Question 11

In the diagram above, a 200 W bulb is lighted by a 240 V a.c mains supply. If 1kwh is sold at ₦40, the cost of keeping the bulb lighted for a day is
Time used = 24 hours.
Energy consumed = Power × Time = 0.2 × 24 = 4.8 kWh.
Cost = 4.8 × ₦40 = ₦192.00.
Hence, the total cost of running the bulb for one day is ₦192.00.
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Question 12

The diagram above shows a velocity–time graph. The statement that is true about this motion is that the car
Therefore, between points F and G where the graph is horizontal, the car moves with uniform velocity and has no acceleration.
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Question 13

The diagram above represents balls in an undulating surface. Which of the following option represents positions of stable equilibrium?
From the diagram, positions III, VI, and IX are at the bottoms of the depressions, indicating stable equilibrium points.
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Question 14
Let the weight of the bob = W = 0.1 N, and length of string L = 0.5 m.
Vertical rise h = L(1 − cos θ) = 0.5(1 − cos 60°) = 0.5(1 − 0.5) = 0.25 m.
Work done = W × h = 0.1 × 0.25 = 0.025 J.
Thus, the work done in pulling the bob is 0.025 J.
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Question 15
Therefore, ΔlP / ΔlQ = (αP × lP) / (αQ × lQ) = (2/3) × (3/4) = 1/2.
Hence, the ratio of increase in length of P to Q is 1:2.
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Question 16
At 16°C, T₁ = 289 K.
At 127°C, T₂ = 400 K.
Since the pressure is doubled, the ratio P/ρ remains constant for ideal gases, hence pressure has no effect.
v₂/v₁ = √(T₂/T₁) = √(400/289) ≈ 1.175.
v₂ = 1.175 × 340 ≈ 400 ms⁻¹.
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Question 17
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Question 18
f = E/h = (5.44 × 10⁻¹⁹) / (6.6 × 10⁻³⁴) ≈ 8.24 × 10¹⁴ Hz.
This does not match exactly with the given options, but the closest available option is 5.0 × 10¹⁵ Hz.
Therefore, the correct choice is C.
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Question 19
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Question 20
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Select the option nearest in meaning to the sentence below.
Her findings exploded widely held beliefs about learning.
Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.
$$
\begin{array}{|l|c|c|c|c|}
\hline
\text{GSM operators} & \text{GTN} & \text{PLO} & \text{Qtel} & \text{Cmol} \\
\hline
\text{No. of recharge cards} & 5 & 6 & 3 & 6 \\
\hline
\end{array}
$$
The table above shows the distribution of recharge cards of four major GSM operators. What is the probability that a recharge card selected at random will be GTN or Qtel?
At the office supply store, a box of 25 pens costs \$7.19,
a box of 50 pens costs \$10.78,
a box of 75 pens costs \$14.53,
a box of 100 pens costs \$22.50,
and a box of 125 pens costs \$26.25.
Which box has the cheapest per pen cost?
