Which of these colours in the visible spectrum has the longest wavelength?
Răspuns
(A)
Red
2
The power of a lens in diopters is
Răspuns
(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?
Răspuns
(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.
Răspuns
(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
Răspuns
(D)
thermodynamic
6
According to the kinetic theory of gases, the pressure exerted by a gas on the walls equals.
Răspuns
(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?
Răspuns
(D)
It is longitudinal
8
The emf of a cell is the potential difference across its terminals when it is in
Răspuns
(C)
open circuit
9
The thermometric property of mercury is best on the change in
Răspuns
(B)
volume with temperature
10
Some of the features of the human eye that greatly help to refract light entering the eyes are
Răspuns
(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
Răspuns
(A)
no parallax error
12
The diagram above shows a magnetic field due to a
Răspuns
(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?
Răspuns
(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.
Răspuns
(B)
0.015
15
A 500W electric oven plugged into a 220 V source will consume an electric current of
Răspuns
(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?
Răspuns
(A)
1:4
17
The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.
Răspuns
(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.
Răspuns
(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?
Răspuns
(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\(^{-2}\)?
Răspuns
(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?
Răspuns
(B)
7kg
22
Which of the following has the least thermal conductivity?
Răspuns
(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\(^{-1}K^{-1}\)]
Răspuns
(D)
2.06 kg
24
Charge carriers in doped semiconductors are
Răspuns
(D)
electrons and holes
25
If the critical angle for a glass–air boundary is 45º, what is the refractive index of the glass?
Răspuns
(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?
Răspuns
(B)
400 m\(^3\)
27
The device that operates using the magnetic effect of electric current is
Răspuns
(C)
Electric bell
28
Calculate the decay constant of a radioactive isotope of half-life 138.5 s.
Răspuns
(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\(^{-1}\))
Răspuns
(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?
Răspuns
(B)
53.33 N
31
What form of energy is present in the food we eat?
Răspuns
(D)
Chemical
32
What magnitude of electric current can store 2.5 J of energy in a 3 H induction coil?
Răspuns
(A)
1.29 A
33
A machine has an efficiency of 80%. If the input work is 200J, the output work is?
Răspuns
(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?
Răspuns
(C)
0.25
35
Lining the walls of an auditorium with perforated materials reduces
Răspuns
(A)
reverberation
36
If an object sinks in water, it means that
Răspuns
(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?
Răspuns
(D)
316.28°C
38
The movement of particles in liquids and gases is referred to as
Răspuns
(C)
Brownian motion
39
What mass of silver is deposited during electrolysis when a current of 0.8 A flows for 25 minutes?
Răspuns
(D)
1.34g
40
The thermal capacity of a body depends on one of the following
Răspuns
(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\(^{-1}\))
Răspuns
(D)
4445Pa
42
The tangential force acting on an object that opposes it from sliding freely on the adjacent surface is called
Răspuns
(C)
Frictional force
43
The point where no magnetic effect is felt around a magnet is
Răspuns
(D)
Neutral point
44
If the specific gravity of a liquid is 0.76, calculate its density((\(\rho_w\) = 1000Kgm\(^{-3}\))
Răspuns
(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\(^{-1}\)
Răspuns
(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
Răspuns
(C)
905.7JK\(^{-1}\)
47
Which of the following electromagnetic spectra has the shortest wavelength?
Răspuns
(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\(^2\)]
Răspuns
(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
Răspuns
(D)
Latent heat of fusion.
50
Which of the following is better for measuring a very small resistance?
Răspuns
(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\(_{r.m.s}\)
Răspuns
(A)
5A
52
Calculate the depth of a swimming pool if the apparent depth is 10cm(refractive index of water is 1.33)
Răspuns
(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?
Răspuns
(D)
56.57T
54
The dimensional symbol of tension in a string is expressed as
Răspuns
(D)
M L T\(^{-2}\)
55
From the above circuit, calculate the impedance ((\(\pi\) = \(\frac{22}{7}\), f = 50Hz)
Răspuns
(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
Răspuns
(C)
100Pa
57
Standing waves are produced by
Răspuns
(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?
Răspuns
(C)
19.24N
59
From the diagram above, the sine of the angle of refraction in glass is
Răspuns
(B)
0.3
60
What happens to the speed of sound in air when the pressure increases at a constant temperature
Răspuns
(A)
Unchanged
61
The operation of a photovoltaic cell is possible by the action of
Răspuns
(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
Răspuns
(A)
less than 20cm
63
The resultant of the force shown above is
Răspuns
(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\(^2\)]
Răspuns
(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)
Răspuns
(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?
Răspuns
(D)
240m
67
Which of the following thermometer types best responds to a change in temperature
Răspuns
(B)
Resistance thermometer
68
A 25cm long pinhole camera produces a one-fifth of an object's size. Calculate the object distance
Răspuns
(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)
Răspuns
(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\(^9\)]
Răspuns
(B)
3.0Km
71
Using the oscillating simple pendulum above, the maximum kinetic energy is obtained at
Răspuns
(A)
Q
72
A collection of condensed suspended dust particles in the air constitute
Răspuns
(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?
Răspuns
(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\(^{-1}\)]
Răspuns
(B)
3.83cm\(^3\)
75
A short-sighted person's far point is 95cm. The defect can be corrected using
Răspuns
(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?
Răspuns
(C)
50.40Kwh
77
The commonly used materials for shielding or screening magnetism is
Răspuns
(C)
Soft iron
78
One of the following is not a radiation detector
Răspuns
(A)
Electrophorus
79
What is the electrolyte used in wet Leclanche cell
Răspuns
(C)
Ammonium chloride
80
In electromagnetic induction, the generated electricity is actually a voltage called
Răspuns
(A)
Induced emf
81
Which of the following is a basic Unit?
Răspuns
(D)
Ampere
82
The acceleration of the body given above ( upthrust = 10N)
Răspuns
(C)
7.5m/s\(^2\)
83
The distance between two successive trough points of a wave is
Răspuns
(B)
a wavelength
84
What colour has the lowest frequency in the spectrum of white light?
Răspuns
(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?
Răspuns
(A)
110
86
When capacitors are connected in series across a potential difference, there is a loss in their stored energy because:
Răspuns
(D)
decrease in the overall capacitance of the capacitors
87
The diagram above is a vector field. Determine the magnitude of the vector
Răspuns
(C)
2\(\sqrt{2}\)NC\(^{-1}\)
88
The focal length of the natural eye lens is variable due to the action of the
Răspuns
(B)
Ciliary muscle
89
An annular eclipse is formed when
Răspuns
(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
Răspuns
(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\(^{-2}\))
Răspuns
(B)
416.67N
92
A boat or airplane has a pointed front or head. This is to
Răspuns
(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
Răspuns
(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
Răspuns
(A)
40.0N
95
If the length of a simple pendulum is 120cm, calculate its frequency [\(\pi\) = \(\frac{22}{7}\) g = 10ms\(^{-2}\)]
Răspuns
(D)
0.5Hz
96
From the above graph, what is the distance covered in the last stage of the motion?
Răspuns
(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
Răspuns
(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
Răspuns
(A)
1.67
99
Water waves and light waves differ generally in their
Răspuns
(D)
medium of propagation
100
A method of demagnetization is
Răspuns
(C)
heating a magnetic bar red hot and allowed to cool e-w direction