MHTCET B.TECH TYPE 4

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MHTCET B.TECH TYPE 4

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1 / 150

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

1) 0.50 V

2) 0.30 V

3) 0.80 V

4) 0.40 V

2 / 150

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

1) zero

2) positive

3) infinite

4) negative

3 / 150

3. Derivative of ln x is:

1) x

2) 1/x

3) ln x

4) x ln x

4 / 150

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

1) 1.00 A

2) 4.00 A

3) 2.00 A

4) 4.00 A

5 / 150

5. Centripetal acceleration is directed:

1) tangentially

2) zero

3) radially outward

4) radially inward

6 / 150

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

1) constant

2) 1/v

3) v

4) v^2

7 / 150

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

1) 3.000

2) 1.500

3) 2.500

4) 0.750

8 / 150

8. Unit of radioactivity is:

1) tesla

2) henry

3) weber

4) becquerel

9 / 150

9. Electric field lines originate from:

1) magnets

2) neutral bodies

3) positive charges

4) negative charges

10 / 150

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

1) 0.50 V

2) 0.90 V

3) 0.60 V

4) 0.70 V

11 / 150

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

1) 640

2) 40

3) 10

4) 160

12 / 150

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

1) 126

2) 134

3) 45

4) 118

13 / 150

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

1) 6/5

2) 5

3) 2

4) 6

14 / 150

14. Correct relation is:

1) ΔS = ΔH − TΔG

2) ΔG = ΔH − TΔS

3) ΔG = ΔH + TΔS

4) ΔH = ΔG + TΔS

15 / 150

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

1) 50

2) 46

3) 52

4) 49

16 / 150

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

1) Substrate only

2) Solvent only

3) Substrate and nucleophile

4) Nucleophile only

17 / 150

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

1) 3

2) -3

3) 3/2

4) 3

18 / 150

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

1) 18

2) 15

3) 21

4) 18

19 / 150

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

1) 6.40 Ω

2) 8.53 Ω

3) 4.27 Ω

4) 2.13 Ω

20 / 150

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

1) 31

2) 32

3) 29

4) 35

21 / 150

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

1) 12 J

2) 52500 J

3) 26250 J

4) 105000 J

22 / 150

22. Unit of work is same as unit of:

1) force

2) energy

3) power

4) pressure

23 / 150

23. Myopia is corrected using:

1) no lens

2) cylindrical lens

3) convex lens

4) concave lens

24 / 150

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

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

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

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

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

25 / 150

25. Which is readily oxidized to carboxylic acid?

1) Ketone

2) Aldehyde

3) Alkane

4) Ether

26 / 150

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

1) 1.562 J

2) 6.250 J

3) 3.125 J

4) 25.000 J

27 / 150

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

1) 0.45 V

2) 0.85 V

3) 0.35 V

4) 0.55 V

28 / 150

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

1) 50

2) 2

3) 1/2

4) 200

29 / 150

29. 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

30 / 150

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

1) (-6,0)

2) (0,0)

3) (6,0)

4) (0,6)

