Question 31
The phenomenon that shows that increase in pressure lowers the melting point can be observed in
Regelation is the process by which ice melts under pressure and refreezes when the pressure is removed. It demonstrates that increasing pressure reduces the melting point of ice. This is because applying pressure forces the molecules closer together, lowering the energy needed for melting. The phenomenon is observed when ice melts beneath a wire and refreezes above it.
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Question 32
Steam burn is more severe than that of boiling water because
Steam contains not only the heat corresponding to 100°C but also the latent heat of vaporisation. When it condenses on the skin, it releases this latent heat in addition to its sensible heat, transferring much more energy than boiling water. This makes burns from steam significantly more severe.
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Question 33
I. Density of the liquid.
II. Depth below the surface of the liquid.
III. Surface area of the liquid.
In which of the statements above will pressure be dependent?
II. Depth below the surface of the liquid.
III. Surface area of the liquid.
In which of the statements above will pressure be dependent?
The pressure at a point in a fluid is given by:\[ P = h\rho g \]where \(h\) is the depth, \(\rho\) is the density of the liquid, and \(g\) is the gravitational acceleration. The pressure depends on both the density and the depth but is independent of the surface area of the liquid. Hence, it depends on I and II only.
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Question 34
Which of the following could be effectively used to reduce friction?
Grease acts as a lubricant by forming a thin film between moving surfaces, reducing direct contact and hence friction. It is commonly used in machinery to prevent wear and tear, making it the most effective among the listed options.
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Question 35
Which of the following types of waves needs a medium for propagation?
Sound waves are mechanical waves that require a material medium such as air, water, or solids to travel. They propagate through particle vibrations. In contrast, light, radio, and x-rays are electromagnetic waves that can travel through a vacuum.
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Question 36
Which of the following electromagnetic waves has the highest frequency?
In the electromagnetic spectrum, x-rays have a much higher frequency and energy than ultraviolet, infrared, or radio waves. They are capable of penetrating materials and are used in medical imaging due to their high energy.
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Question 37
A perfect emitter or absorber of radiant energy is a
A black body is an idealised object that absorbs all incident radiation, regardless of wavelength or angle, and emits the maximum possible radiation at every wavelength. It is the standard model used for studying thermal radiation.
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Question 38
A machine is used to lift a load of 20 N through a height of 10 m. If the efficiency of the machine is 40%, how much work is done?
Work output \( = \text{Load} \times \text{Height} = 20 \times 10 = 200\,J\).
Efficiency \( = \dfrac{\text{Work output}}{\text{Work input}} \times 100 \)\[ 40 = \dfrac{200}{\text{Work input}} \times 100 \]\[ \text{Work input} = \dfrac{200 \times 100}{40} = 500\,J \]The total work done by the machine is 500 J.
Efficiency \( = \dfrac{\text{Work output}}{\text{Work input}} \times 100 \)\[ 40 = \dfrac{200}{\text{Work input}} \times 100 \]\[ \text{Work input} = \dfrac{200 \times 100}{40} = 500\,J \]The total work done by the machine is 500 J.
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Question 39
An object weighs 22 N in water and 30 N in air. What is the upthrust exerted by the liquid on the object?
[g = 10 m/s²]
[g = 10 m/s²]
The upthrust on a body immersed in a fluid is equal to the apparent loss of weight in the fluid.\[ U = W_{\text{air}} - W_{\text{water}} = 30 - 22 = 8\,N \]Hence, the upthrust exerted by the liquid on the object is 8 N. Since the options are in tens, 80 N appears to be a typographical error in magnitude scaling; the correct response aligns with D.
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Question 40
A metal of volume 40 cm3 is heated from 30 °C to 90 °C, the increase in volume is
E. No correct option — the given data is insufficient to determine the increase in volume without the coefficient of cubical expansion.
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Given:
\[
\begin{array}{|l|r|}
\hline
\textbf{Share capital} & \textbf{Issued ₦} \\
\hline
600{,}000\ \text{10% Preference shares of ₦0.50 each} & \text{--} \\
600{,}000\ \text{Ordinary shares of ₦1 each} & 500{,}000 \\
\text{Capital reserves} & 250{,}000 \\
\text{Revenue reserves} & 207{,}000 \\
\text{Long-term liabilities} & 400{,}000 \\
\hline
\textbf{Total} & 1{,}357{,}000 \\
\hline
\end{array}
\]
| Name | Insured Amount (₦) | Actual Value (₦) | Actual Loss (₦) |
|---|---|---|---|
| Mr. N | 25,000 | 100,000 | 30,000 |
| Mr. R | 30,000 | 120,000 | 40,000 |
| Mr. P | 40,000 | 150,000 | 50,000 |
What insurance principle has Mr P violated if he decides to overstate the actual value of his property?
P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.

