Which of these colours in the visible spectrum has the longest wavelength?
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(A)
Red
2
The power of a lens in diopters is
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(B)
\(\frac{1}{\text{f}}\)
3
A man moves 6.0m East and then 10.0m N30ºE. How far is he from his starting point?
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(C)
14.0m
4
The density of water is 1g/cm\(^3\) while that of ice is 0.9g/cm\(^3\). Calculate the change in volume when 90g of ice is completely melted.
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(D)
10cm\(^3\)
5
The graphical representation of the pressure law is always a straight line passing through the origin, only if the temperature scale is
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(D)
thermodynamic
6
According to the kinetic theory of gases, the pressure exerted by a gas on the walls equals.
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(D)
Rate of change of momentum imparted to the walls per second per unit area.
7
Which of the following is not true about a wave in a plucked string?
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(D)
It is longitudinal
8
The emf of a cell is the potential difference across its terminals when it is in
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(C)
open circuit
9
The thermometric property of mercury is best on the change in
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(B)
volume with temperature
10
Some of the features of the human eye that greatly help to refract light entering the eyes are
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(A)
cornea and lens
11
When both the object and its image move together in the same direction relative to the observer, then there is
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(A)
no parallax error
12
The diagram above shows a magnetic field due to a
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(C)
current-carrying straight conductor
13
I. The colour of light depends on its frequency II. When white light is dispersed by a triangular prism, yellow is deviated more than green III. Rainbows are formed when rains fall heavily. Which of the above statements is/are correct about dispersion and colours?
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(B)
I only
14
A Force 18 N pulls a 40 kg mass on a horizontal floor at 0.3 ms\(^{-2}\). Find the coefficient of friction.
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(B)
0.015
15
A 500W electric oven plugged into a 220 V source will consume an electric current of
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(B)
2.27A
16
A hydraulic press consists of two cylinders of cross-sectional radius r\(_1\) and r\(_2\). If a force of 200N applied to the smaller piston (r\(_1\)), causes a force of 3200N to be transmitted onto the larger piston (r\(_2\)). The ratio r\(_1\): r\(_2\) is?
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(A)
1:4
17
The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.
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(B)
5N
18
The volume of a 1 cm\(^3\) metal ball increases by 0.0018 cm\(^3\) when heated through temperature θ. If the linear expansivity of the ball is 2.0 x 10\(^{-5} K^{-1}\), find θ.
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(C)
30°C
19
For a gas, which pair of variables is inversely proportional to each other (provided other conditions are constant), where P = pressure, T= temperature, V= volume, and n= number of molecules?
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(B)
P, V
20
A boy uses a single string pulley system to lift a mass of 20kg moving with a velocity of 5ms\(^{-1}\). What is the power developed by the boy if g = 10ms\(^{-2}\)?
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(B)
1000W
21
Without considering the containing vessel, what mass of boiled water can raise the temperature of 8 kg of water from 25°C to 60°C when mixed in a heat-proof container?
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(B)
7kg
22
Which of the following has the least thermal conductivity?
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(A)
air
23
5400kJ of heat energy was lost when some amount of steam condensed to water for drinking purposes at 15º C. What is the quantity of water collected? [L\(_f \) = 2.26 × 10\(^6\) Jkg\(^{-1}\), c\(_w\) = 4200 Jkg\(^{-1}K^{-1}\)]
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(D)
2.06 kg
24
Charge carriers in doped semiconductors are
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(D)
electrons and holes
25
If the critical angle for a glass–air boundary is 45º, what is the refractive index of the glass?
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(A)
\(\sqrt{2}\)
26
The volume of a fixed mass of gas at 0º C is 200 m\(^3\). What is its volume at 273º C at constant pressure?
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(B)
400 m\(^3\)
27
The device that operates using the magnetic effect of electric current is
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(C)
Electric bell
28
Calculate the decay constant of a radioactive isotope of half-life 138.5 s.
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(A)
5.0 × 10\(^{-3}\) s\(^{-1}\)
29
How long will it take to heat 4 kg of water from 30ºC to 65ºC using an electric kettle taking 5 A from a 240 V supply?
(Specific heat capacity of water = 4200 J kg\(^{-1}\) K\(^{-1}\))
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(C)
490 s
30
The figure shows a uniform metre rule of weight 100 N balanced by a knife edge at the 10 cm mark and a cord attached at the 85 cm mark. What is the tension in the string?
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(B)
53.33 N
31
What form of energy is present in the food we eat?
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(D)
Chemical
32
What magnitude of electric current can store 2.5 J of energy in a 3 H induction coil?
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(A)
1.29 A
33
A machine has an efficiency of 80%. If the input work is 200J, the output work is?
