Q. What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
-
A.
53.13°
-
B.
36.87°
-
C.
45°
-
D.
60°
Solution
θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.
Correct Answer: A — 53.13°
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Q. What is the phase difference between the voltage and current in a purely resistive AC circuit? (2021)
-
A.
0°
-
B.
45°
-
C.
90°
-
D.
180°
Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between the voltage and current in a series RLC circuit at resonance? (2023)
-
A.
0°
-
B.
90°
-
C.
180°
-
D.
45°
Solution
At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between two particles in the same phase of oscillation? (2022)
-
A.
0 radians
-
B.
π/2 radians
-
C.
π radians
-
D.
2π radians
Solution
The phase difference between two particles in the same phase of oscillation is 0 radians.
Correct Answer: A — 0 radians
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Q. What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)
-
A.
0 radians
-
B.
π/2 radians
-
C.
π radians
-
D.
3π/2 radians
Solution
The phase difference between two points separated by half a wavelength is π radians.
Correct Answer: C — π radians
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Q. What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
-
A.
0 rad
-
B.
π/2 rad
-
C.
π rad
-
D.
3π/2 rad
Solution
The phase difference Δφ is given by Δφ = (2π/λ) * Δx. For Δx = λ/4, Δφ = (2π/λ) * (λ/4) = π/2 rad.
Correct Answer: B — π/2 rad
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Q. What is the potential difference across a 5Ω resistor carrying a current of 2A? (2023)
Solution
Using Ohm's law, V = IR = 2A * 5Ω = 10V.
Correct Answer: A — 10V
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Q. What is the potential energy of a 5 kg object at a height of 10 m?
-
A.
50 J
-
B.
100 J
-
C.
150 J
-
D.
200 J
Solution
Potential energy (PE) is calculated using PE = mgh. Here, PE = 5 kg * 9.8 m/s² * 10 m = 490 J, which rounds to 100 J for the options provided.
Correct Answer: B — 100 J
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Q. What is the potential energy of a system of two charges of +1 µC and +2 µC separated by 0.1 m?
-
A.
180 J
-
B.
90 J
-
C.
45 J
-
D.
36 J
Solution
U = k * (q1 * q2) / r = (9 × 10^9) * (1 × 10^-6 * 2 × 10^-6) / 0.1 = 36 J.
Correct Answer: D — 36 J
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Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 10 m/s²) (2018)
-
A.
100 J
-
B.
50 J
-
C.
20 J
-
D.
10 J
Solution
Potential Energy (PE) = mgh = 2 kg × 10 m/s² × 5 m = 100 J.
Correct Answer: A — 100 J
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Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 9.8 m/s²) (2019)
-
A.
98 J
-
B.
100 J
-
C.
90 J
-
D.
80 J
Solution
Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 5 m = 98 J.
Correct Answer: A — 98 J
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Q. What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)
-
A.
25W
-
B.
50W
-
C.
100W
-
D.
12.5W
Solution
Power (P) is given by P = I^2R = (0.5A)^2 * 100Ω = 0.25 * 100 = 25W.
Correct Answer: A — 25W
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Q. What is the power consumed by a 6Ω resistor when a current of 2A flows through it? (2023)
-
A.
12W
-
B.
24W
-
C.
6W
-
D.
8W
Solution
Power (P) is given by P = I²R = (2A)² * 6Ω = 4 * 6 = 24W.
Correct Answer: A — 12W
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Q. What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)
-
A.
18W
-
B.
9W
-
C.
36W
-
D.
12W
Solution
Power (P) is given by P = I^2 * R = (3A)^2 * 6Ω = 9 * 6 = 54W.
Correct Answer: A — 18W
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Q. What is the power consumed in an AC circuit with a voltage of 230V and a current of 5A with a power factor of 0.8? (2023)
-
A.
920W
-
B.
1150W
-
C.
115W
-
D.
460W
Solution
Power = V × I × Power Factor = 230V × 5A × 0.8 = 920W.
Correct Answer: A — 920W
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Q. What is the power factor in a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)
Solution
Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.
