The stress experienced by a wire of diameter \(\frac{\text{y}}{\pi}\)m loaded by a weight y\(^2\)N is
Відповідь
(C)
4\(\pi\)Nm\(^{-2}\)
2
Under which conditions is work done
Відповідь
(C)
A boy climbs onto a table
3
The mechanical advantage of the machine shown above
Відповідь
(C)
30.0
4
Rainbow is formed when sunlight undergoes
Відповідь
(C)
dispersion
5
Find the value of a capacitor with voltage 5V and 30C.
Відповідь
(B)
6f
6
When a bus is accelerating, it must be
Відповідь
(B)
changing its velocity
7
The friction due to air mass can be reduced by
Відповідь
(A)
streaming
8
Which of the following operates based on magnetic effect of electric current?
Відповідь
(C)
Dynamo
9
When a charged ebonite rod is brought near a charged glass rod, there will be
Відповідь
(A)
attraction
10
Pilots uses aneroid barometer to know the height above sea level because
Відповідь
(B)
Small and convenient
11
A light ray passing from air into water at an angle of 30º from the normal in air would
Відповідь
(D)
make an angle less than 30\(^0\) from the normal in water
12
A solid cube of aluminum is 1.5cm on each edge. The density of aluminum is 2700kgm\(^{-1}\). Find the mass of the cube.
Відповідь
(B)
9.1g
13
The value of R required to make the galvanometer measure voltage up to 40V in the diagram above
Відповідь
(B)
1990\(\Omega\)
14
5 X 10\(^{-3}\)kg of liquid at its boiling point is evaporated in 20s by the heat generated by a resistor of 2\(\Omega\) when a current of 10A is used. The specific latent heat of vaporization of the liquid is
Відповідь
(B)
8.0 x 10\(^5\)Jkg\(^{-1}\)
15
If the S.V.P of water vapour was 13.5mmHg at 33ºC and 7.3mmHg at 7ºC. Find the percentage relative of the air on a day when average air temperature was 33ºC and dew point was 7ºC.
Відповідь
(C)
54%
16
Electrolysis can be investigated using
Відповідь
(D)
Voltameter
17
A wheelbarrow inclined at 60º to the horizontal is pushed with a force of 150N. What is the horizontal component of the applied force
Відповідь
(B)
75N
18
In a solar panel, solar beam is concentrated by using
Відповідь
(A)
Concave mirror
19
A rectifier is a device that changes
Відповідь
(D)
A.C to D.C
20
The dimension of young's modulus,E is given by
Відповідь
(C)
ML\(^{-1}\)T\(^{-2}\)
21
The moon's acceleration due to gravity is \(\frac{1}{6}\) of the earth's value. The weight of a bowling ball on the moon would be
Відповідь
(B)
\(\frac{1}{6}\) of its weight on the earth
22
If a sheet of an insulating material is inserted between the plates of an air capacitor, the capacitance will
Відповідь
(C)
increase
23
288KJ is conducted across two opposite faces of a 3m cube of temperature gradient 90ºCm\(^{-1}\) in 7200s. Calculate the thermal conductivity.
Відповідь
(A)
4.9 x 10\(^{-2}\)Wm\(^{-1}\)k\(^{-1}\)
24
A sonometer's fundamental note is 50Hz, what is the new frequency when the tension is four times the original?
Відповідь
(B)
100Hz
25
Which of the following is not a part of model rocket?
Відповідь
(D)
Not recovery devices
26
A thick glass tumbler cracks when boiling water is poured into it because
Відповідь
(A)
The inside expands more rapidly than the outside
27
How much joules of heat are given out when a piece of iron, of mass 60g and specific heat capacity 460JKg\(^{-1}\)K\(^{-1}\), cools from 75ºC to 35ºC
Відповідь
(D)
1104J
28
The energy of light of frequency 2.0 x 10\(^{15}\)Hz is (h = 6.63 x 10\(^{-34}\)Js)
Відповідь
(B)
1.33 x 10\(^{-18}\)J
29
A mass of gas at 40mmHg is heated from 298k to 348k at constant volume. Cal the pressure exerted by the gas.
Відповідь
(B)
46.71mmHg
30
The distance between two successive crests of a water wave is 0.25m. If a particle on the surface of the water makes four complete vertical oscillations in one second. Calculate the speed of the wave.
