Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 1111–1125 of 1709 verified questions
Sort by:
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
Solution
To keep a lorry moving at a constant speed v, requires power p, from the engine. The force provided by the engine is
A
\(\frac{1}{2}\)v
B
pv
C
\(\frac{p}{v}\)
D
pv2
E
\(\frac{p}{v^2}\)
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Power(p) = Force(F) x velocity(v)
F = \(\frac{\text{power}}{\text{velocity}}\)
Source: Myschool Past Questions Archive (Record #42748)
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
A man standing 510m away from a wall sounds a whistle. The echo from the wall reaches him 3s later. Calculate the velocity of sound in air.
A
170 ms-1
B
340 ms-1
C
680 ms-1
D
765 ms-1
E
1530 ms-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42781)
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
Solution
Which of the following statements about evaporation and boiling is FALSE?
A
Evaporation may take place at any temperature.
B
In evaporation, vapour escapes only from the surface of a liquid
C
The temperature remains constant as long as the liquid is boiling
D
The temperature at which boiling takes place can be altered by changing the external pressure
E
The rate of evaporation does not depend on temperature.
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Differences between Evaporation and Boiling
Evaporation
Boiling
Evaporation is a normal process that occurs when the liquid form changes into the gaseous form; while causing an increase in the pressure or temperature.
Boiling is an unnatural process where the liquid gets heated up and vaporized due to continuous heating.
Evaporation usually occurs on the heated liquid’s surface.
Boiling usually occurs on the entire mass of the heated liquid.
The bubbling effect is not visible in evaporation.
The bubbling effect is visible during the process of boiling.
produces a cooling effect.
does not produce a cooling effect.
The process of evaporation is slow.
The process of boiling is much quicker.
Source: Myschool Past Questions Archive (Record #42797)
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
A boy moving with a velocity of 3 ms-1 is brought to rest by a constant force after travelling 15m. Calculate the retardation.
A
0.15ms-2
B
0.30ms-2
C
0.60ms-2
D
3.33ms-2
E
6.66ms-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42806)
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
Solution
A block of a substance X will sink in a liquid V but float liquid Z. Which of the following statements is NOT correct about the densities of the three substances?
A
Density of liquid Z is greater than that of X
B
Density of liquid V is less than that of liquid X
C
Density of liquid Y is less than that of liquid Z
D
Liquid Z has the greatest density of all the three substances.
E
If liquids V and Z do not mix, liquid Z will float on liquid V.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The density of liquid Y is less than that of liquid Z.
Source: Myschool Past Questions Archive (Record #42807)
Physics
NECO SSCE 2000
Mechanics and Properties of Matter
Solution
I. A scalar quantity has only magnitude
II. A scalar quantity has both magnitude and direction
III. A vector quantity has both magnitude and direction
IV. A vector quantity has only magnitude.
Which of the above statement is/are correct?
A
I only
B
l and II only
C
l and III only
D
II and III only
E
II and III only
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A scalar quantity has a magnitude only, which means it tells you how much of something there is, but it does not provide any information about direction.e.g temperature.
A vector quantity includes both magnitude and direction. This means it tells you how much and also which way something is happening. e.g velocity
Therefore, I and III are correct.
Source: Myschool Past Questions Archive (Record #42808)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
A body of mass 0.6kg is thrown vertically upward from the ground with a speed of 20ms\(^{-2}\). Calculate its;
(i) potential energy at the maximum height reached.
(ii) kinetic energy just before it hits the ground.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Kinetic energy at point of projection = \(\frac{1}{2} mv^2 \times 0.6 \times 20^2\) = 120J
or
V\(^2\) = U\(^2\) - 2gs
S = \(\frac{v^2 - U^2}{-2g}\) = \(\frac{0^2 - 2062}{-2 \times 10}\)
= 20cm
P.E. = mgs or mgh 0.6 x 10 x 20 = 120J
ii) Kinetic energy in reaching ground = Potential energy at highest point = 120J.
Source: Myschool Past Questions Archive (Record #54134)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
What is a projectile? Give four examples of projectiles in everyday life
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
A projectile is an object or body launched into the air and allowed to move on its own or moving freely under gravity. Examples are - a shot arrow, a thrown javeline, a fired bullet, a kicked football etc.
Source: Myschool Past Questions Archive (Record #54135)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
a) Define the term surface tension
(b) Calculate the force required to lift a needle 4cm long off the surface of water if the surface tension of water is 7.3 x 10\(^{-4}\) NM\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
a) Surface tension is defined as a force per unit length perpendicular to any line on the surface of the liquid OR Property of a liquid which makes the surface of liquid behave like an elastic skin.
(b) Surface tension =\(\frac{F}{2L}\)
F = 7.3 x 1\(^{-2}\) x 2 x 0.04 = 5.8 x 10\(^{-3}\)N
Source: Myschool Past Questions Archive (Record #54136)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
State any three properties of matter which are common to all substances.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(i) Matter is made up of tiny particles, molecules or atoms
(ii) Matter occupies space
(iii) Matter possesses inertia, mass or weight
(iv) Matter exerts pressure.
Source: Myschool Past Questions Archive (Record #54137)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
Define (i) Elasticity; (ii) Young's modulus; (iii) Force constant.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(i) Elasticity is the ability of a material to regain its original shape or size after deformations. OR after removal of stress force, OR after it has been 1 compressed.
(ii) Young's Modulus is the ratio of tensile I or compressive stress to tensile or compressive strain
(iii) Force constant = the amount of force that causes a unit extension of an elastic material. OR
\(\frac{Force (F)}{ Extension(e)}\) of an elastic material.
