REGISTERED ELECTRICAL ENGINEERS Licensure Examination
8:00 – 12:00 nn
--------------------------------------------------------------------------------------------ENGINEERING SCIENCES and ALLIED SUBJECTS
I N S T R U C T I O N : Select the correct answer for each of the following questions. Mark only one answer for each item by shading
the box corresponding to the letter of your choice in the answer sheet provided. STRICTLY NO ERASURES
ALLOWED. Use pencil No. 2 only.
MULTIPLE CHOICE:
1. Calculate the initial temperature of the gas when placed in a vessel and heated through
1°C, the pressure increases by 0.4%.
A. 250°K*
C. 245°K
B. 240°K
D. 235°K
2. A 20-gram ice at 0°C melts to water at 0°C. Compute the change in entropy in this process.
A. 24.5 J/°K*
C. 26.8 J/°K
B. 27.4 J/°K
D. 28.6 J/°K
3. The freezing point on thermometer is marked as 20°C and the boiling point as 150°C. What
is the thermometer reading if the temperature is 60°C?
A. 98°C*
C. 112°C
B. 82°C
D. 87°C
4. Calculate the ratio of the RMS speeds of hydrogen and oxygen at a given temperature.
A. 3:1
C. 5:1
B. 4:1*
D. 6:1
5. A piece of copper weighing 50 grams is heated to 100°C in steam. It is then immersed
into water at 27°C. The water in the calorimeter weighs 100 g and the inner aluminum cap
weighs 50 g. Determine the specific heat of copper if the final temperature is 30°C. The
specific heat of aluminum is 0.22 calories per gram per °C.
A. 0.095 cal/g-°C*
C. 0.087 cal/g-°C
B. 0.075 cal/g-°C
D. 0.061 cal/g-°C
6. Calculate the change in internal energy of 5 lbm oxygen gas when the temperature changes
from 100°F to 120°F and Cv = 0.157 BTU/lbm-°R.
A. 15.7 BTU*
C. 18.2 BTU
B. 19.2 BTU
D. 13.7 BTU
7. An
is
A.
B.
engine operating at 25% efficiency produces work at a rate of 0.10 MW. At what rate
heat exhausted into the surroundings?
0.20 MW
C. 0.30 MW*
0.10 MW
D. 0.40 MW
8. Determine the temperature change of ideal oxygen throttled at 140°F from 10 atm to 5
atm.
A. 10°F
C. 0°F*
B. 20°F
D. 30°F
9. Determine the weight of a cubic inch of gold if the specific gravity of gold is 19.
A. 0.7 lb/in3 *
C. 0.8 lb/in3
3
B. 0.9 lb/in
D. 0.6 lb/in3
10. If a 75-kg man jumps off a raft 2 meter square moored in a freshwater lake, by how much
does the raft rise?
A. 1.5675 cm
C. 1.6325 cm
B. 1.7575 cm
D. 1.8750 cm*
11. A tank containing water has an orifice 10 meters below the surface of the water in the
tank. Determine the speed of discharge if there is no wastage of energy.
A. 13 m/s
C. 15 m/s
B. 14 m/s*
D. 16 m/s
12. An iceberg floats in seawater. What percentage of the volume of the iceberg is submerged?
The density of ice is 920 kg/m3 and that of the seawater is 1030 kg/m3.
A. 76%
C. 82%
B. 89%*
D. 90%
13. The interior of a submarine located at a depth of 50 m in seawater is maintained at
sea-level atmospheric pressure. If the density of seawater in 1.03 x 103 kg/m3, determine
the force acting on a window 20 cm square.
A. 3.7 x 104 N
C. 4.1 x 104 N
B. 5.4 x 104 N
D. 2.0 x 104 N*
14. Determine the vertical pressure due to a column of water 85 m high.
A. 6.34 x 105 N/m2
C. 8.34 x 105 N/m2 *
B. 7.34 x 105 N/m2
D. 9.34 x 105 N/m2
15. A bubble at the bottom of the sea has twice the volume as it reaches the surface. How
deep is the sea at that point? Specific gravity of water is 1.03.
A. 8.73 m
C. 9.16 m
B. 9.65 m
D. 10.03 m*
16. Determine the pressure 8000 ft below the surface of the ocean.
A. 800,000 pounds per cubic feet
C. 950,000 pounds per cubic feet
B. 512,000 pounds per cubic feet*
D. 754,000 pounds per cubic feet
17. A body weighs 30,000 dynes in air and 20,000 dynes in water. Compute its specific
gravity.
