9 m is:

1) 264.6 J

2) 1058.4 J

3) 529.2 J

4) 54.0 J

12 / 150

12. For quadratic y = 3x^2 -9x + 1, x-coordinate of vertex is:

1) 3

2) 3

3) -3

4) 3/2

13 / 150

13. Number of circular permutations of 5 distinct objects is:

1) 4!

2) 6!

3) 5!

4) 3!

14 / 150

14. Sum of first 5 natural numbers is:

1) 20

2) 15

3) 12

4) 10

15 / 150

15. For a particle of mass m moving with speed v (non-relativistic), de Broglie wavelength is proportional to:

1) v

2) v^2

3) 1/v

4) constant

16 / 150

16. In disproportionation reaction, an element is:

1) both oxidized and reduced

2) only reduced

3) only oxidized

4) neither

17 / 150

17. A body changes speed uniformly from 8 to 24 m/s in 6 s. Distance covered is:

1) 48.0 m

2) 144.0 m

3) 96.0 m

4) 48.0 m

18 / 150

18. In expansion of (1+x)^9, coefficient of x^5 is:

1) 118

2) 45

3) 134

4) 126

19 / 150

19. For a convex lens with f=20 cm and object distance u=-60 cm, image distance v (cm) is:

1) 20

2) 30

3) 30

4) 60

20 / 150

20. A 4 M solution, 20 mL is diluted to 100 mL. Final molarity is:

1) 20

2) 100

3) 4

4) 4/5

21 / 150

21. A 2 M solution, 10 mL is diluted to 100 mL. Final molarity is:

1) 100

2) 1/5

3) 2

4) 10

22 / 150

22. During melting of ice at 0°C, temperature:

1) remains constant

2) decreases

3) increases

4) becomes negative

23 / 150

23. For x²+7x+12=0, product of roots equals:

1) -7

2) -12

3) 12

4) 7

24 / 150

24. Unit of electric current is:

1) volt

2) ampere

3) coulomb

4) ohm

25 / 150

25. A 4 M solution, 10 mL is diluted to 200 mL. Final molarity is:

1) 200

2) 1/5

3) 4

4) 10

26 / 150

26. Addition reactions are characteristic of:

1) alkanes

2) amines

3) alkyl halides

4) alkenes

27 / 150

27. A transformer has Np=400, Ns=800. If primary current Ip=4 A, secondary current Is is:

1) 2.00 A

2) 4.00 A

3) 1.00 A

4) 4.00 A

28 / 150

28. Work done against gravity to raise 6 kg mass by 7 m is:

1) 205.8 J

2) 823.2 J

3) 411.6 J

4) 42.0 J

29 / 150

29. Point dividing (0,0) and (6,0) internally in ratio 1:2 is:

1) (2,0)

2) (4,0)

3) (3,0)

4) (1,0)

30 / 150

30. Monomer of DNA is:

1) Sucrose

2) Amino acid

3) Nucleotide

4) Fatty acid

31 / 150

31. A 2 M solution, 50 mL is diluted to 200 mL. Final molarity is:

1) 2

2) 50

3) 200

4) 1/2

32 / 150

32. For a spontaneous process at constant T,P, ΔG is:

1) infinite

2) positive

3) zero

4) negative

33 / 150

33. +I effect is shown by:

1) -COOH

2) -CH3

3) -NO2

4) -F

34 / 150

34. If cathode potential is 0.90 V and anode potential is 0.40 V, then Ecell is:

1) 0.90 V

2) 0.50 V

3) 0.40 V

4) 0.60 V

35 / 150

35. Sum of first 5 terms of GP with first term 4 and ratio 2 is:

1) 124

2) 126

3) 20

4) 122

36 / 150

36. If det(A)=9 for a 2×2 matrix A, then det(2A) equals:

1) 18

2) 72

3) 9

4) 36

37 / 150

37. For a convex lens with f=10 cm and object distance u=-30 cm, image distance v (cm) is:

1) 10

2) 15

3) 30

4) 15

38 / 150

38. Echo is due to:

1) diffraction

2) refraction

3) interference only

4) reflection of sound

39 / 150

39. Distance between lines 3x + 4y + 4 = 0 and 3x + 4y + 12 = 0 is approximately:

1) 1.600

2) 1.300

3) 8.000

4) 1.900

40 / 150

40. Osmotic pressure of 0.20 M solution at 300 K (R=0.082) is:

1) 0.20 atm

2) 2.46 atm

3) 9.84 atm

4) 4.92 atm

41 / 150

41. Two capacitors 2 μF and 3 μF in series have equivalent capacitance (μF):

1) 5

2) 6

3) 6/5

4) 2

42 / 150

42. Oxidation number of Mn in KMnO4 is:

1) +7

2) +4

3) +6

4) +2

43 / 150

43. For gaseous equilibrium with Δn = −1 at 400 K, if Kc=1.50, then Kp≈Kc/(RT). Find Kp (R=0.082):

1) 0.091

2) 0.023

3) 0.046

4) 1.500

44 / 150

44. A 4 M solution, 50 mL is diluted to 300 mL. Final molarity is:

1) 2/3

2) 300

3) 4

4) 50

45 / 150

45. If det(A)=10 for a 2×2 matrix A, then det(4A) equals:

1) 40

2) 10

3) 160

4) 640

46 / 150

46. Transition metals show variable oxidation states mainly due to:

1) Only s-electrons

2) Only p-electrons

3) Participation of (n−1)d and ns electrons

4) Very small size

47 / 150

47. log_a (MN) = log_a M + log_a N is:

1) Only for M=N

2) Only for a=10

3) False

4) True

48 / 150

48. If cathode potential is 1.00 V and anode potential is 0.40 V, then Ecell is:

1) 0.50 V

2) 0.60 V

3) 1.00 V

4) 0.70 V

49 / 150

49. A sound wave has speed 340 m/s and frequency 210 Hz. Wavelength is:

1) 0.81 m

2) 3.24 m

3) 0.62 m

4) 1.62 m

50 / 150

50. For z = 1 + i, principal argument is:

1) 0

2) π

3) π/2

4) π/4

51 / 150

51. For a concave mirror of focal length 20 cm, object at -40 cm forms image at v (cm):

1) 40

2) 40/3

3) 20

4) 40

52 / 150

52. Sum of first 5 terms of GP with first term 6 and ratio 2 is:

1) 186

2) 30

3) 184

4) 188

53 / 150

53. If A=[[2,2],[5,6]] and B=[[5,5],[4,7]], then (AB)₁₁ equals:

1) 18

2) 21

3) 18

4) 15

54 / 150

54. Circle with centre (5,2) and radius 9 has equation:

1) (x-5)^2 + (y-2)^2 = 81

2) (x-5)^2 + (y-2)^2 = 9

3) (x+5)^2 + (y+2)^2 = 81

4) (x-2)^2 + (y-5)^2 = 81

55 / 150

55. Osmotic pressure of 0.10 M solution at 300 K (R=0.082) is:

1) 0.10 atm

2) 2.46 atm

3) 1.23 atm

4) 4.92 atm

56 / 150

56. A sound wave has speed 340 m/s and frequency 170 Hz. Wavelength is:

1) 0.50 m

2) 1.00 m

3) 2.00 m

4) 4.00 m

57 / 150

57. Probability of NOT getting a 6 on a fair die is:

1) 5/6

2) 2/3

3) 1/6

4) 1/3

58 / 150

58. If cathode potential is 1.00 V and anode potential is 0.30 V, then Ecell is:

1) 0.80 V

2) 1.00 V

3) 0.70 V

4) 0.60 V

59 / 150

59. If log_2 8 = ?, then the value is:

1) 2

2) 4

3) 8

4) 3

60 / 150

60. A 2 M solution, 40 mL is diluted to 300 mL. Final molarity is:

1) 300

2) 2

3) 40

4) 4/15

61 / 150

61. First ionization energy trend is:

1) Increases down a group

2) Increases left to right across a period

3) Random

4) Decreases left to right

62 / 150

62. If A={1,2,3,4} and B={3,4,5}, then A−B is:

1) {5}

2) {3,4}

3) {1,2,5}

4) {1,2}

63 / 150

63. If cathode potential is 0.85 V and anode potential is 0.40 V, then Ecell is:

1) 0.85 V

2) 0.45 V

3) 0.35 V

4) 0.55 V

64 / 150

64. Volume of a cuboid 3×4×5 is:

1) 80

2) 40

3) 12

4) 60

65 / 150

65. Remainder when 64 is divided by 11 is:

1) 0

2) 10

3) 9

4) 2

66 / 150

66. A box has 3 red and 4 blue balls. Two drawn without replacement. P(both red) is:

1) 2/7

2) 1/7

3) 1/8

4) 3/7

67 / 150

67. If cathode potential is 0.90 V and anode potential is 0.30 V, then Ecell is:

1) 0.90 V

2) 0.50 V

3) 0.70 V

4) 0.60 V

68 / 150

68. A wire has resistivity 2.4 Ω·m, length 4 m and area 1.5 m². Resistance is:

1) 9.60 Ω

2) 6.40 Ω

3) 3.20 Ω

4) 12.80 Ω

69 / 150

69. Two capacitors 6 μF and 5 μF in series have equivalent capacitance (μF):

1) 11

2) 30/11

3) 5

4) 30

70 / 150

70. Derivative of ln x is:

1) x

2) ln x

3) 1/x

4) x ln x

71 / 150

71. For gaseous equilibrium with Δn = −1 at 400 K, if Kc=1.10, then Kp≈Kc/(RT). Find Kp (R=0.082):

1) 1.100

2) 0.034

3) 0.067

4) 0.017

72 / 150

72. Two capacitors 5 μF and 7 μF in parallel have equivalent capacitance:

1) 12 μF

2) 7 μF

3) 35 μF

4) 5 μF

73 / 150

73. A spring of k=100 N/m is stretched by x=0.25 m. Energy stored is:

1) 3.125 J

2) 1.562 J

3) 6.250 J

4) 25.000 J

74 / 150

74. Milk is an example of:

1) alloy

2) suspension

3) true solution

4) emulsion

75 / 150

75. Evaluate: lim(x→0) (1 – cos x)/x^2 equals:

1) 0

2) 2

3) 1/2

4) 1

76 / 150

76. Remainder when 52 is divided by 9 is:

1) 2

2) 8

3) 0

4) 7

77 / 150

77. For an ideal gas, internal energy depends only on:

1) Volume

2) Temperature

3) Pressure

4) Mass only

78 / 150

78. Sum of first 5 terms of GP with first term 3 and ratio 2 is:

1) 93

2) 95

3) 91

4) 15

79 / 150

79. A wire has resistivity 1.6 Ω·m, length 4 m and area 1.5 m². Resistance is:

1) 8.53 Ω

2) 4.27 Ω

3) 6.40 Ω

4) 2.13 Ω

80 / 150

80. Complexes having same formula but different arrangement are:

1) Isotones

2) Polymers

3) Allotropes

4) Isomers

81 / 150

81. Mean of the numbers 13, 20, 19 is:

1) 18.33

2) 16.50

3) 16.33

4) 17.33

82 / 150

82. Osmotic pressure of 0.30 M solution at 300 K (R=0.082) is:

1) 14.76 atm

2) 3.69 atm

3) 7.38 atm

4) 0.30 atm

83 / 150

83. Circle with centre (2,2) and radius 5 has equation:

1) (x+2)^2 + (y+2)^2 = 25

2) (x-2)^2 + (y-2)^2 = 5

3) (x-2)^2 + (y-2)^2 = 25

4) (x-2)^2 + (y-2)^2 = 25

84 / 150

84. Faraday’s first law states mass deposited is proportional to:

1) Voltage

2) Charge passed

3) Time only

4) Resistance

85 / 150

85. A 4 M solution, 30 mL is diluted to 300 mL. Final molarity is:

1) 300

2) 30

3) 2/5

4) 4

86 / 150

86. Distance between lines 6x + 3y + 3 = 0 and 6x + 3y + 7 = 0 is approximately:

1) 0.896

2) 4.000

3) 0.296

4) 0.596

87 / 150

87. In expansion of (1+x)^12, coefficient of x^4 is:

1) 48

2) 495

3) 487

4) 503

88 / 150

88. In a series combination of resistors, the current through each resistor is:

1) Different

2) Equal

3) Zero

4) Depends on length only

89 / 150

89. 1 ppm in water is approximately:

1) 1 g/L

2) 1 mg/L

3) 1%

4) 1 mol/L

90 / 150

90. For gaseous equilibrium with Δn = −1 at 400 K, if Kc=0.70, then Kp≈Kc/(RT). Find Kp (R=0.082):

1) 0.011

2) 0.021

3) 0.043

4) 0.700

91 / 150

91. Heat required to raise 1.25 kg water by 10°C (c=4200 J/kg°C) is:

1) 105000 J

2) 12 J

3) 52500 J

4) 26250 J

92 / 150

92. Crystal field splitting is due to interaction between:

1) Only sigma bonds

2) Only pi bonds

3) Ligand electron pairs and metal d-orbitals

4) Neutrons and protons

93 / 150

93. Polythene is obtained from polymerization of:

1) Ethane

2) Propene

3) Ethyne

4) Ethene

94 / 150

94. Value of 19C0 is:

1) 0

2) 1

3) 18

4) 19

95 / 150

95. A particle moves in a circle of radius 4 m with speed 30 m/s. Centripetal acceleration is:

1) 450.0 m/s²

2) 7.5 m/s²

3) 225.0 m/s²

4) 112.5 m/s²

96 / 150

96. Electric field lines originate from:

1) magnets

2) negative charges

3) positive charges

4) neutral bodies

97 / 150

97. If A moves east at 5 m/s and B moves east at 2 m/s, velocity of A relative to B is:

1) 7 m/s east

2) 3 m/s west

3) 0

4) 3 m/s east

98 / 150

98. Empirical formula is the formula showing:

1) molar mass

2) actual number of atoms

3) isotopes

4) simplest whole number ratio

99 / 150

99. A particle moves in a circle of radius 6 m with speed 20 m/s. Centripetal acceleration is:

1) 3.3 m/s²

2) 66.7 m/s²

3) 133.3 m/s²

4) 33.3 m/s²

100 / 150

100. Distance between lines 5x + 5y + 5 = 0 and 5x + 5y + 9 = 0 is approximately:

1) 0.266

2) 4.000

3) 0.866

4) 0.566

101 / 150

101. For charges 4 μC and 4 μC separated by 2 m, Coulomb force is proportional to:

1) 4.000

2) 2.000

3) 4.000

4) 8.000

102 / 150

102. A box has 5 red and 7 blue balls. Two drawn without replacement. P(both red) is:

1) 5/12

2) 5/34

3) 5/33

4) 6/33

103 / 150

103. For a concave mirror of focal length 20 cm, object at -45 cm forms image at v (cm):

1) 180/13

2) 180

3) 20

4) 45

104 / 150

104. Rate of diffusion is inversely proportional to square root of:

1) pressure

2) volume

3) temperature

4) molar mass

105 / 150

105. A wire has resistivity 3.2 Ω·m, length 4 m and area 1.5 m². Resistance is:

1) 4.27 Ω

2) 8.53 Ω

3) 12.80 Ω

4) 17.07 Ω

106 / 150

106. If A=[[5,6],[6,4]] and B=[[5,2],[4,5]], then (AB)₁₁ equals:

1) 52

2) 46

3) 50

4) 49

107 / 150

107. Heat required to raise 0.75 kg water by 20°C (c=4200 J/kg°C) is:

1) 31500 J

2) 15 J

3) 63000 J

4) 126000 J

108 / 150

108. For a zero-order reaction, a plot of [A] versus time is:

1) An exponential decay curve

2) A straight line with positive slope

3) A straight line with negative slope

4) A constant line

109 / 150

109. Value of cos 60° is:

1) 1

2) 0

3) 1/2

4) √3/2

110 / 150

110. Current 5 A flows through 20 Ω resistor. Power dissipated is:

1) 1000 W

2) 500 W

3) 250 W

4) 100 W

111 / 150

111. Number of orbitals in a p-subshell is:

1) 1

2) 3

3) 5

4) 2

112 / 150

112. Correct relation is:

1) ΔS = ΔH − TΔG

2) ΔH = ΔG + TΔS

3) ΔG = ΔH + TΔS

4) ΔG = ΔH − TΔS

113 / 150

113. Evaluate: ∫₀^5 x^3 dx equals:

1) 625

2) 625

3) 125

4) 625/4

114 / 150

114. For parabola y^2 = 24x, the focus is:

1) (6,0)

2) (0,0)

3) (-6,0)

4) (0,6)