Відповідь
(D)
1ms\(^{-1}\)
31
The thermometer whose thermometric property is change in volume with temperature is
Відповідь
(D)
Liquid-in-glass thermometer
32
In a series resonant circuit, the current flowing in the circuit is
Відповідь
(A)
maximum
33
If a body in linear motion changes from point P to Q, the motion is
Відповідь
(A)
Translational
34
Which of these gas laws is equivalent to workdone
Відповідь
(C)
Boyle's law
35
The process of adding impurities to a semiconductor material to increase its conductivity is
Відповідь
(C)
Doping
36
A load of 300N is to be lifted by a machine with a velocity ratio of 2 and an efficiency of 60%. What effort will be applied to lift the load?
Відповідь
(C)
250N
37
The average translational kinetic energy of gas molecules depends on
Відповідь
(A)
Temperature only
38
The fourth overtone of a closed pipes is 900Hz, its fundamental frequency is
Відповідь
(B)
100Hz
39
A cell of internal resistance of 2\(\Omega\) supplies current through a resistor, X if the efficiency of the cell is 75%, find the value of X.
Відповідь
(C)
6\(\Omega\)
40
In voltage measurement, the potentiometer is preferred to voltmeter because it
Відповідь
(B)
consumes negligible current
41
Which of the following is the best as shaving mirror?
Відповідь
(A)
Concave mirror
42
A refrigerator uses 150W. If it is kept on for 336 hours non-stop, what is the energy consumed in KWh?
Відповідь
(B)
50.40KWh
43
What is the inductance reactance of a coil of 7H when connected to a 50Hz a.c circuit?
Відповідь
(A)
2200\(\Omega\)
44
If a charge ion goes through a combined electric field E and magnetic field B, the resultant emergent velocity of the ion is
Відповідь
(A)
\(\frac{E}{B}\)
45
In electrolysis, when same quantity of electricity is passed through different electrolytes, mass of substances deposited is proportional to
Відповідь
(B)
Chemical equivalent
46
If the rate of evaporation is y, and the rate of condensation is x, then, a vapour is saturated when
Відповідь
(C)
x = y
47
The degree of precision of a vernier caliper is
Відповідь
(B)
0.01cm
48
According to kinetic theory of gases, the pressure exerted by the gas on the wall is equal
Відповідь
(B)
rate of change of momentum imparted by the walls per second per unit area
49
The property by which a material returns to its original shape after the removal of force is called
Відповідь
(A)
Elasticity
50
The energy in a moving car is an example of
Відповідь
(D)
Kinetic energy
51
A hydrometer of mass y kg and volume 2y x 10\(^{-5}\)m\(^3\) floats in a fluid with 20% of its volume above the fluid, what is the density of the fluid?
Відповідь
(D)
6.25 x 10\(^4\)kgm\(^{-3}\)
52
Convert 60ºC to degree Fahrenheit
Відповідь
(D)
140.00\(^0\)F
53
What is the least possible error encountered when taking measurement with a metre rule?
Відповідь
(B)
0.5mm
54
At absolute zero temperature, the average velocity of the molecules
Відповідь
(C)
Is zero
55
Calculate the quantity of heat for copper rod whose thermal capacity is 400Jk\(^{-1}\) for a temperature change of 60ºC to 80ºC
Відповідь
(D)
8KJ
56
When a cell of e.m.f 3.06V is connected, the balance of a potentiometer is 75cm, Calculate the new balance of a cell of e.m.f 2.295V
Відповідь
(A)
56.26cm
57
A body is whirled in a horizontal circle at the rate of 800 revolutions per minute. Determine the angular velocity
Відповідь
(D)
26.7\(\pi\)rads\(^{-1}\)
58
If the velocity ratio of a machine is 4, what does it mean?
Відповідь
(B)
Distance moved by effort is 4 times greater than the distance moved by load.
59
Which of the following materials has a very large energy gap band?