A. 1.50
C. 3.00*
B. 2.25
D. 3.25
18. A shearing stress acting on a body changes its ____.
A. shape*
C. length
B. volume
D. area
19. The ratio of the unsupported length to the least radius of gyration of a column is
called ____.
A. Poisson’s ratio
C. Slenderness ratio*
B. Modulus of Elasticity
D. Strain
20. A circular steel shaft subjected to torsion will develop _____.
A. Shearing stress*
C. Tensile stress
B. Bearing stress
D. Bending stress
21. The viscosity of a fluid varies with
A. Temperature*
B. Pressure
C. density
D. temperature and pressure
22.
A 8.00-L sample of gas at 99.0 kPa and 25 deg C is compressed. What is its final
pressure at 25 deg C if the gas is compressed 2.00 L?
A. 396 kPa
C. 264 kPa
B. 132 kPa
D. 528 kPa
23.
What is the strong bond between hydrogen atoms as?
A. The ionic bound
c. Ionic and metallic bonds
B. The metallic bound
d. The covalent bonds*
24.
Determine the moment of inertia of a circle of diameter 5 in about a diameter.
A. 30.7 in^4*
C. 15.35 in^4
B. 61.4 in^4
D. 46.02 in^4
25.
Convert (11011) base 2 to base 8.
A. 31
B. 27
C. 33*
D. 29
26.
Calculate the pressure of oxygen in a mixture at 105.9 kPa containing 0.400 mol of
oxygen and 0.200 mol of nitrogen.
A. 176.5 kPa
C. 35.3 kPa
B. 141.2 kPa
D. 70.6 kPa
27.
(11100) base 2 = (____) base 16
A. 2E
C. 1C*
B. 2A
28.
D. 1B
If a twisting moment of 10,000 lb-in is impressed 1- (3/4) in diameter shaft, what is
the maximum shearing stress developed?
A. 8,500 psi
C. 9,500 psi*
B. 9,200 psi
D. 8,900 psi
29.
The path of projectile is:
A. A parabola*
C. A part of a circle
B. An ellipse
D. A hyperbola
C.
30. What is the pump power needed to increase the pressure by 600 kPa in a 8-cm-dia pipe
transporting 0.04 cu.m./s?
A. 32 kW
C. 18 kW
B. 24 kW
D. 43 kW
31.
A heat pump delivers 20,000 kJ/hr of heat with a .39 kW input. Calculate the COP.
A. 3
C. 5
B. 4*
D. 6
32. During an isentropic process, which of the following is true?
A. The temperature increases as the pressure decreases
B. The temperature increases as the volume increases.
C. The heat transfer equals the enthalpy change.
D. The heat transfer is zero.*
33.
Which one of the following elements has the largest atomic radius?
A. Lithium
C. beryllium
B. Sodium*
D. magnesium
34.
A turbine is to operate at 300 rpm under a net head of 400 m. If cv = 0.98, what is
the velocity?
A. 68.82 m/s
C. 34.41 m/s
B. 86.82 m/s*
D. 173.64 m/s
35.
An object of mass 100 g is at rest. A net force of 2000 dyne is applied 10 sec. What
is the final velocity?
A. 125 cm/sec
C. 200 cm/sec*
B. 150 cm/sec
D. 250 cm/sec
36.
A tank contains oil sp. gr. = 0.80, gasoline sp. gr. = 0.90 and seawater sp. gr. =
1.03. If the depths of the liquids are 0.5, 0.8 m and 1 m for oil, gasoline and
seawater respectively. Find the pressure at a depth of 1.2 m.
A. 28.124 kPa
C. 16.04 kPa
B. 21.092 kPa
D. 10.104 kPa*
37.
The minimum size of service drop copper conductors allowed by the PEC is one of the
following. Which is this size?
A. 305 sq. mm
C. 2.0 sq. mm.
B. 5.5 sq. mm.
D. 8.0 sq. mm.*
38.
The density of air at vacuum of 40 kPa and -40 deg C is in kg/cu. m. Assume Patm = 100
kPa
A. 0.598
C. 0.897*
B. 0.638
D. 0.753
39.
Varignon’s theorem is used to determine the ___________.
