41. What is the cost of running seven 40 W lamps and five 80 W la mps for 12 hours of the electrical energy cost N7.00kWk?
- A. N80.00
- B. N45.36
- C. N65.00
- D. N57.12
Correct Option: Answer is D
Seven 40W lamps = 7 × 40 = 280W
Five 80W lamps = 5 × 80 = 400W
Total power = 280W + 400W
= 680W
= \(\frac{680KW}{1000}\) = 0.68KW
The kilowatt hour = 0.68 KW × 12 hrs
= 8.16 KWh
Cost is N 7 per KWh
So the cost of running them = 8.16KWh × N 7/KWh
= 57.12
42.
- A. 5.0A
- B. 3.7A
- C. 4.5A
- D. 4.0A
Correct Option: Answer is B
V = IR from ohms law
I = \(\frac{V}{R}\)
Since the resistance are in parallel
\(\frac{1}{Reff}\) = \(\frac{1}{8}\) + \(\frac{1}{12}\) + \(\frac{1}{6}\)
= \(\frac{2 + 3 + 6}{36}\) = \(\frac{11}{36}\)
Reff = \(\frac{36}{11}\) = 3.27
I = I1 + I2 + I3
= \(\frac{V}{Reff}\)= \(\frac{12}{3.27}\)
= 3.669A
I = 3.7A
43. Calculate the time taken for a mango fruit that fall from the tree 20 m to the ground [g = 10 ms-2]
- A. 10s
- B. 5s
- C. 4s
- D. 2s
Correct Option: Answer is D
u = , H = 20, g = 10
From equation of motion under gravity
H = ut ± \(\frac{1}{2}\)gt2, It is falling so g is +ve
H = 0 + \(\frac{1}{2}\)gt2
H = \(\frac{1}{2}\)gt2
2H = gt2
\(\frac{2H}{g}\) = t2
t = \(\frac{\sqrt{2H}}{g}\)
= \(\frac{\sqrt {2 \times 20}}{10}\)
= √4
= 2s
44. Which of the following is not a mechanical wave?
- A. wave in closed pipe
- B. radio waves
- C. water waves
- D. sound waves
Correct Option: Answer is B
Mechanical waves require material medium for their propagation only radio waves among the options docs require a material medium
45. The velocity ratio of an inclined plane where angle of inclination in θ is
- A. Sinθ
- B. Cosθ
- C. Tanθ
- D.
Correct Option: Answer is D
Consider an inclined plane shown below, as the effort moves along OB, the load moves is lifted up through a vertical height AB
V.R = \(\frac{\text{distance moved by effort}}{\text{distance moved by load}}\) = \(\frac{OB}{AB}\)
But Sinθ = \(\frac{opp}{hyp}\) = \(\frac{AB}{OB}\)
therefore; = \(\frac{OB}{AB}\) = \(\frac{1}{\sin \theta}\)
46. The volume of a fixed mass of gas is 10cm3 when its pressure is 400cmHg. Determine the volume of the gas when its pressure is 200cmHg.
- A. 30cm3
- B. 40cm3
- C. 50cm3
- D. 20cm3
Correct Option: Answer is D
Using boyle’s law
P1V1 = P2V2
V2 = \(\frac{P_1 V_1}{200}\) = \(\frac{400 \times 10}{200}\)
= 20cm3
47. Which of the following representations is correct for an atom X with 28 electrons and 30 neutrons?
- A. \(^{58}_{28}X\)
- B. \(^{30}_{28}X\)
- C. \(^{28}_{30}X\)
- D. \(^{58}_{30}X\)
Correct Option: Answer is A
An atom can be represented thus,
\(^{Z}_{A}X\) where Z = mass number
A = atomic number
A = number of proton = number of electrons in a free state = 28
Z = number of protons + number of neutrons = 28 + 30 = 58
\(^{58}_{28}X\)is the representation
48. Which of the following is true of an electrical charge?
- A. Positive charge means deficit electrons
- B. Negative charge means excess of electrons
- C. electric current means movement of electrons
- D. All of the above
Correct Option: Answer is D
49. A man of mass 50kg ascends a flight of stains 5m high in 5 seconds. If acceleration due to gravity is 10ms−2 the power expended is
- A. 100w
- B. 200w
- C. 400w
- D. 500w
Correct Option: Answer is D
Power is the time rate of doing work
i.e power = \(\frac{\text{energy}}{\text{time}}\)
Since energy = mgH
∴ power = \(\frac{mgH}{t}\)
= \(\frac{50 \times 10 \times 5}{t}\)
= 500W
50. Calculate the angle of minimum deviation of a 60o prism of a refractive index [sin-10.75 = 49o]
- A. 38.00o
- B. 19.47o
- C. 16.25o
- D. 49o