Відповідь
(B)
Insulator
60
A red shirt under a red light appears pale because red
Відповідь
(D)
absorbs other colours and reflects red
61
An electron falls from an energy level of -5.44eV to another energy level, E. If the emitted photon is of wavelength 5.68 x 10\(^{-6}\)m, calculate the energy change. [ Plank's constant = 6.63 x 10\(^{-34}\)Js, emitted radiation speed = 3.0 x 10\(^8\)ms\(^{-1}\)]
Відповідь
(C)
3.49 x 10\(^{-20}\)J
62
Using the diagram above, the effective force pushing it forward at an angle 60º is
Відповідь
(A)
25.00N
63
The gravitational force between two objects is 10N, what is the new value of the force if the distance between them is halved?
Відповідь
(C)
40N
64
An ideal transformer has
Відповідь
(B)
No flux leakage
65
Calculate the depth of a swimming pool if the apparent depth is 10cm. ( Refractive index of water = 1.33 )
Відповідь
(C)
13.3cm
66
What will be the weight of a man of mass 60kg standing in a lift if the lift is descending vertically at 3ms\(^2\)?
Відповідь
(D)
420N
67
The gravitational force between two objects masses 10\(^{24}\)kg and 10\(^{27}\)kg is 6.67N. Calculate the distance between them [ G = 6.6 x 10\(^{-11}\)Nm\(^2\)kg\(^{-2}\) ]
Відповідь
(A)
1.0 x 10\(^{20}\)m
68
The tangential force acting on an object that opposes it from sliding freely on the adjacent surface is called
Відповідь
(B)
Friction force
69
Two tuning forks of frequencies 6Hz and 4Hz respectively are sounded together. The beat frequency is
Відповідь
(A)
2Hz
70
The capacitance of a capacitor, C, is inversely proportional to
Відповідь
(C)
distance between plate
71
The value of R in the above circuit to make the galvanometer measure 2A is
Відповідь
(B)
0.256\(\Omega\)
72
An object is placed 25cm in front of a convex mirror has its image formed 5cm behind the mirror. what is the focal length of the convex mirror
Відповідь
(B)
6.25cm
73
In a Hare's apparatus, the height of water and a liquid X are 0.3m and 0.5m respectively. The relative density of x is?
Відповідь
(B)
0.6
74
The quantity of heat required to melt ice of 0.2 kg whose specific latent heat is 3.4 x 10\(^5\)J/Kg is
Відповідь
(A)
6.8 x 10\(^4\)J
75
I It wets glass
II It needs to be coloured
III It has a low density
Water is not suitable for use as a thermometric liquid because
Відповідь
(C)
I, II, and III only
76
The power of a convex lens of focal length 20cm is
Відповідь
(C)
5.00D
77
The charge of magnitude 1.6 x 10 \(^{-19}\)C is placed in a uniform electric field of intensity 1200Vm\(^{-1}\). Calculate its acceleration, if the mass of the charge is 9.1 x 10\(^{-31}\)kg
Відповідь
(A)
2.11 x 10\(^{14}\)ms\(^{-2}\)
78
Calculate the power of an object which moves through a distance of 500cm in 1s on a frictionless surface by a horizontal force of 50N
Відповідь
(D)
250W
79
The defect of the eye lens which occurs when the ciliary muscles are weak is
Відповідь
(C)
Presbyopia
80
The energy stored in the above capacitor is
Відповідь
(A)
2.25J
81
An effort of 40N is applied on a machine to lift a mass of 60kg. Determine the mechanical advantage of the machine [ g = 10ms\(^2\) ]
Відповідь
(D)
15
82
The land and sea breeze is attributed to
Відповідь
(D)
convection
83
A practical application of total internal reflection is found in
Відповідь
(D)
fiber optics
84
Calculate the magnetic force on an electron in a magnetic field of flux density 10T, with a velocity of 3 x 10\(^7\)m/s at 60º to the magnetic field (e = 1.6 x 10\(^{-19}\)C)
Відповідь
(C)
4.16 x 10\(^{-11}\)N
85
Calculate the upthrust on a spherical ball of volume 4.2 x 10\(^{-4}\)m\(^{3}\) when totally immersed in a liquid of density 1028kgm\(^{-3}\)
Відповідь
(B)
4.3N
86
At a pressure of 10\(^5\)Nm\(^{-2}\), a gas has a volume of 20m\(^3\). Calculate the volume at 4 x 10\(^5\)Nm\(^{-2}\) at constant temperature.