31 / 150

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

1) 2/3

2) 4

3) 50

4) 300

32 / 150

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

1) 7.5 m/s²

2) 225.0 m/s²

3) 450.0 m/s²

4) 112.5 m/s²

33 / 150

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

1) 3.24 m

2) 0.62 m

3) 0.81 m

4) 1.62 m

34 / 150

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

1) -12

2) 12

3) 7

4) -7

35 / 150

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

1) 20

2) 4

3) 100

4) 4/5

36 / 150

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

1) 195 μJ

2) 390 μJ

3) 780 μJ

4) 133 μJ

37 / 150

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

1) 0.596

2) 4.000

3) 0.896

4) 0.296

38 / 150

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

1) 4.00 A

2) 2.00 A

3) 4.00 A

4) 1.00 A

39 / 150

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

1) 5/33

2) 6/33

3) 5/34

4) 5/12

40 / 150

40. Value of 19C0 is:

1) 0

2) 18

3) 1

4) 19

41 / 150

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

1) 3 m/s east

2) 3 m/s west

3) 0

4) 7 m/s east

42 / 150

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

1) 9.84 atm

2) 2.46 atm

3) 0.20 atm

4) 4.92 atm

43 / 150

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

1) 4/15

2) 40

3) 300

4) 2

44 / 150

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

1) 30

2) 300

3) 4

4) 2/5

45 / 150

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

1) 20

2) 100

3) 100/7

4) 50

46 / 150

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

1) 44

2) 22

3) 11

4) 88

47 / 150

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

1) 2

2) 0

3) 1

4) 1/2

48 / 150

48. Sum of first 5 natural numbers is:

1) 10

2) 20

3) 15

4) 12

49 / 150

49. 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 = 81

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

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

50 / 150

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

1) molar mass

2) pressure

3) temperature

4) volume

51 / 150

51. 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 = 25

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

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

52 / 150

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

1) 14.5°

2) 19.5°

3) 24.5°

4) 20.0°

53 / 150

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

1) 72

2) 36

3) 18

4) 9

54 / 150

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

1) 210 W

2) 1470 W

3) 735 W

4) 2940 W

55 / 150

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

1) 10

2) 100

3) 2

4) 1/5

56 / 150

56. Detergents are more effective than soaps in:

1) hard water

2) soft water

3) no water

4) distilled water

57 / 150

57. Empirical formula is the formula showing:

1) molar mass

2) simplest whole number ratio

3) isotopes

4) actual number of atoms

58 / 150

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

1) 12 μF

2) 7 μF

3) 35 μF

4) 5 μF

59 / 150

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

1) 2.20 eV

2) 0.90 eV

3) 0.50 eV

4) 0.70 eV

60 / 150

60. In disproportionation reaction, an element is:

1) only oxidized

2) both oxidized and reduced

3) neither

4) only reduced

61 / 150

61. Echo is due to:

1) reflection of sound

2) interference only

3) refraction

4) diffraction

62 / 150

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

1) 0.017

2) 0.067

3) 0.034

4) 1.100

63 / 150

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

1) 1/3

2) 5/6

3) 1/6

4) 2/3

64 / 150

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

1) 180

2) 45

3) 20

4) 180/13

65 / 150

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

1) 95

2) 15

3) 91

4) 93

66 / 150

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

1) A straight line with positive slope

2) A constant line

3) A straight line with negative slope

4) An exponential decay curve

67 / 150

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

1) 70

2) 26

3) 86

4) 78

68 / 150

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

1) 205.8 J

2) 42.0 J

3) 823.2 J

4) 411.6 J

69 / 150

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

1) 2.500

2) 2.000

3) -2.000

4) 1.500

70 / 150

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

1) True

2) False

3) Only for M=N

4) Only for a=10

71 / 150

71. Complexes having same formula but different arrangement are:

1) Allotropes

2) Polymers

3) Isotones

4) Isomers

72 / 150

72. Oxidation number of Mn in KMnO4 is:

1) +6

2) +4

3) +7

4) +2

73 / 150

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

1) 126000 J

2) 31500 J

3) 15 J

4) 63000 J

74 / 150

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

1) 2

2) 5

3) 3

4) 1

75 / 150

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

1) 7.38 atm

2) 14.76 atm

3) 3.69 atm

4) 0.30 atm

76 / 150

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

1) 45 W

2) 180 W

3) 30 W

4) 90 W

77 / 150

77. Evaluate: ∫₀^5 x^3 dx equals:

1) 625

2) 625/4

3) 625

4) 125

78 / 150

78. Weight of a body of mass m is:

1) m+g

2) m/g

3) mg

4) g/m

79 / 150

79. Value of cos 60° is:

1) 0

2) 1/2

3) √3/2

4) 1

80 / 150

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

1) (2,0)

2) (3,0)

3) (1,0)

4) (4,0)

81 / 150

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

1) 0.55 V

2) 0.65 V

3) 0.75 V

4) 0.95 V

82 / 150

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

1) 4.92 atm

2) 0.10 atm

3) 2.46 atm

4) 1.23 atm

83 / 150

83. Crystal field splitting is due to interaction between:

1) Only pi bonds

2) Only sigma bonds

3) Ligand electron pairs and metal d-orbitals

4) Neutrons and protons

84 / 150

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

1) 40

2) 40/3

3) 40

4) 20

85 / 150

85. Evaluate: ∫₀^6 x^5 dx equals:

1) 7776

2) 46656

3) 7776

4) 7776

86 / 150

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

1) 3/5

2) 30

3) 2

4) 100

87 / 150

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

1) 64.0 m

2) 144.0 m

3) 112.0 m

4) 128.0 m

88 / 150

88. Monomer of DNA is:

1) Amino acid

2) Nucleotide

3) Fatty acid

4) Sucrose

89 / 150

89. Bond order of O2 is:

1) 3

2) 2

3) 1

4) 1.5

90 / 150

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

1) 30

2) 5

3) 11

4) 30/11

91 / 150

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

1) 4.000

2) 0.866

3) 0.266

4) 0.566

92 / 150

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

1) 500 W

2) 100 W

3) 250 W

4) 1000 W

93 / 150

93. Shape of NH3 molecule is:

1) linear

2) trigonal pyramidal

3) trigonal planar

4) tetrahedral

94 / 150

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

1) 0.50 m

2) 4.00 m

3) 2.00 m

4) 1.00 m

95 / 150

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

1) 6 μF

2) 24 μF

3) 4 μF

4) 10 μF

96 / 150

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

1) {1,2,5}

2) {3,4}

3) {5}

4) {1,2}

97 / 150

97. 1 ppm in water is approximately:

1) 1%

2) 1 mg/L

3) 1 mol/L

4) 1 g/L

98 / 150

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

1) 0.60 V

2) 0.80 V

3) 1.00 V

4) 0.70 V

99 / 150

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

1) 1.73 eV

2) 1.53 eV

3) 2.20 eV

4) 1.33 eV

100 / 150

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

1) Only neutral salt

2) A strong acid only

3) A strong base only

4) A weak acid and its conjugate base

101 / 150

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

1) -11

2) 3

3) 11/6

4) 11

102 / 150

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

1) 48

2) 487

3) 503

4) 495

103 / 150

103. Milk is an example of:

1) suspension

2) emulsion

3) alloy

4) true solution

104 / 150

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

1) 1.900

2) 1.300

3) 8.000

4) 1.600

105 / 150

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

1) 188

2) 186

3) 30

4) 184

106 / 150

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

1) 75 μJ

2) 150 μJ

3) 300 μJ

4) 53 μJ

107 / 150

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

1) 30

2) 10

3) 15

4) 15

108 / 150

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

1) 3.3 m/s²

2) 133.3 m/s²

3) 33.3 m/s²

4) 66.7 m/s²

109 / 150

109. Volume of a cuboid 3×4×5 is:

1) 60

2) 80

3) 40

4) 12

110 / 150

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

1) Equal

2) Parallel

3) Perpendicular

4) None of these

111 / 150

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

1) 124

2) 20

3) 126

4) 122

112 / 150

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

1) 4!

2) 3!

3) 6!

4) 5!

113 / 150

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

1) Time only

2) Charge passed

3) Voltage

4) Resistance

114 / 150

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

1) 0.021

2) 0.043

3) 0.700

4) 0.011

115 / 150

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

1) 5/6

2) 5

3) 3

4) -5

116 / 150

116. Arrhenius equation primarily relates rate constant to:

1) Surface area

2) Volume

3) Pressure

4) Temperature

117 / 150

117. First ionization energy trend is:

1) Increases left to right across a period

2) Random

3) Increases down a group

4) Decreases left to right

118 / 150

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

1) 1058.4 J

2) 529.2 J

3) 264.6 J

4) 54.0 J

119 / 150

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

1) 2/9

2) 5/10

3) 3/9

4) 2/10

120 / 150

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

1) Perpendicular

2) Equal

3) Parallel

4) None of these

121 / 150

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

1) 1.125 J

2) 2.250 J

3) 30.000 J

4) 4.500 J

122 / 150

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

1) 4

2) 8

3) 2

4) 3

123 / 150

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

1) More moles of gas

2) Fewer moles of gas

3) More solids

4) More liquids

124 / 150

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

1) 1.00 V

2) 0.50 V

3) 0.70 V

4) 0.60 V

125 / 150

125. Among these acids, the strongest is:

1) H2O

2) HClO4

3) H2CO3

4) CH3COOH

126 / 150

126. Unit of electric current is:

1) ampere

2) ohm

3) volt

4) coulomb

127 / 150

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

1) 30

2) 30

3) 60

4) 20

128 / 150

128. Remainder when 52 is divided by 9 is:

1) 8

2) 0

3) 7

4) 2

129 / 150

129. Addition reactions are characteristic of:

1) alkenes

2) alkanes

3) alkyl halides

4) amines

130 / 150

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

1) 19.67

2) 18.67

3) 18.00

4) 20.67

131 / 150

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

1) 4.000

2) 4.000

3) 8.000

4) 2.000

132 / 150

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

1) 90

2) 45

3) 45

4) 30

133 / 150

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

1) Equal

2) Different

3) Depends on length only

4) Zero

134 / 150

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

1) 1/8

2) 1/7

3) 3/7

4) 2/7

135 / 150

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

1) π/4

2) 0

3) π/2

4) π

136 / 150

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

1) increases

2) becomes negative

3) decreases

4) remains constant

137 / 150

137. Remainder when 64 is divided by 11 is:

1) 2

2) 9

3) 10

4) 0

138 / 150

138. +I effect is shown by:

1) -F

2) -NO2

3) -CH3

4) -COOH

139 / 150

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

1) 0.60 V

2) 0.40 V

3) 0.50 V

4) 0.90 V

140 / 150

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

1) 0.023

2) 0.091

3) 1.500

4) 0.046

141 / 150

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

1) 8.53 Ω

2) 17.07 Ω

3) 4.27 Ω

4) 12.80 Ω

142 / 150

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

1) Volume

2) Temperature

3) Pressure

4) Mass only

143 / 150

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

1) 4

2) 200

3) 10

4) 1/5

144 / 150

144. Evaluate: ∫₀^2 x^3 dx equals:

1) 4

2) 8

3) 4

4) 16

145 / 150

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

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

2) Very small size

3) Only p-electrons

4) Only s-electrons

146 / 150

146. 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

147 / 150

147. Polythene is obtained from polymerization of:

1) Ethyne

2) Ethane

3) Propene

4) Ethene

148 / 150

148. Value of 17C0 is:

1) 17

2) 1

3) 16

4) 0

149 / 150

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

1) 17.33

2) 16.50

3) 18.33

4) 16.33

150 / 150

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

1) 0.45 V

2) 0.55 V

3) 0.85 V

4) 0.65 V

The average score is 0%

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