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Free Practice Questions for Balearic PAU Technology & Engineering II

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Sample Balearic PAU Technology & Engineering II Practice Questions

Try these sample questions to review concepts for the Balearic PAU Technology & Engineering II exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A cylindrical steel bar with a diameter of $d = 10\text{ mm}$ is subjected to an axial tensile force of $F = 50\text{ kN}$. What is the normal tensile stress $\sigma$ induced in the bar?
A.636.62 MPa
B.159.15 MPa
C.500.00 MPa
D.318.31 MPa
Explanation: The cross-sectional area of the cylindrical bar is $A = \frac{\pi}{4} d^2 = \frac{\pi}{4} (10\text{ mm})^2 = 78.54\text{ mm}^2$. Tensile stress is calculated as $\sigma = \frac{F}{A} = \frac{50000\text{ N}}{78.54\text{ mm}^2} = 636.62\text{ N/mm}^2 = 636.62\text{ MPa}$.
2A metal wire of initial length $L_0 = 2.0\text{ m}$ undergoes an elongation of $\Delta L = 1.2\text{ mm}$ under load. What is the unit engineering strain $\varepsilon$?
A.0.0600 (6.00%)
B.0.0006 (0.06%)
C.0.0060 (0.60%)
D.0.0012 (0.12%)
Explanation: Engineering strain is defined as the ratio of elongation to initial length: $\varepsilon = \frac{\Delta L}{L_0} = \frac{1.2\text{ mm}}{2000\text{ mm}} = 0.0006$, which corresponds to $0.06\%$.
3A structural steel alloy has a Young's modulus of elasticity $E = 210\text{ GPa}$. If it experiences an elastic strain of $\varepsilon = 0.001$, what is the elastic stress $\sigma$?
A.2100 MPa
B.2.1 GPa
C.210 MPa
D.21 MPa
Explanation: According to Hooke's Law within the elastic regime, $\sigma = E \cdot \varepsilon = 210 \times 10^9\text{ Pa} \times 0.001 = 210 \times 10^6\text{ Pa} = 210\text{ MPa}$.
4Which type of penetrator (indenter) is standardly used in the Brinell hardness test (HB)?
A.A 120° diamond pyramid
B.A 136° diamond square-based pyramid
C.A conical steel needle
D.A hardened steel or tungsten carbide ball
Explanation: The Brinell hardness test uses a spherical indenter made of hardened steel (or tungsten carbide for very hard materials) of standardized diameter (typically 10 mm, 5 mm, or 2.5 mm).
5What is the primary microstructural objective of quenching (temple) a medium-carbon steel from its austenitizing temperature?
A.To transform austenite rapidly into martensite, achieving high hardness
B.To form a soft, ductile coarse pearlite structure
C.To relieve internal residual stresses without changing phase
D.To promote graphite flake precipitation
Explanation: Quenching involves rapid cooling (in water, oil, or forced air) from the austenitic region to suppress diffusion, causing diffusionless shear transformation of austenite into hard, brittle martensite.
6Why is a tempering heat treatment (revenido) almost always performed immediately after quenching steel?
A.To prevent surface oxidation and decarburization during storage
B.To reduce excessive brittleness and internal stresses while restoring acceptable toughness
C.To further increase the hardness of martensite to maximum theoretical limits
D.To transform martensite back into 100% pure austenite
Explanation: As-quenched martensite is extremely hard but excessively brittle and highly stressed. Tempering (reheating below $A_{c1}$) relieves internal stresses and precipitates fine carbides, increasing toughness and ductility at a slight expense of hardness.
7How do thermoplastic polymers differ fundamentally from thermosetting polymers regarding heat response?
A.Thermoplastics contain cross-linked 3D network polymer chains.
B.Thermosets consist solely of linear or branched chains with weak van der Waals intermolecular bonds.
C.Thermoplastics soften and melt upon heating and can be repeatedly re-molded, whereas thermosets decompose permanently when heated.
D.Thermosets can be melted and re-molded repeatedly, whereas thermoplastics decompose upon heating.
Explanation: Thermoplastics consist of linear or branched polymer chains held together by weak secondary bonds (van der Waals), allowing them to soften/melt reversibly upon heating. Thermosets contain permanent covalent cross-links, forming a 3D rigid network that decomposes/chars rather than melting.
8In a fiber-reinforced composite material (e.g., carbon-fiber reinforced epoxy), what is the main mechanical function of the matrix material?
A.To carry almost 100% of the tensile load along the longitudinal fiber direction
B.To increase the electrical conductivity of the composite to metallic levels
C.To reduce the overall density of the composite below that of air
D.To bind the fibers together, transfer external loads to the fibers, and protect them from environmental damage
Explanation: The fibers provide high strength and stiffness, while the matrix binds the reinforcement fibers, distributes and transfers shear stresses between fibers, and protects them from abrasion and corrosion.
9A cylindrical titanium test specimen with diameter $d_0 = 12.00\text{ mm}$ undergoes axial tension. Under load, its axial strain is measured as $\varepsilon_x = +0.0015$ and its diameter decreases by $\Delta d = -0.0054\text{ mm}$. What is Poisson's ratio $\nu$ for this alloy?
A.0.30
B.0.45
C.0.25
D.0.36
Explanation: Lateral strain is $\varepsilon_y = \frac{\Delta d}{d_0} = \frac{-0.0054\text{ mm}}{12.00\text{ mm}} = -0.00045$. Poisson's ratio is $\nu = -\frac{\varepsilon_y}{\varepsilon_x} = -\frac{-0.00045}{0.0015} = 0.30$.
10A Brinell hardness test is conducted using a ball indenter of diameter $D = 10\text{ mm}$ under a test load $P = 3000\text{ kgf}$. The resulting impression diameter is measured as $d = 4.0\text{ mm}$. What is the Brinell Hardness Number ($HB$)?
A.254.65 HB
B.228.88 HB
C.238.73 HB
D.198.94 HB
Explanation: Brinell hardness formula: $HB = \frac{2P}{\pi D \left(D - \sqrt{D^2 - d^2}\right)}$. Here $D = 10$, $d = 4$, $P = 3000$. $\sqrt{100 - 16} = \sqrt{84} = 9.16515$. $D - \sqrt{84} = 10 - 9.16515 = 0.83485$. Area $A_{imp} = \frac{\pi \cdot 10 \cdot 0.83485}{2} = 13.1132\text{ mm}^2$. $HB = \frac{3000}{13.1132} = 228.88\text{ kgf/mm}^2$.

