The diagram above illustrates three forces T\(_1\), T\(_2\) and 100N in equilibrium. Determine the magnitude of T\(_1\).
Answer
(A)
100 tan 30o
2
An iron rod is moved from the earth to the moon. Which of the following properties of the rod would remain unchanged? i. mass ii. weight iii. relative density
Answer
(D)
i and iii only
3
A uniform cylindrical hydrometer of mass 20g and cross sectional area 0.54cm2 floats upright in a liquid. If 25cm of its length is submerged, calculate the relative density of the liquid. (Density of water = 1 gcm-3)
Answer
(B)
1.48
4
The apparent weight of a body wholly immersed in water is 32N and its weight in air is 96N. Calculate the volume of the body. (Density of water = 1000kgm-3, g = 10ms\(^{-2}\))
Answer
(B)
6.4 x 10-3m3
5
A wooden block of mass 1.6kg rests on a rough horizontal surface if the limiting friction force between the block and the surface is 8N. Calculate the coefficient of friction. (g = 10ms-2)
Answer
(B)
0.5
6
A ball bearing is gently released from rest and allowed to fall through a viscous fluid. Which of the following statements about the motion is correct?
Answer
(A)
its acceleration decreases before terminal velocity is attained
7
The driver of a car moving with uniform speed of 40ms-1 observes a truck approaching from the opposite direction with a speed of 20ms-1. Calculate the speed of the car relative to that of the truck
Answer
(D)
60.0ms-1
8
A bus travelling at 15ms\(^{-1}\) accelerates uniformly at 4ms\(^{-2}\), what is the distance covered in 10s?
Answer
(C)
350m
9
A uniform metre rule of mass 90g is provided at the 40cm mark. If the rule is in equilibrium with an unknown mass m placed at the 10cm mark and a 72g mass at the 70cm mark, determine m
Answer
(B)
102g
10
The resultant of two forces acting on an object is maximum when the angle between them is?
Answer
(D)
0o
11
The bob of a simple pendulum takes 0.25s to swing from its equilibrium position to one extreme end. Calculate its period
Answer
(D)
1.00s
12
The period of oscillation of a particle executing simple harmonic motion is 4\(\pi\) seconds. If the amplitude of oscillation is 3.0m. Calculate the maximum speed of the particle.
Answer
(A)
1.5ms-1
13
An inelastic collision takes place between ball of known masses, just before the collision one of the ball is moving with a known velocity while the other is stationary. Which of the following physical quantities can be determined from the information given?
Answer
(D)
total momentum of the two ball after collision
14
Using the force displacement diagram shown above. Calculate the work done
Answer
(B)
1000J
15
A machine of efficiency 80% is used to raise a body of mass 75kg through a vertical height of 3m in 30s. Calculate the power input. (g = 10ms-2)
Answer
(D)
93.8W
16
Two bodies P and Q, are in thermal equilibrium, which of the following statements about the bodies is correct?
Answer
(D)
P and Q are at the same temperature
17
The cubic expansivity of mercury is 1.8 x 10-4K-1 and the linear expansivity of glass 8.0 x 10-6K-1, calculate the apparent expansivity of mercury in a glass container
Answer
(B)
1.56 x 10-4K-1
18
The diagram shows the variation of volume V of a glass with temperature at the point X is
Answer
(C)
-273oC
19
The volume and pressure of a given mass of gas at 27oC are 76cm3 and 80cm of mercury respectively. Calculate the volume at s.t.p
Answer
(B)
72.8cm3
20
A piece of metal of mass 50g is cooled from 80oC to 20oC. Calculate the amount of heat lost. (specific heat capacity of the material of metal = 450Jkg-1K-1)
Answer
(D)
1.35 x 103J
21
The mass of water vapour in a given volume of air is 0.05g at 20oC, while the mass of water vapour required to saturate it at the same temperature is 0.15g. Calculate the relative humidity of the air
Answer
(C)
33.33%
22
The temperature at which the saturated vapour pressure of a liquid is equal to the external atmospheric pressure is known as its
Answer
(B)
boiling point
23
A periodic pulse travels a distance of 20.0m in 1.00s. If its frequency is 2.0 x 103Hz. Calculate the wavelength.