A. Moment of inertia
C. Location of centroid*
B. Mass moment of inertia
D. Moment of area
40.
A piece of machinery costs $ 20,000 and has as estimated life of eight years and a
scrap value $2,000. What uniform annual amount must be set aside at the end of each of
the eight years for replacement of the interest rate is 4%?
A. $ 1,953*
C. $ 2,250
B. $ 2,174
D. $ 2,492
41.What is the pressure of 4.87 grams hydrogen that occupy 6.8 liters at 10 deg C?
A. 8.65 atm
C. 8.31 atm*
B. 9.64 atm
D. 9.84 atm
42.What is the frequency of oscillation of a body if its mass, m, is 0.015 kg and k is 0.5
N/m?
A. 0.51 Hz
C. 0.78 Hz
B. 0.66 Hz
D. 0.92 Hz*
43.A measure of how it emits radiant energy in comparison with a blackbody at the same
temperature.
A. absorptivity
C. emissitivity*
B. reflectivity
D. conductivity
44.A solid wooden cube, 30.0 cm on each edge, can be totally submerged in water if it is
pushed downward with a force of 54.0 N. What is the density of the wood?
A. 900 kg/cu.m
C. 700 kg/cu.m
B. 800 kg/cu.m*
D. 600 kg/cu.m
45.Find the magnitude of the resultant of two 10-lb forces applied at the same point when the
angle between them is 130 degrees.
A. 7.8 lbs
C. 19.8 lbs
B. 18.1 lbs
D. 8.5 lbs*
46. The shaft of a motor turns at a constant 3000 rpm. In 40 seconds it turns through
A. 2,000 rad
C. 12,000 rad
B. 6,283 rad
D. 12,566 rad*
47. A 2 lbm at 200 deg F iron (cρ = 0.1 BTU/lbm-deg F) are dropped into a gallon of 40 deg
F of water. What is the final temperature of the mixture?
A. 55.21 deg F
C. 38.92 deg F
B. 48.12 deg F
D. 43.74 deg F*
48. A rubber band has an unstretched length of 180 mm. If it is stretched around a pole
having a diameter of 60 mm, determine the average normal strain in the band.
A. 0.0427
C. 0.0263
B. 0.0236
D. 0.0472*
49. In a certain process, 500 calories of
time 100 joules of work are done. What
system?
A. 546.8 cal
B. 476.1 cal
heat are supplied to a system, and at the same
is the increase in the internal energy of the
C. 427.6 cal
D. 523.9 cal*
50. Convert 101101.11 (base 2) to the base 10 equivalent.
A. 42.25
C. 48.68
B. 45.75*
D. 52.35
51. An employee obtained a loan of P10,000 at a rate of 6% compounded annually in order to
build a house. How much must he pay monthly to amortize the loan within a period of 10
years?
A. P120.42
C. P105.75
B. P110.22*
D. P115.64
52. Convert the base 10 integer 432 to its base 16 equivalent.
A. 1B0*
C. 2A3
B. 1FC
D. 1420
53. Convert 110 deg F to deg C.
A. 43.33*
B. 42.22
C. 40.23
D. 46.32
54. At the end of each of the next ten years, a payment of $ 200 is due. At an interest
rate of 6%, what is the present worth of the payments?
A. $ 27
C. $ 1472*
B. $ 200
D. $ 2000
55.What is most nearly the resulting pressure when 400 g of air at 103.6 kPa and 93 deg C is
heated at constant volume to 427 deg C?
A. 918 kPa
C. 819 kPa
B. 198 kPa*
D. 189 kPa
56.What is the speed of light through a water whose index of refraction is 1.33?
A. 1.8 x 10^8 m/s
C. 2.51 x 10^8 m/s
B.
2.26 x 10^8 m/s*
D. 2.79 x 10^8 m/s
57.A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force of 250
kN. Determine the decrease in the lateral dimension due to this load. Consider E = 200 GPa
and μ = 0.3.
A. 0.0057 mm
C. 0.0065 mm
B. 0.0075 mm*
D. 0.0067 mm
58.Determine the maximum shearing stress in a 4-in-diameter solid shaft carrying a torque of
228,000 lb-in.
A. 18,000 lb/sq.in.*
C. 16,000 lb/sq.in.
B. 17,000 lb/sq.in.
D. 19,000 lb/sq.in.
59.A square steel bar is 50 mm on a side and 250 mm long. It is loaded by an axial tensile
force of 200 kN. If E = 200 GPa and μ = 0.3, determine the change of volume per unit
volume.
