Engineering Entrance
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
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B.
100 J
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C.
150 J
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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
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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
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B.
1150W
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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 of a circuit with a resistance of 30Ω and a reactance of 40Ω? (2023)
-
A.
0.6
-
B.
0.75
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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
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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 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
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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 primary characteristic of adsorption? (2023)
-
A.
It is a bulk phenomenon.
-
B.
It involves a chemical reaction.
-
C.
It is a surface phenomenon.
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D.
It requires high temperature.
Solution
Adsorption is a surface phenomenon where molecules adhere to the surface of a solid or liquid.
Correct Answer: C — It is a surface phenomenon.
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Q. What is the primary characteristic of gases compared to solids and liquids? (2023)
-
A.
Definite shape
-
B.
Definite volume
-
C.
High compressibility
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D.
Low density
Solution
Gases have high compressibility due to the large spaces between particles, unlike solids and liquids which have definite shape and volume.
Correct Answer: C — High compressibility
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Q. What is the primary characteristic of gases? (2023)
-
A.
Definite shape
-
B.
Definite volume
-
C.
Compressibility
-
D.
Incompressibility
Solution
Gases are highly compressible due to the large spaces between particles, allowing them to occupy more volume when pressure is applied.
Correct Answer: C — Compressibility
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Q. What is the primary component of natural gas? (2020)
-
A.
Ethane
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B.
Propane
-
C.
Methane
-
D.
Butane
Solution
The primary component of natural gas is methane (CH4).
Correct Answer: C — Methane
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Q. What is the primary component of the cell membrane?
-
A.
Proteins
-
B.
Carbohydrates
-
C.
Phospholipids
-
D.
Nucleic Acids
Solution
Phospholipids are the primary component of cell membranes, forming a bilayer.
Correct Answer: C — Phospholipids
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Q. What is the primary difference between liquids and gases? (2023)
-
A.
Shape
-
B.
Volume
-
C.
Compressibility
-
D.
Density
Solution
Gases are highly compressible while liquids are not, due to the distance between particles in each state.
Correct Answer: C — Compressibility
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Q. What is the primary difference between solids and liquids in terms of particle arrangement? (2023)
-
A.
Solids have loosely packed particles
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B.
Liquids have tightly packed particles
-
C.
Solids have fixed shape and volume
-
D.
Liquids have fixed shape but variable volume
Solution
Solids have a fixed shape and volume due to closely packed particles, while liquids take the shape of their container but have a fixed volume.
Correct Answer: C — Solids have fixed shape and volume
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Q. What is the primary factor affecting the rate of adsorption of a gas on a solid surface?
-
A.
Temperature
-
B.
Pressure
-
C.
Surface area
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D.
Molecular weight
Solution
The rate of adsorption increases with the surface area of the solid, as more surface provides more sites for gas molecules to adhere.
Correct Answer: C — Surface area
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Q. What is the primary function of proteins in the body? (2023)
-
A.
Energy storage
-
B.
Catalyzing biochemical reactions
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C.
Genetic information storage
-
D.
Cell membrane structure
Solution
Proteins act as enzymes that catalyze biochemical reactions.
Correct Answer: B — Catalyzing biochemical reactions
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Q. What is the primary function of proteins in the body? (2023) 2023
-
A.
Energy storage
-
B.
Catalyzing biochemical reactions
-
C.
Genetic information storage
-
D.
Cell membrane structure
Solution
Proteins primarily function as enzymes that catalyze biochemical reactions.
Correct Answer: B — Catalyzing biochemical reactions
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