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(B)
160J
34
A wooden block of relative density 0.4 floats in a liquid of density 1600 kg m\(^{-3}\). What fraction of its volume is immersed?
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(C)
0.25
35
Lining the walls of an auditorium with perforated materials reduces
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(A)
reverberation
36
If an object sinks in water, it means that
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(A)
Its density is greater than that of water
37
A well-lagged thin metal rod of length 0.2 m has a temperature gradient of 416 K m\(^{-1}\). If one end is at 233º C, what is the temperature at the other end?
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(D)
316.28°C
38
The movement of particles in liquids and gases is referred to as
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(C)
Brownian motion
39
What mass of silver is deposited during electrolysis when a current of 0.8 A flows for 25 minutes?
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(D)
1.34g
40
The thermal capacity of a body depends on one of the following
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(C)
Nature and mass
41
What is the pressure exerted by 4.5m\(^3\) of gas at 17ºC in a cylinder if the number of moles is 8.3 moles? (R = 8.31 JK\(^{-1}\)mol\(^{-1}\))
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(D)
4445Pa
42
The tangential force acting on an object that opposes it from sliding freely on the adjacent surface is called
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(C)
Frictional force
43
The point where no magnetic effect is felt around a magnet is
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(D)
Neutral point
44
If the specific gravity of a liquid is 0.76, calculate its density((\(\rho_w\) = 1000Kgm\(^{-3}\))
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(A)
760Kgm\(^{-3}\)
45
Copper of 0.2g and silver of 1.2g are deposited when current is passed through copper and silver voltameter. Calculate the electrochemical equivalent, Z of silver if that of copper is 0.00028gC\(^{-1}\)
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(A)
1.68 x 10\(^{-3}\)gC\(^{-1}\)
46
Calculate the heat capacity of a material that absorbs 48KJ of heat at a differential temperature of 53ºC
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(C)
905.7JK\(^{-1}\)
47
Which of the following electromagnetic spectra has the shortest wavelength?
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(B)
X - rays
48
A wire of radius 0.3cm is used to lift a block of 1.5kg. Calculate the stress introduced into the wire [ take g = 10m/s\(^2\)]
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(C)
53 x 10\(^4\)Nm\(^{-2}\)
49
The quantity of heat required to convert 5kg of ice at its melting point to water without a change of temperature is
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(D)
Latent heat of fusion.
50
Which of the following is better for measuring a very small resistance?
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(B)
Wheatstone bridge
51
In an A.C circuit, the instantaneous current is 7A. What is the root mean square(r.m.s) value of the current I\(_{r.m.s}\)
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(A)
5A
52
Calculate the depth of a swimming pool if the apparent depth is 10cm(refractive index of water is 1.33)
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(C)
13.3cm
53
A 5 \(\mu\) positively charged particle is moving at 45º to the direction of magnetic field with 3 x 10\(^4\)m/s speed. If it experiences a force of 6N, what is the value of the flux density of the field?
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(D)
56.57T
54
The dimensional symbol of tension in a string is expressed as
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(D)
M L T\(^{-2}\)
55
From the above circuit, calculate the impedance ((\(\pi\) = \(\frac{22}{7}\), f = 50Hz)
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(B)
163.5\(\Omega\)
56
What pressure would a 5000N weight of water exert at the bottom of a reservoir containing it if its length and breadth are 10m and 5m, respectively
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(C)
100Pa
57
Standing waves are produced by
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(D)
waves that reflect off a boundary and interfere with themselves
58
From the above figure, a uniform meter rule is suspended by two cords from a height. Calculate T?
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(C)
19.24N
59
From the diagram above, the sine of the angle of refraction in glass is
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(B)
0.3
60
What happens to the speed of sound in air when the pressure increases at a constant temperature
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(A)
Unchanged
61
The operation of a photovoltaic cell is possible by the action of
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(A)
Semi-conductor
62
A concave mirror of focal length 20cm produces an erect image that is four times the object, the object distance from the mirror is
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(A)
less than 20cm
63
The resultant of the force shown above is
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(B)
5.00N
64
A circular parallel plate capacitor with radius 6cm is separated by 0.12cm. Calculate the capacitance of the capacitor [\(\pi\) = 3.142, ε\(_0\) = 8.85 x 10\(^{-12}\)Nm\(^2\)C\(^2\)]
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(C)
8.3 x 10\(^{-11}\)F
65
Calculate the specific heat capacity of a metal rod of mass 0.025kg whose temperature was raised by 15ºC when 1000J of heat energy was added to the rod(assuming the heat loss to the surrounding is negligible)
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(D)
2666.7JKg\(^{-1}\)K\(^{-1}\)
66
The speed of sound in air is 60 m/s. How far from the centre of a storm is an observer who hears a thunder clap 4s after the flash of the lightning?