A. 0.0016
C. 0.00016*
B. 0.000016
D. 0.016
60.Calculate the mass of nitrogen at 150 K and 2 MPa contained in 0.2 cu.m.
A. 10.2 kg*
C. 6.23 kg
B. 8.98 kg
D. 2.13 kg
61.A pressure 500 kPa applied to 2 cu. m. of liquid results in a volume change of 0.004 cu. m.
The bilk modulus, in MPa is
A. 2.5
C. 250*
B. 25
D. 2500
62.A single grounding electrode is permitted when the resistance to ground does not exceed
A. 5 ohms
C. 15 ohms
B. 10 ohms
D. 25 ohms*
63.An object weighs 100N in air and 25 N when submerged in water. Its gravity is
A. 1.11
C. 1.33*
B. 1.22
D. 1.44
64.A steel cube is subject to a hydraulic pressure of 1.1 MPa. Because of this pressure the
volume decreases to give dilatation of -10-5. The young’s modulus of the material is 200
GPa. Determine the bulk modulus.
A. 190 GPa
C. 150 GPa
B. 200 GPa
D. 160 GPa
65.The most important element that controls the physical properties of steel is
A. Silicon
C. Tungsten
B. Manganese
D. Carbon*
66.A cantilever beam 10 ft long is subjected to a uniformly disturbed load of 1500 lb per ft
of length. The allowable working stress in either tension or compression is 20,000 psi. If
the cross-section is to be rectangular, determine the height is to be twice as great as the
width.
A. 4.62 in
C. 4.06 in
B. 9.24 in
D. 8.12 in
67.The work of a polytrophic (n=1.21) compression of air (cp/cv =1.4) in a system with moving
boundary from P1=15 psia, V1= 1.0cu. ft. to P2 = 150 psia, V2 = 0.15 cu. ft. is
A. 6862 ft-lb
C. 2700 ft-lb
B. 1080 ft-lb
D. 5150 ft-lb*
68.How much should you put into a 19% savings account in order to have P 10,000 in five years?
A. P 6,210.00*
C. P 7,209.00
B. P 7,000.00
D. P 8,200.00
69.Gross profit, sales less cost of goods sold, as a percentage of sales is called:
A. ROI ratio
C. gross margin
B. Profit margin*
D. price earning
70.______ is regarded as father of computers
A. Pascal
C. Charles Babbage*
B. John Napier
D. Abacus
71.At what angle above the horizontal must the sun be in order that sunlight reflected from
the surface of a calm body water shall be completely polarized?
A. 60 deg
C. 53 deg
B. 30 deg
D. 37 deg*
72.In electrochemistry, oxidation is a loss of _____
A. Ion
C. proton
B. Electron*
D. anode
73.How many moles of hydrogen atoms are present on 2.00 moles of ammonia?
A. 2
C. 6*
B. 3
D. 8
74.How long will it take to sink an open and empty vessel 4 m x 4 m x 2 m high, with a draft
of 1.6 m, when 85 mm Φ diameter hole at its bottom is opened? C = 0.75.
A. 135 sec
C. 311 sec
B. 268 sec
D. 220 sec
75.If a disturbance is parallel to the direction of travel of a wave, the wave is classified
as
A. Longitudinal*
C. transverse
B. Electromagnetic
D. torsional
76.If an amount invested five years ago has doubled, what is the annual interest rate?
A. 15% *
C. 10%
B. 12%
D. 6%
77.Write the correct formula for aluminum sulfate
A. Al3SO4
C. Al3(SO4)2
B. Al2SO4
D. Al2(SO4)3*
78.A man paid 10% down payment of P200,000 for a house and lot and agreed to pay the balance
on monthly installments for 5 years at an interest rate of 15% compounded monthly. What is
the monthly installment in pesos?
A. 44,528.34
C. 43,625.92
B. 42,281.87*
D. 45,825.62
79.Energy is added to a piston-cylindrical arrangement, and the piston is withdrawn in such a
way that the quantity PV remains constant. The initial pressure and volume are 200 kPa and
2 cu. m., respectively. If the final pressure is 100 kPa, calculate the work done by the
gas on the piston.