Відповідь
(D)
5m\(^3\)
87
A particular household utilizes three electrical appliances for six hours daily if the appliances are rated 80W, 100W, and 120W respectively. Calculate the electrical bills paid monthly if an average month is 31 days. [1kwh = #24.08k]
Відповідь
(C)
₦ 1343.66k
88
A body is pulled on a horizontal surface with a rope inclined at 30º to the vertical. If the effective force pulling the body along the horizontal surface is 15N, calculate the tension on the rope.
Відповідь
(A)
30N
89
Newton's law of cooling is valid only for a
Відповідь
(A)
small temperature range
90
When thermal energy in a solid is increased, the change in state is called
Відповідь
(A)
melting
91
I clear II sharp III poor IV dark
Which of the above happens when the hole of a pinhole camera is diminished?
Відповідь
(B)
II only
92
A blacksmith heated a metal whose cubic expansivity is 3.9 x 10\(^{-6}\)K\(^{-1}\). Calculate the area expansivity.
Відповідь
(B)
2.6 x 10\(^{-6}\)K\(^{-1}\).
93
The unit of impedance is
Відповідь
(A)
\(\Omega\)
94
If the displacement of a car is proportional to the square of time, then the car is moving with
Відповідь
(A)
Uniform acceleration
95
The equivalent capacitance of the capacitors in the circuit above
Відповідь
(A)
\(\frac{5}{2}\)C
96
Using the diagram above, calculate the relative density of x, if the density of methanol is 800kgm\(^{-3}\)
Відповідь
(B)
0.5
97
The force of attraction between molecules of the same substance is
Відповідь
(A)
cohesion
98
If the pressure on an enclosed gas is doubled and its temperature rises from 27ºC to 127ºC, then its volume will
Відповідь
(D)
decrease by \(\frac{1}{3^{rd}}\)
99
The simple form of the lead acid accumulator often has a negative pole of
Відповідь
(D)
lead plate
100
A monochromatic light is one that
Відповідь
(C)
has one wavelength
101
Bifocal lens is used to correct the eye defect of
Відповідь
(D)
presbyopia
102
A force of 10N extends a spring of natural length 1m by 0.02m, calculate the length of the spring when the applied force is 40N.
Відповідь
(C)
1.08m
103
Infra-red thermometers work by detecting the
Відповідь
(A)
radiation from the body and converting it to temperature
104
The efficiency of a cell with internal resistance of 2\(\Omega\) supply current to a 6\(\Omega\) resistor is
Відповідь
(D)
75%
105
Which of the following measuring instruments operates based on the heating effect of electric current?
Відповідь
(B)
hot wire ammeter
106
What is the colour of red rose under a blue light?
Відповідь
(D)
Black
107
Calculate the value of electric field intensity due to a charge of 4μC if the force due to the charge is 8N
Відповідь
(A)
2.0 x 10\(^6\)NC\(^{-1}\)
108
An accumulator is 90% efficient. If it gives out 2700J of energy while discharging, how much energy does it take in?
Відповідь
(B)
3000J
109
Two capacitors of 0.0003μF and 0.0006μF are connected in series, find their combined capacitance.
Відповідь
(B)
0.0002μF
110
Two points on a velocity-time graph have coordinates (2s, 5m/s) and (4s, 15m/s). Calculate the mean acceleration
Відповідь
(A)
5.0ms\(^2\)
111
An air force jet flying with a speed of 335m/s went past an anti-aircraft gun. How far is the aircraft 5s later when the gun was fired?
Відповідь
(B)
1675m
112
In the diagram above, the galvanometer is converted to
Відповідь
(B)
Ammeter
113
The diaphragm in the camera is similar to what part of the eyes?
Відповідь
(D)
Iris
114
The device for measuring the angle of dip is
Відповідь
(A)
Dip circle
115
The velocity ratio of an inclined plane at 60º to the horizontal is
Відповідь
(B)
1.155
116
The bursting of water pipes during very cold weather, when the water in the pipes form ice could be attributed to
Відповідь
(B)
expansion of water on freezing
117
One of these is not the use of an electroscope
Відповідь
(B)
measuring ionization current in air
118
As per Faraday's laws of electromagnetic induction, an e.m.f is induced in a conductor whenever