115 / 150

115. Evaluate: ∫₀^6 x^5 dx equals:

1) 7776

2) 46656

3) 7776

4) 7776

116 / 150

116. Mean of the numbers 15, 21, 23 is:

1) 20.67

2) 18.00

3) 19.67

4) 18.67

117 / 150

117. If y = sin(2x), then dy/dx at x = 0.000 (radians) is approximately:

1) -2.000

2) 1.500

3) 2.000

4) 2.500

118 / 150

118. Potential energy of charge 3 μC at potential 50 V is:

1) 150 μJ

2) 53 μJ

3) 75 μJ

4) 300 μJ

119 / 150

119. If A=[[4,3],[4,1]] and B=[[5,2],[4,2]], then (AB)₁₁ equals:

1) 31

2) 29

3) 32

4) 35

120 / 150

120. For quadratic y = 3x^2 -5x + 1, x-coordinate of vertex is:

1) -5

2) 3

3) 5/6

4) 5

121 / 150

121. Arrhenius equation primarily relates rate constant to:

1) Pressure

2) Surface area

3) Volume

4) Temperature

122 / 150

122. Circle with centre (2,2) and radius 6 has equation:

1) (x-2)^2 + (y-2)^2 = 36

2) (x-2)^2 + (y-2)^2 = 36

3) (x-2)^2 + (y-2)^2 = 6

4) (x+2)^2 + (y+2)^2 = 36

123 / 150

123. If det(A)=11 for a 2×2 matrix A, then det(2A) equals:

1) 22

2) 11

3) 44

4) 88

124 / 150

124. Centripetal acceleration is directed:

1) zero

2) radially inward

3) radially outward

4) tangentially

125 / 150

125. If cathode potential is 0.85 V and anode potential is 0.30 V, then Ecell is:

1) 0.55 V

2) 0.65 V

3) 0.45 V

4) 0.85 V

126 / 150

126. Vectors a=(2,5) and b=(-5,2) are:

1) None of these

2) Perpendicular

3) Parallel

4) Equal

127 / 150

127. On increasing pressure, gaseous equilibrium shifts towards side with:

1) Fewer moles of gas

2) More solids

3) More liquids

4) More moles of gas

128 / 150

128. For quadratic y = 3x^2 -11x + 1, x-coordinate of vertex is:

1) -11

2) 3

3) 11/6

4) 11

129 / 150

129. If cathode potential is 0.80 V and anode potential is 0.40 V, then Ecell is:

1) 0.80 V

2) 0.30 V

3) 0.40 V

4) 0.50 V

130 / 150

130. Photon energy for frequency 9×10^14 Hz is 3.73 eV. If work function is 2.2 eV, max KE is:

1) 2.20 eV

2) 1.33 eV

3) 1.53 eV

4) 1.73 eV

131 / 150

131. For charges 4 μC and 6 μC separated by 4 m, Coulomb force is proportional to:

1) 2.500

2) 3.000

3) 1.500

4) 0.750

132 / 150

132. Myopia is corrected using:

1) no lens

2) convex lens

3) concave lens

4) cylindrical lens

133 / 150

133. Two capacitors 6 μF and 4 μF in parallel have equivalent capacitance:

1) 10 μF

2) 24 μF

3) 6 μF

4) 4 μF

134 / 150

134. Evaluate: ∫₀^2 x^3 dx equals:

1) 4

2) 4

3) 16

4) 8

135 / 150

135. A spring of k=200 N/m is stretched by x=0.15 m. Energy stored is:

1) 30.000 J

2) 2.250 J

3) 1.125 J

4) 4.500 J

136 / 150

136. Vectors a=(2,2) and b=(-2,2) are:

1) Equal

2) Perpendicular

3) None of these

4) Parallel

137 / 150

137. If cathode potential is 0.95 V and anode potential is 0.30 V, then Ecell is:

1) 0.65 V

2) 0.55 V

3) 0.75 V

4) 0.95 V

138 / 150

138. A 2 M solution, 30 mL is diluted to 100 mL. Final molarity is:

1) 30

2) 100

3) 3/5

4) 2

139 / 150

139. Which is readily oxidized to carboxylic acid?

1) Ketone

2) Ether

3) Aldehyde

4) Alkane

140 / 150

140. Photon energy for frequency 7×10^14 Hz is 2.90 eV. If work function is 2.2 eV, max KE is:

1) 0.90 eV

2) 0.70 eV

3) 2.20 eV

4) 0.50 eV

141 / 150

141. For a convex lens with f=30 cm and object distance u=-90 cm, image distance v (cm) is:

1) 90

2) 30

3) 45

4) 45

142 / 150

142. A box has 5 red and 5 blue balls. Two drawn without replacement. P(both red) is:

1) 3/9

2) 5/10

3) 2/10

4) 2/9

143 / 150

143. A transformer has Np=200, Ns=400. If primary current Ip=4 A, secondary current Is is:

1) 2.00 A

2) 4.00 A

3) 1.00 A

4) 4.00 A

144 / 150

144. Shape of NH3 molecule is:

1) trigonal planar

2) tetrahedral

3) trigonal pyramidal

4) linear

145 / 150

145. Potential energy of charge 3 μC at potential 130 V is:

1) 780 μJ

2) 195 μJ

3) 390 μJ

4) 133 μJ

146 / 150

146. Among these acids, the strongest is:

1) CH3COOH

2) H2O

3) H2CO3

4) HClO4

147 / 150

147. For a concave mirror of focal length 20 cm, object at -50 cm forms image at v (cm):

1) 50

2) 100

3) 20

4) 100/7

148 / 150

148. Current 7 A flows through 30 Ω resistor. Power dissipated is:

1) 1470 W

2) 2940 W

3) 735 W

4) 210 W

149 / 150

149. Bond order of O2 is:

1) 1

2) 1.5

3) 2

4) 3

150 / 150

150. Detergents are more effective than soaps in:

1) no water

2) hard water

3) soft water

4) distilled water

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