A. 277 kJ*
C. 399 kJ
B. 288 kJ
D. 322 kJ
80.Calculate the volume occupied by 0.151 mol of CL2 at 100 deg C and 73.7 kPa.
A. 3.56 L
C. 4.28 L
B. 6.35 L
D. 5.82 L*
81.Calculate
submarine
A. 4.62 x
B. 4.62 x
the force due to the pressure acting on the 1-m diameter horizontal hatch of a
submerge 600 m below surface.
10^6 N
C. 4.26 x 10^6 N
10^5 N
D. 426 x 10^5 N
82. The temperature of a body is 50 deg F. Find the temperature in K.
A. 10
C. 283
B. 263
D. 510
83. Determine the force necessary to accelerate a mass of 20 lbm, at a rate of 60 ft/sq. sec
vertically upward.
A. 37.3 lbf
C. 73.3 lbf
B. 57.3 lbf
D. 75.3 lbf
84. In thermodynamics our attention is focused on which form of energy?
A. Kinetic energy
C. Potential energy
B. Internal energy
D. Total energy
85.
Energy is added to piston-cylinder arrangement, and the piston is withdrawn in such
a way that the quantity PV remains constant. The initial pressure and volume are 200
kPa and 2 cu. m, respectively. If the final pressure is 100 kPa, calculate the work
done by the gas on the piston.
A. 428 kJ
C. 287 kJ
B. 482 kJ
D. 277 kJ
86.
The drive shaft in an automobile delivers 100 N-m of torque as it rotates at 3000
rpm. Calculate the horsepower delivered.
A. 46.2 hp
C. 42.1 hp
B. 84.6 hp
D. 86.4 hp
87.
A 0.75-hp motor acts for 8.0 s on an initially non-rotating wheel having a moment of
inertia 2.0 kg- sq.m. Find the angular speed developed in the wheel, assuming no
losses.
A. 67 rad/s
C. 89 rad/s
B. 76 rad/s
D. 98 rad/s
88.
The length of free conductors at outlets and switch point for splices and connection
of fixture and devices must be at least
A. 80 mm
C. 120 mm
B. 100 mm
D. 150 mm
89.
It is the process of determining the value or worth of a physical property for
specific reason.
A. Investment
C. economy
B. Valuation
D. depletion
90.
How high would the water rise in the pipes of a building if the water pressure gauge
show the pressure at the ground floor to be 270 kPa?
A. 28.9 m
C. 27.5 m
B. 29.8 m
D. 25.7 m
91.
An annuity where the payments are made at the beginning of each period.
A. Ordinary annuity
C. annuity due
B. Deferred annuity
D. perpetuity
92.
The air in the cylinder of an air compressor
Estimate the final temperature required if the
A. 37300 K
C. 1930
B. 33700 K
D. 1390
93.
What is the minimum diameter of a solid steel
than 3 deg in a 6-m length, when subjected to a
A. 0.500 m
C. 0.118
B. 0.125 m
D. 0.220
94.
Sec. 17(b) of art. III: Examination and Registration, Qualifications of Applicants
for Registered Electrical Engineer, states that an applicant is at least be ___ years
of age.
A. 21
C. 24
B. 23
D. 25
95.
The number 1000 base 2 is equivalent to decimal number ___.
A. 1000
C. 8
B. 16
D. 4
96.
A tank of volume 590 liters contains oxygen at 20 deg C and 5.0 atm pressure.
Calculate the mass of oxygen in the tank.
A. 3.9 kg
C. 2.6 kg
B. 9.3 kg
D. 6.2 kg
97.
A ball is thrown at a 30 degrees angle above the horizontal with a speed of 10
ft./s/ After 0.50 s the horizontal component of its velocity will be
A. 9 ft/s
C. 12 ft/s
B. 10 ft/s
D. 19 ft/s
is compressed from 100 kPa to 10 MPa.
air is initially at 100 deg C.
K
K
shaft that will not twist through more
torque of 12 kN-m?
m
m
98. The machine that is employed for converting the energy of flow in a pipeline into
mechanical work is called.
A. Turbine
C. nozzle
B. Pump
D. motor
99.
What is the decimal equivalent of binary number 101.1101?
A. 5.8031
C. 5.80221
B. 5.8513
D. 5.8125
100. The coefficient of static friction for steel on ice is 0.1.The force needed to set a
70-kg skater in motion is about
A. 0.1 N
C. 7 N
B. 0.7 N
D. 70 N
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