Answer
(B)
1.0 x 10-2m
24
A wave has an amplitude equal to 4.0m, angular speed \(\frac{1}{3} \pi\) rads-1 and phase angle \(\frac{2}{3} \pi\) rad. The displacement y of the wave particle is given as
Answer
(A)
y = 4 sin \(\frac{\pi}{3}\)(t + 2)
25
In the diagram above, an incident ray AY makes an angle of 30o with the normal XY. If the mirror is rotated anticlockwise about Y through an angle of 20o, while AY is fixed, what angle will the reflected ray now make with the incident ray?
Answer
(C)
100o
26
A concave mirror can be used to produce a parallel beam of light if a lighted bulb is placed
Answer
(B)
at its focus
27
A simple microscope forms an image 10cm from an eye close to the lens. If the object is 6cm from the eye, calculate the focal length of the lens
Answer
(A)
3.75cm
28
When white light passes through a triangular glass prism, there is dispersion because of
Answer
(C)
the difference in speed of the components of light
29
In which of the following media does sound travel faster?
Answer
(B)
brass
30
A turning fork of frequency 600Hz is sounded over a closed resonance tube. If the first and second resonant positions are 0.130m and 0.413m respectively, calculate the speed of sound in air
Answer
(C)
339.6ms-1
31
loudness increases as a vibrating tuning fork is brought nearer the end of a pipe containing air column due to
Answer
(A)
resonance
32
the factor which enables the ear to distinguish between a note played on different instruments is the
Answer
(C)
harmonics
33
An object is situated within the Earth's gravitational field. Which of the following factor does not affect the acceleration of free fall g?
Answer
(D)
the mass of the object
34
The capacitance of a parallel-plate capacitor is increased by making the area of the plates
Answer
(B)
large and their seperation small
35
In the diagram above, the current passing through the 6\(\Omega\) resistor is 1.5A. Calculate the current in the 3\(\Omega\) resistor
Answer
(D)
0.60A
36
An immersion heater is rated 120W. How long does it take the heater to raise the temperature of 1.2kg of water by 15oC. (Assuming heat lost to the surrounding is negligible. Specific heat capacity of water = 4200 Jkg-1K-1C)
Answer
(D)
10.5 minutes
37
The region around a magnet in which the magnetic influence is experienced is called
Answer
(B)
magnetic field
38
A device used to prevent wearing away of the make and-brake contacts of an induction coil is called a\an
Answer
(D)
capacitor
39
If a bar magnet is accidentally broken into three pieces as shown in the diagram above, the polarities of P and Q respectively are
Answer
(B)
N and S
40
An inductor of inductance 10H carries a current of 0.2A. Calculate the energy stored in the inductor
Answer
(B)
0.2J
41
calculate the inductance of an inductor whose reactance is one ohm at 50 Hz.
Answer
(C)
3.18 x 10-3H
42
Borh's theory provides evidence for the
Answer
(C)
existence of energy level in the atom
43
A nuclide \(^{202}_{84} Y\) emits in succession an \(\alpha-particle\) and a \(\beta-particle\). The atomic number of the resulting nuclide is
Answer
(B)
83
44
The half life of a radioactive substance is 14 days. If 48g of this substance is stored, after how many days will 1.5g of the original substance remain?
Answer
(B)
70 days
45
A material of mass 1.0 x 10-2kg undergoes a fission process which decreases its mass by 0.02 percent. Calculate the amount of energy released in the process. (c = 3.0 x 108ms-1)
Answer
(C)
1.8 x 1011J
46
Absorption line spectra exhibited by atoms is a result of
Answer
(C)
excitation of an electron in the atom
47
In which of the following transitions is the largest quantum of energy liberated by an hydrogen atom when the electron changes energy levels? [n is the quantum number]
Answer
(A)
n = 2 to n = 1
48
A proton of wavelength \(\lambda_o\) is emitted when an electron in an atom makes a transition from a level of energy 2E. If the electron transits from \(\frac{4}{3}E_k\) to E level, determine the wavelength of the photon that would be emitted
Answer
(A)
3\(\lambda_o\)
49
The nucleon number and the proton number of a neutral atom of an element are 23 and 11 respectively. How many neutrons are present in the atom?
Answer
(B)
12
50
In a nuclear reactor, electricity can be generated through the following processes. Arrange the processes in the correct order. i. The steam is used to drive turbines. ii. The heat energy released is removed by passing water through the reactor. iii. The turbines in turn generate electricity. iv. The water then passes through some form of heat exchanger to produce steam