About the Balearic PAU Technology & Engineering II Exam

The Balearic Islands University Entrance Examination (PAU - Proves d'Accés a la Universitat) for Technology and Engineering II (Tecnologia i Enginyeria II) is organized by the Universitat de les Illes Balears (UIB). It assesses competencies in materials science (stress-strain, hardness, phase diagrams), energy systems (Carnot, Otto, Diesel, Rankine, renewables), pneumatic and hydraulic power transmission, and digital control/PLC automation.

Exam sponsor: PAU Organising Commission of the Balearic Islands / UIB. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written 90-minute Balearic Islands PAU subject examination with constructed-response tasks. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation.

Time Limit

90 minutes (1.5 hours)

Passing Score

Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).

Exam / Certification Fees

EUR 69.21 ordinary registration fee (Access Phase); EUR 13.85 per additional Admission Phase subject paper (UIB 2026)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

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Core Subject Content

Comprehensive coverage of 2º Bachillerato syllabus topics for Balearic Islands PAU UIB 2026.

Preparing for the Balearic PAU Technology & Engineering II Exam

What You Need to Know

  • Passing score: Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).
  • Assessment: Written 90-minute Balearic Islands PAU subject examination with constructed-response tasks. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 69.21 ordinary registration fee (Access Phase); EUR 13.85 per additional Admission Phase subject paper (UIB 2026) Official sources

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Frequently Asked Questions

Are these official Balearic Islands PAU exam questions?

Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation. Use official UIB past papers and subject matrices for open-response, listening, graphic, and performance practice.

What is the format of the official Balearic Islands PAU exam?

The official PAU exam administered by UIB is a 90-minute written examination. Practice questions provided here offer MCQ practice for core topics.