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(D)
240m
67
Which of the following thermometer types best responds to a change in temperature
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(B)
Resistance thermometer
68
A 25cm long pinhole camera produces a one-fifth of an object's size. Calculate the object distance
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(D)
1.25m
69
What is the mass of a particle with speed 2.7 x 10\(^8\)m/s and wavelength 4.0 x 10\(^{-7}\)mm? (h = 6.63 x 10\(^{-34}\)Js)
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(B)
6.1 x x 10\(^{-31}\)Kg
70
At what distance from a 1.2 x 10\(^{-7}\)C point charge will the electric field intensity be equal to 4.8 x 10\(^{-4}\)NC\(^{-1}\) [ Take \(\frac{1}{4\pi ε_0}\) = 9.0 x 10\(^9\)]
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(B)
3.0Km
71
Using the oscillating simple pendulum above, the maximum kinetic energy is obtained at
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(A)
Q
72
A collection of condensed suspended dust particles in the air constitute
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(B)
fog
73
A body is moving initially at 4m/s. If it's impulse after accelerating at 5m/s\(^2\) for 2s is 60Kgms\(^{-1}\). What is its mass?
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(C)
6Kg
74
A bore made in an aluminium block at 34ºC is 3.48cm\(^3\). What is the new bore when the temperature was raised to 340ºC [α\(_a\) = 24 x 10\(^{-6}\)K\(^{-1}\)]
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(B)
3.83cm\(^3\)
75
A short-sighted person's far point is 95cm. The defect can be corrected using
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(C)
Diverging lens of focal length 95cm
76
A refrigerator uses 150W. If it is kept on for 336 hours nonstop. What is the energy consumed in Kwh?
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(C)
50.40Kwh
77
The commonly used materials for shielding or screening magnetism is
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(C)
Soft iron
78
One of the following is not a radiation detector
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(A)
Electrophorus
79
What is the electrolyte used in wet Leclanche cell
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(C)
Ammonium chloride
80
In electromagnetic induction, the generated electricity is actually a voltage called
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(A)
Induced emf
81
Which of the following is a basic Unit?
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(D)
Ampere
82
The acceleration of the body given above ( upthrust = 10N)
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(C)
7.5m/s\(^2\)
83
The distance between two successive trough points of a wave is
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(B)
a wavelength
84
What colour has the lowest frequency in the spectrum of white light?
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(A)
Red
85
If 10 objects, tinsels are placed between the mirror of a Kaleidoscope with an inclination of 30º, how many images are formed?
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(A)
110
86
When capacitors are connected in series across a potential difference, there is a loss in their stored energy because:
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(D)
decrease in the overall capacitance of the capacitors
87
The diagram above is a vector field. Determine the magnitude of the vector
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(C)
2\(\sqrt{2}\)NC\(^{-1}\)
88
The focal length of the natural eye lens is variable due to the action of the
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(B)
Ciliary muscle
89
An annular eclipse is formed when
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(A)
The sun, moon, and earth comes in straight line
90
If a positively charged rod is brought close to the cap in the diagram above, the divergence
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(B)
Increases
91
If the weight of an object on the Earth's surface is 2.5 x 10\(^3\)N, what is its weight on the moon's surface if the gravitational force of the moon is one-sixth of the Earth's(g = 10m/s\(^{-2}\))
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(B)
416.67N
92
A boat or airplane has a pointed front or head. This is to
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(A)
Reduce the friction of fluid
93
A gas is cooled at a constant pressure from 57ºC was observed to shrink one-fifth (1\5) of its original volume of 2.00cm\(^3\). Find its new temperature
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(B)
-207\(^0\)C
94
The gravitational force between two masses, P and Q, is 10N, find the new value of the force if both masses are doubled
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(A)
40.0N
95
If the length of a simple pendulum is 120cm, calculate its frequency [\(\pi\) = \(\frac{22}{7}\) g = 10ms\(^{-2}\)]
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(D)
0.5Hz
96
From the above graph, what is the distance covered in the last stage of the motion?
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(B)
28m
97
Assuming E\(_1\), E\(_2\), and E\(_3\), are equal, then the total e.m.f of the arrangement will be given by
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(D)
E = \(E_1\) = \(E_2\) = \(E_3\)
98
Given that SQ = 10cm and SR = 6cm, the refractive index of the block of glass shown in the above figure is
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(A)
1.67
99
Water waves and light waves differ generally in their
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(D)
medium of propagation
100
A method of demagnetization is
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(C)
heating a magnetic bar red hot and allowed to cool e-w direction
