# General Engineering and Applied Sciences Mastery Test 1: ECE Pre-Board

(Last Updated On: January 7, 2018)

76. A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal, or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest.

Solution:

77. During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

• A. pVγ = constant
• B. pV = nRT
• C. TVγ-1 = constant
• D. pV = constant

Solution:

78. In order that a single process be both isothermal and isobaric:

• A. one must use an ideal gas
• B. such a process is impossible
• C. a change of phase is essential
• D. one may use any real gas such as N2

Solution:

79. A condition where only few individual produce a certain product that action of one will lead to almost the same action by the other.

• A. monopoly
• B. oligopoly
• C. semi-monopoly
• D. perfect competition

Solution:

80. If R is the range for an angle of projection of 15° with the horizontal, then the other angle of projection for which the range is R, is

• A. 75°
• B. 60°
• C. 45°
• D. 30°

Solution:

81. An object is thrown along a direction inclined at an angle of 45° with the horizontal direction. The horizontal range of the particle is

• A. four times the vertical height
• B. thrice the vertical height
• C. twice the vertical height
• D. equal to vertical height

Solution:

82. A ball is projected with kinetic energy K at an angle of 45° to the horizontal. At the highest point during its flight, its kinetic energy will be

• A. K
• B. K/√2
• C. K/2
• D. zero

Solution:

83. Is the simplest form of business organization?

• A. sole proprietorship
• B. partnership
• C. partnership
• D. corporation

Solution:

84. The enthalpy change is the heat absorbed or given off during a chemical reaction that occurs at constant.

• A. temperature
• B. reaction rate
• C. volume
• D. pressure

Solution:

85. Two balls are projected from the same point in directions at 30° and 60° with the horizontal. Both the balls attain the same height. The ratio of their velocities of projection is

• A. √3 : 2
• B. √3 : 3
• C. √3 : 5
• D. √3 : 1

Solution:

86. Citric acid, C6H8O7, is found in many fruits. What is the weight percent of carbon in the compound?

• A. 37.5%
• B. 4.2%
• C. 58.3%
• D. 18.8%

Solution:

87. A bomb is dropped on an enemy post by an airplane flying horizontally with a velocity of 60 km/h and at a height of 490 m. At the time of dropping the bomb, how far the airplane should be from the enemy post so that the bomb may directly hit the target?

• A. 400/3 m
• B. 500/3 m
• C. 1700/3 m
• D. 250/3 m

Solution:

88. An airplane flying horizontally with a velocity of 216 km/hr drops a food packet while flying at a height of 490 m. The total horizontal distance travelled by the packet is

• A. 600 m
• B. 490 m
• C. 216 m
• D. 500 m

Solution:

89. Two bodies of masses m1 and m2 are connected by a light, inextensible string which passes over a frictionless pulley. If the pulley is moving upward with uniform acceleration g, then the tension in the string is

• A. (4m1m2) / (m1 + m2) g
• B. (m1 + m2) / (4m1m2) g
• C. (m1m2) / (m1 + m2) g
• D. (m1 – m2) / (4m1 + m2) g

Solution:

90. Young’s Modulus is the

• A. ratio of stress to strain
• B. ratio of strain to stress
• C. force per unit area
• D. force per unit elongation

Solution:

91. The molar mass of vitamin C, C6H8O6, is

• A. 29.02 g/mol
• B. 230.13 g/mol
• C. 176.13 g/mol
• D. 72.00 g/mol

Solution:

92. Based on everyday experience, which of the following substances has the smallest specific heat capacity, that is, which one heats up most readily?

• A. water
• B. copper
• C. wood
• D. cement

Solution:

93. A block of mass 1 kg is at rest on a horizontal table. The coefficient of static friction between the block and table is 0.5. If g = 10 m/s2, then the magnitude of the force acting upward at an angle of 60° from the horizontal that will just start the block moving is

• A. 5 N
• B. 5.36 N
• C. 74.6 N
• D. 10 N

Solution:

94. Potassium metal (3.91 g) is allowed to react with excess oxygen (O2). The reaction yields 7.11 g of an explosive, yellow solid called a “superoxide.” What is the empirical formula of the compound?

• A. KO
• B. KO2
• C. K2O
• D. K2O3

Solution:

95. How many moles are contained in 0.206 g of potassium sulfate?

• A. 1.63 x 10-3 mol
• B. 846 mol
• C. 1.52 x 10-3 mol
• D. 1.18 x 10-3 mol

Solution:

96. If there is a positive error of 50% in the measurement of speed of a body, then the error in the measurement of kinetic energy is

• A. 25%
• B. 50%
• C. 100%
• D. 125%

Solution:

97. A particle is moving on a circular path with constant speed v. What is the change in its velocity after it has described an angle of 60°?

• A. v√2
• B. v√3
• C. v
• D. 2v

Solution:

98. A car with a vertical wind shield moves along in a rain storm at speed of 40 km/h. The rain drops fall vertically with a terminal speed of 20 m/s. The angle at which the rain drops strike the wind shield is

• A. tan-1 (2/3)
• B. tan-1 (3/2)
• C. tan-1 (5/9)
• D. tan-1 (9/5)

Solution:

99. The center of gravity of a body

• A. must be within the body
• B. may be near but not necessarily within the body
• C. can never be precisely located
• D. changes its position from time to time

Solution:

100. The acceleration of a body revolving in a circle at uniform speed is

• A. Zero
• B. Directed tangentially
• C. directed toward the center
• D. directed away from the center

Solution:

### Complete List of General Engineering and Applied Sciences Exams: ECE Pre-Board

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