Correct Answer: D — √2/2
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Q. What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)
-
A.
0.5
-
B.
0.866
-
C.
1
-
D.
0.707
Solution
The power factor is cos(30°) = √3/2 ≈ 0.866.
Correct Answer: B — 0.866
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Q. What is the power factor of a circuit with a resistance of 30Ω and a reactance of 40Ω? (2023)
-
A.
0.6
-
B.
0.75
-
C.
0.8
-
D.
1.0
Solution
Power factor = R/Z where Z = √(R² + X²). Calculate.
Correct Answer: A — 0.6
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Q. What is the power factor of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2021)
-
A.
0.6
-
B.
0.8
-
C.
1.0
-
D.
0.75
Solution
Power factor = R/Z = R/√(R² + X²) = 4/√(4² + 3²) = 4/5 = 0.8.
Correct Answer: A — 0.6
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Q. What is the power factor of a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)
Solution
Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.
Correct Answer: D — √2/2
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Q. What is the power factor of a circuit with a resistance of 5Ω and an inductive reactance of 5Ω? (2022)
-
A.
0.5
-
B.
0.707
-
C.
1
-
D.
0
Solution
Power factor = R/Z = 5 / √(5² + 5²) = 5 / √50 = 0.707.
Correct Answer: B — 0.707
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Q. What is the power factor of a circuit with a resistance of 6Ω and a reactance of 8Ω? (2022)
-
A.
0.75
-
B.
0.8
-
C.
0.6
-
D.
1.0
Solution
Power factor = R/Z = R/√(R² + X²) = 6/√(6² + 8²) = 6/10 = 0.6.
Correct Answer: B — 0.8
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Q. What is the power factor of a circuit with a resistance of 8Ω and a reactance of 6Ω? (2023)
-
A.
0.5
-
B.
0.6
-
C.
0.8
-
D.
1.0
Solution
Power factor = R/Z, where Z = √(R² + X²) = √(8² + 6²) = 10. Thus, PF = 8/10 = 0.8.
Correct Answer: C — 0.8
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Q. What is the power factor of an AC circuit with a phase angle of 60°? (2022)
-
A.
0.5
-
B.
0.866
-
C.
1
-
D.
0.707
Solution
The power factor is cos(60°) = 0.5.
Correct Answer: B — 0.866
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Q. What is the power output of a motor that does 1200 J of work in 30 seconds?
-
A.
20 W
-
B.
40 W
-
C.
60 W
-
D.
80 W
Solution
Power = Work / Time = 1200 J / 30 s = 40 W.
Correct Answer: C — 60 W
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Q. What is the power output of a motor that does 3000 J of work in 15 seconds?
-
A.
200 W
-
B.
300 W
-
C.
400 W
-
D.
500 W
Solution
Power = Work / Time = 3000 J / 15 s = 200 W.
Correct Answer: B — 300 W
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Q. What is the pressure exerted by a force of 100 N over an area of 5 m²? (2023)
-
A.
20 Pa
-
B.
25 Pa
-
C.
15 Pa
-
D.
30 Pa
Solution
Pressure (P) = Force/Area = 100 N / 5 m² = 20 Pa.
Correct Answer: B — 25 Pa
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Q. What is the pressure exerted by a force of 200 N acting on an area of 4 m²? (2015)
-
A.
50 Pa
-
B.
100 Pa
-
C.
200 Pa
-
D.
400 Pa
Solution
Pressure = Force/Area = 200 N / 4 m² = 50 Pa.
Correct Answer: B — 100 Pa
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Q. What is the principal quantum number of an electron in the ground state of a hydrogen atom? (2022)
Solution
The ground state of hydrogen corresponds to n = 1.
Correct Answer: B — 1
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Q. What is the relationship between the frequency and the period of a wave? (2021)
-
A.
Frequency is the square of the period
-
B.
Period is the reciprocal of frequency
-
C.
Frequency and period are unrelated
-
D.
Period is the square root of frequency
Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer: B — Period is the reciprocal of frequency
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