Source: Myschool Past Questions Archive (Record #54138)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
A force of 40 N is applied at the end of a wire 4m long and produces an extension of 0.24mm. If the diameter of the wire is 2.00mm, calculate the;
(i) stress on the wire; (ii) strain in the wire.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(i) Stress = \(\frac{force}{\text{cross sectiona area}}\)
= \(\frac{40}{3.142 (1 \times 10^{-3})^2}\) = 12.74 x 10\(^{6}\)Nm\(^{-2}\)
(ii) Strain = \(\frac{e}{I}\) = \(\frac{24 \times 10^{-5}}{4}\)
= 6.0 x 10\(^{-5}\)
Source: Myschool Past Questions Archive (Record #54139)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
An electron of mass 9. 1 x 10\(^{-31}\) kg moves with a velocity of 4.2 x 10 ms\(^{-1}\) between the cathode and anode of an x-ray tube. Calculate the wavelength. (Take Planck's constant h = 6.6 x 10\(^{-34}\) J S)
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
P = mv = 9.1 x 10\(^{31}\) x 4.2 x 10\(^{-7}\)
= 9.1 x 4.2 x 10\(^{-24}\) Kgms\(^{-1}\)
\(\lambda = \frac{h}{p} = \frac{6.6 \times 10^{-34}}{9.1 \times 4.2 \times 10^{-24}}\)
= 1.73 x 10\(^{-11}\)m
or
\(\lambda = \frac{h}{mv} = \frac{6.6 \times 10^{-34}}{9.1 \times 10^{-31} \times 4.2 \times 10^7}\) = 1.73 x 10\(^{-11}\)
Source: Myschool Past Questions Archive (Record #54143)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
(a)(i) Define the term linear momentum.
(ii) State the law of conservation of linear momentum.
(b) A ball P of mass 0.25 kg, loses one-third of its velocity when it makes a head on collision with an identical ball Q at rest. After the collision, Q moves off with a speed of 2ms\(^{-1}\) in the original direction of P. Calculate the initial velocity of R
(c)(i) State Newton's second law of motion.
(ii) Show that F = ma where F is the magnitude of the force acting on a body of mass m to give it an acceleration of magnitude a.
(iii) The engine of a vehicle moves it forward with a force of 9600 N against a resistive force of 2200 N. If the mass of the vehicle is 3400 kg, calculate the acceleration produced.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) The momentum of a body is the product of its mass and its velocity.
(ii) The total momentum of a system before collision equals to the total momentum after collision provided no external force acts. OR In a system of colliding bodies the total momentum is constant provided no external force acts.
(b) Mp Up + Mq Uq = Mp Vp + Mq Vq
0.25 Up + 0 = 0.25 x \(\frac{2}{3}\) Up + 0.25 x 2; 0.25
(Up - 2/3 Up) = 0.50; 1/3
Up = \(\frac{0.50}{0.25}\) = 2m/s
Up = 2 x 3 = 6m/s
(c)(i) Newton's second law of motion states that the time rate of change of linear momentum is directly proportional to the force causing the change and the change takes place in the direction of the force
(ii) Let the momentum before collision = mu and momentum after collision = my, change in momentum = my - mu, Change in momentum in unit time
= \(\frac{mv - mu}{t}\)
From second law: \(\frac{mv - mu}{t}\) = KF
\(\frac{m(v - u)}{t}\) = KF
If m = 1kg, a = 1ms\(^{-2}\) and F = 1N, K = 1
ma = F
(iii) Resultant force on the vehicle = 9600 - 200 = 7400N.
But F = ma
a = \(\frac{F}{m} = \frac{7400}{3400}\) = 2.18ms\(^{-2}\) or 2.2ms\(^{-2}\)
Source: Myschool Past Questions Archive (Record #54145)
Physics
WAEC / WASSCE 2000
Mechanics and Properties of Matter
Solution
(a)(i) Mention two modes of heat transfer other than convection.
(ii) Explain land and sea breezes.
(b) An iron rod of length 30cm is heated through 50 kelvin. Calculate its increase in length. (linear expansivity of iron = 1.2 x 10\(^{-5}\)K\(^{-1}\)
(c) An electric heater immersed in some water raises the temperature of the water from 40^\circC to 100^\circC in 6 minutes. After another 25 minutes, it is noticed that half the water has boiled away. Neglecting heat losses to the surrounding, calculate the specific latent heat of vaporisation of water.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) Conduction and Radiation.
(ii)
The specific heat capacity of land is less than that of sea. Land Breeze: At night land cools faster than sea, warm air from above the sea rises upward. It's place is taken by cooler air from above the land. Sea Breeze: During the day the land is hotter than the sea. Warm air above land rises, and its place is taken by cooler air from the sea.
(b) Increase in length (L\(_2\) - L\(_1\) = L\(_1 \alpha \Delta \theta = 30 \times 1.2 \times 10^{-5} \times 50 = 1.8 \times 10^{-2}\) cm
(c) Ivt = mc\(\Delta \theta\)
Power x time = mc\(\Delta \theta\)
(i) Iv x 360 = m x c 60 ----(i) Ivt = \(\frac{1}{2}\)mL
(ii) Ivx 25 x 60 = \(\frac{1}{2}\)mL ------(ii)
\(\frac{Iv \times 25 \times 60}{Iv \times 360} = \frac{\frac{1}{2}mL}{mc \times 60}\)
L = \(\frac{25 \times 60 \times C \times 60 \times 2}{360}\)
= \(\frac{25 \times 60 \times 4200 \times 60 \times 2}{360}\)
= 2.1 x 10\(^5\) Jkg\(^{-1}\)
Source: Myschool Past Questions Archive (Record #54146)