The stress experienced by a wire of diameter \(\frac{\text{y}}{\pi}\)m loaded by a weight y\(^2\)N is
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(C)
4\(\pi\)Nm\(^{-2}\)
2
Under which conditions is work done
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(C)
A boy climbs onto a table
3
The mechanical advantage of the machine shown above
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(C)
30.0
4
Rainbow is formed when sunlight undergoes
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(C)
dispersion
5
Find the value of a capacitor with voltage 5V and 30C.
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(B)
6f
6
When a bus is accelerating, it must be
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(B)
changing its velocity
7
The friction due to air mass can be reduced by
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(A)
streaming
8
Which of the following operates based on magnetic effect of electric current?
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(C)
Dynamo
9
When a charged ebonite rod is brought near a charged glass rod, there will be
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(A)
attraction
10
Pilots uses aneroid barometer to know the height above sea level because
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(B)
Small and convenient
11
A light ray passing from air into water at an angle of 30º from the normal in air would
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(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.
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(B)
9.1g
13
The value of R required to make the galvanometer measure voltage up to 40V in the diagram above
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(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
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(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.
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(C)
54%
16
Electrolysis can be investigated using
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(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
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(B)
75N
18
In a solar panel, solar beam is concentrated by using
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(A)
Concave mirror
19
A rectifier is a device that changes
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(D)
A.C to D.C
20
The dimension of young's modulus,E is given by
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(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
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(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
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(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.
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(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?
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(B)
100Hz
25
Which of the following is not a part of model rocket?
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(D)
Not recovery devices
26
A thick glass tumbler cracks when boiling water is poured into it because
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(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
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(D)
1104J
28
The energy of light of frequency 2.0 x 10\(^{15}\)Hz is (h = 6.63 x 10\(^{-34}\)Js)
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(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.
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(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.
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(D)
1ms\(^{-1}\)
31
The thermometer whose thermometric property is change in volume with temperature is
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(D)
Liquid-in-glass thermometer
32
In a series resonant circuit, the current flowing in the circuit is
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(A)
maximum
33
If a body in linear motion changes from point P to Q, the motion is
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(A)
Translational
34
Which of these gas laws is equivalent to workdone
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(C)
Boyle's law
35
The process of adding impurities to a semiconductor material to increase its conductivity is
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(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?
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(C)
250N
37
The average translational kinetic energy of gas molecules depends on
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(A)
Temperature only
38
The fourth overtone of a closed pipes is 900Hz, its fundamental frequency is
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(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.
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(C)
6\(\Omega\)
40
In voltage measurement, the potentiometer is preferred to voltmeter because it
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(B)
consumes negligible current
41
Which of the following is the best as shaving mirror?
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(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?
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(B)
50.40KWh
43
What is the inductance reactance of a coil of 7H when connected to a 50Hz a.c circuit?
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(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
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(A)
\(\frac{E}{B}\)
45
In electrolysis, when same quantity of electricity is passed through different electrolytes, mass of substances deposited is proportional to
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(B)
Chemical equivalent
46
If the rate of evaporation is y, and the rate of condensation is x, then, a vapour is saturated when
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(C)
x = y
47
The degree of precision of a vernier caliper is
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(B)
0.01cm
48
According to kinetic theory of gases, the pressure exerted by the gas on the wall is equal
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(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
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(A)
Elasticity
50
The energy in a moving car is an example of
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(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?
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(D)
6.25 x 10\(^4\)kgm\(^{-3}\)
52
Convert 60ºC to degree Fahrenheit
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(D)
140.00\(^0\)F
53
What is the least possible error encountered when taking measurement with a metre rule?
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(B)
0.5mm
54
At absolute zero temperature, the average velocity of the molecules
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(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
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(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
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(A)
56.26cm
57
A body is whirled in a horizontal circle at the rate of 800 revolutions per minute. Determine the angular velocity
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(D)
26.7\(\pi\)rads\(^{-1}\)
58
If the velocity ratio of a machine is 4, what does it mean?
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(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?
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(B)
Insulator
60
A red shirt under a red light appears pale because red
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(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\(^{-1}\)]
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(C)
3.49 x 10\(^{-20}\)J
62
Using the diagram above, the effective force pushing it forward at an angle 60º is
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(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?
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(C)
40N
64
An ideal transformer has
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(B)
No flux leakage
65
Calculate the depth of a swimming pool if the apparent depth is 10cm. ( Refractive index of water = 1.33 )
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(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\(^2\)?
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(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\(^{-2}\) ]
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(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
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(B)
Friction force
69
Two tuning forks of frequencies 6Hz and 4Hz respectively are sounded together. The beat frequency is
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(A)
2Hz
70
The capacitance of a capacitor, C, is inversely proportional to
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(C)
distance between plate
71
The value of R in the above circuit to make the galvanometer measure 2A is
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(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
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(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?
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(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
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(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
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(C)
I, II, and III only
76
The power of a convex lens of focal length 20cm is
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(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
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(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
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(D)
250W
79
The defect of the eye lens which occurs when the ciliary muscles are weak is
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(C)
Presbyopia
80
The energy stored in the above capacitor is
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(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\(^2\) ]
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(D)
15
82
The land and sea breeze is attributed to
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(D)
convection
83
A practical application of total internal reflection is found in
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(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)
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(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\(^{-3}\)
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(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.
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(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]
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(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.
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(A)
30N
89
Newton's law of cooling is valid only for a
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(A)
small temperature range
90
When thermal energy in a solid is increased, the change in state is called
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(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?
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(B)
II only
92
A blacksmith heated a metal whose cubic expansivity is 3.9 x 10\(^{-6}\)K\(^{-1}\). Calculate the area expansivity.
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(B)
2.6 x 10\(^{-6}\)K\(^{-1}\).
93
The unit of impedance is
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(A)
\(\Omega\)
94
If the displacement of a car is proportional to the square of time, then the car is moving with
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(A)
Uniform acceleration
95
The equivalent capacitance of the capacitors in the circuit above
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(A)
\(\frac{5}{2}\)C
96
Using the diagram above, calculate the relative density of x, if the density of methanol is 800kgm\(^{-3}\)
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(B)
0.5
97
The force of attraction between molecules of the same substance is
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(A)
cohesion
98
If the pressure on an enclosed gas is doubled and its temperature rises from 27ºC to 127ºC, then its volume will
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(D)
decrease by \(\frac{1}{3^{rd}}\)
99
The simple form of the lead acid accumulator often has a negative pole of
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(D)
lead plate
100
A monochromatic light is one that
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(C)
has one wavelength
101
Bifocal lens is used to correct the eye defect of
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(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.
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(C)
1.08m
103
Infra-red thermometers work by detecting the
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(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
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(D)
75%
105
Which of the following measuring instruments operates based on the heating effect of electric current?
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(B)
hot wire ammeter
106
What is the colour of red rose under a blue light?
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(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
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(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?
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(B)
3000J
109
Two capacitors of 0.0003μF and 0.0006μF are connected in series, find their combined capacitance.
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(B)
0.0002μF
110
Two points on a velocity-time graph have coordinates (2s, 5m/s) and (4s, 15m/s). Calculate the mean acceleration
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(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?
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(B)
1675m
112
In the diagram above, the galvanometer is converted to
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(B)
Ammeter
113
The diaphragm in the camera is similar to what part of the eyes?
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(D)
Iris
114
The device for measuring the angle of dip is
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(A)
Dip circle
115
The velocity ratio of an inclined plane at 60º to the horizontal is
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(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
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(B)
expansion of water on freezing
117
One of these is not the use of an electroscope
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(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
