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

(Last Updated On: January 7, 2018)

51. Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4 m. The average translational kinetic energies are the same if the ratio of the temperatures TA/TB is:

• A. ¼
• B. ½
• C. 1
• D. 2

Solution:

52. A projectile is fired from ground level over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. Using g = 10 m/s2, the distance from launching to landing points is

• A. 40 m
• B. 60 m
• C. 80 m
• D. 120 m

Solution:

53. The recorded current value of an asset is known as

• A. scrap value
• B. salvage value
• C. book value
• D. present worth

Solution:

54. A ball with a weight of 1.5 N is thrown at an angle of 30° above the horizontal with an initial speed of 12 m/s. At its highest point, the net force on the ball is

• A. 9.8 N, 30° below horizontal
• B. zero
• C. 9.8 N, up
• D. 1.5 N, down

Solution:

55. String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis. The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder. As each small segment of string leaves the cylinder, its acceleration changes by:

• A. 0
• B. 0.010 m/s2
• C. 0.020 m/s2
• D. 0.20 m/s2

Solution:

56. A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2. The tangential acceleration of a point on its rim is:

• B. 3.0 m/s2
• C. 5.0 m/s2

Solution:

57. A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg·m2. It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is:

Solution:

58. When two gases separated by a diathermal wall are in thermal equilibrium with each other:

• A. only their pressures must be the same
• B. only their volumes must be the same
• C. they must have the same number of particles
• D. only their temperatures must be the same

Solution:

59. A balloon is filled with cold air and placed in a warm room. It is NOT in thermal equilibrium with the air of the room until:

• A. it rises to the ceiling
• B. it sinks to the floor
• C. it stops expanding
• D. it starts to contract

Solution:

60. During a slow adiabatic expansion of a gas:

• A. the pressure remains constant
• B. energy is added as heat
• C. work is done on the gas
• D. no energy enters or leaves as heat

Solution:

61. Two objects with masses of m1 and m2 have the same kinetic energy and are both moving to the right. The same constant force F is applied to the left to both masses. If m1 = 4m2, the ratio of the stopping distance of m1 to that of m2 is:

• A. 1:4
• B. 4:1
• C. 1:2
• D. 1:1

Solution:

62. A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is

• A. 43 m/s
• B. 61 m/s
• C. 120 m/s
• D. 190 m/s

Solution:

63. A man weighing 700 Nb is in an elevator that is accelerating upward at 4 m/s2. The force exerted on him by the elevator floor is

• A. 71 N
• B. 290 N
• C. 410 N
• D. 990 N

Solution:

64. The lessening of the value of an asset due to the decrease in the quantity available (referring to the natural resources, coal, etc.)

• A. depreciation
• B. depletion
• C. inflation
• D. incremental cost

Solution:

65. A cube of aluminum has an edge length of 20 cm. Aluminum has a density 2.7 times that of water (1 g/cm3) and a specific heat 0.217 times that of water (1 cal/g·C°). When the internal energy of the cube increases by 47000 cal its temperature increases by

• A. 5 C°
• B. 10 C°
• C. 20 C°
• D. 100 C°

Solution:

66. A Carnot heat engine and an irreversible heat engine both operate between the same high temperature and low temperature reservoirs. They absorb the same energy from the high temperature reservoir as heat. The irreversible engine

• A. does more work
• B. transfers more energy to the low temperature reservoir as heat
• C. has the greater efficiency
• D. has the same efficiency as the reversible engine

Solution:

67. Glycine, one of the essential amino acids, has two carbon atoms, five hydrogen atoms, two oxygen atoms, and one nitrogen atom per molecule. Its formula is written as

• A. C2H5NO2
• B. Ca2H5NO2
• C. C2H5NeO2
• D. CHNO2

Solution:

68. Some common ions based on Group 1A or alkali metal elements are

• A. Na+, Ca2+, Fe3+
• B. Na+, Li+, Cs+
• C. Li+, Ag+, Au+
• D. Ca2+, Ba2+, Sr2+

Solution:

69. The molar mass of hydrazine, N2H4, is

• A. 4.08 g/mol
• B. 28.00 g/mol
• C. 16.03 g/mol
• D. 32.05 g/mol

Solution:

70. An association of two or more persons for a purpose of engaging in a profitable business.

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

Solution:

71. Transition metals can combine with carbon monoxide (CO) to form compounds such as Fe(CO)5 and CO2(CO)8. Assume that you combine 0.125 g of nickel with CO and isolate 0.364 g of Ni(CO)x. What is the value of x?

• A. 1
• B. 2
• C. 3
• D. 4

Solution:

72. A real gas undergoes a process that can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

• A. pV
• B. p(V2 – V1)
• C. (p2 – p1)V
• D. ∫pdV

Solution:

73. An inventor claims to have a heat engine that has an efficiency of 40% when it operates between a high temperature reservoir of 150° C and a low temperature reservoir of 30° C. This engine:

• A. must violate the zeroth law of thermodynamics
• B. must violate the first law of thermodynamics
• C. must violate the second law of thermodynamics
• D. must violate the third law of thermodynamics

Solution:

74. How many grams are there in 1.36 mol of ethyl alcohol, C2H6O?

• A. 0.0160 g
• B. 123 g
• C. 62.7 g
• D. 6.27 g

Solution:

75. What is the name given to the type of a chemical reaction characterized by the release of heat energy?

• A. endothermic
• B. nonspontaneous
• C. exothermic

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