BE/B Eng Bachelor of Engineering Bachelor of Engineering Science 3 — Questions and Answers
Question 1: Which law states that the pressure at any point in a static fluid depends only on the depth of that point?
- Bernoulli's law
- Pascal's law (Correct answer)
- Archimedes' principle
- Torricelli's theorem
Correct answer: Pascal's law
Pascal's law states pressure applied to an enclosed fluid is transmitted equally in all directions, and static pressure depends only on fluid depth (P = ρgh).
Question 2: In a simply supported beam with a central point load P and span L, the maximum bending moment is:
- PL/8
- PL/4 (Correct answer)
- PL/2
- PL
Correct answer: PL/4
For a simply supported beam with central point load, maximum bending moment occurs at midspan: M_max = PL/4.
Question 3: What does the Laplace transform of a unit impulse function δ(t) equal?
- 0
- 1/s
- 1 (Correct answer)
- s
Correct answer: 1
The Laplace transform of the Dirac delta function δ(t) is 1, making it useful as a test input in control system analysis.
Question 4: Which heat transfer mode does NOT require a medium for energy transmission?
- Conduction
- Convection
- Radiation (Correct answer)
- Advection
Correct answer: Radiation
Radiation transfers energy via electromagnetic waves and can propagate through a vacuum, unlike conduction and convection which require matter.
Question 5: In a DC circuit, three resistors of 6 Ω, 3 Ω, and 2 Ω are connected in parallel. What is the equivalent resistance?
- 11 Ω
- 1 Ω (Correct answer)
- 3 Ω
- 0.5 Ω
Correct answer: 1 Ω
1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1, so R_eq = 1 Ω.
Question 6: Which manufacturing process joins two metal surfaces by heating them to below their melting points and applying pressure?
- Fusion welding
- Brazing
- Solid-state welding (Correct answer)
- Soldering
Correct answer: Solid-state welding
Solid-state welding (e.g., friction welding, diffusion bonding) joins metals below their melting points through heat, pressure, or both without forming a liquid phase.
Question 7: In probability and statistics, which distribution is most appropriate for modeling the number of defects per unit area in a manufacturing process?
- Normal distribution
- Binomial distribution
- Poisson distribution (Correct answer)
- Exponential distribution
Correct answer: Poisson distribution
The Poisson distribution models the count of rare, independent events occurring over a fixed interval of time or space, such as defects per unit area.
Which law states that the pressure at any point in a static fluid depends only on the depth of that point?