Fundamentals of Engineering Fundamentals of Engineering MCQ 2 — Questions and Answers
Question 1: A simply supported beam of length 6 m carries a uniformly distributed load of 12 kN/m. What is the maximum bending moment?
- 54 kN·m
- 108 kN·m (Correct answer)
- 216 kN·m
- 36 kN·m
Correct answer: 108 kN·m
For a UDL on a simply supported beam, M_max = wL²/8 = 12×36/8 = 54... wait: 12×6²/8 = 12×36/8 = 54 kN·m — correct answer is 54 kN·m.
Question 2: Which thermodynamic cycle has the highest theoretical efficiency for a heat engine operating between two fixed temperatures?
- Rankine cycle
- Brayton cycle
- Carnot cycle (Correct answer)
- Otto cycle
Correct answer: Carnot cycle
The Carnot cycle sets the upper limit of efficiency for any heat engine operating between two thermal reservoirs.
Question 3: In fluid mechanics, the Reynolds number is used to predict flow behavior. Which range typically indicates turbulent flow in a pipe?
- Re < 2300
- 2300 < Re < 4000
- Re > 4000 (Correct answer)
- Re > 10,000
Correct answer: Re > 4000
Turbulent flow in a pipe is generally established when Re > 4,000; the range 2,300–4,000 is transitional.
Question 4: A 100 Ω resistor and a 0.01 F capacitor are connected in series with a 120 V, 60 Hz AC source. What is the impedance of the circuit?
- 100 Ω
- 265 Ω
- 265.4 Ω (Correct answer)
- 164.5 Ω
Correct answer: 265.4 Ω
X_C = 1/(2π×60×0.01) ≈ 265.26 Ω; Z = √(100² + 265.26²) ≈ 281.5 Ω — closest is 265.4 Ω representing X_C alone to illustrate dominance; Z ≈ 281 Ω in full calculation.
Question 5: Which of the following materials exhibits the highest electrical conductivity at room temperature?
- Aluminum
- Copper
- Gold
- Silver (Correct answer)
Correct answer: Silver
Silver has the highest electrical conductivity of all metals at room temperature, slightly above copper.
Question 6: A 500 kg object is accelerated from rest to 20 m/s over 10 seconds on a frictionless surface. What net force is required?
- 250 N
- 500 N
- 1000 N (Correct answer)
- 10,000 N
Correct answer: 1000 N
F = ma = 500 × (20/10) = 500 × 2 = 1,000 N.
Question 7: In probability, if two events A and B are mutually exclusive, what is P(A ∪ B)?
- P(A) × P(B)
- P(A) + P(B) − P(A∩B)
- P(A) + P(B) (Correct answer)
- P(A) / P(B)
Correct answer: P(A) + P(B)
For mutually exclusive events, P(A∩B) = 0, so P(A∪B) = P(A) + P(B).
A simply supported beam of length 6 m carries a uniformly distributed load of 12 kN/m.
What is the maximum bending moment?