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Free Practice Questions for Castilla-La Mancha PAU Physics (Física - UCLM 2026)

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Key Facts: Castilla-La Mancha PAU Physics (Física - UCLM 2026) Exam

UCLM 2026

University of Castilla-La Mancha PAU Tribunal authority

UCLM PAU Regulations

90 Mins

Official examination time limit

UCLM PAU Schedule

5 Blocks

Gravitation, Electromagnetism, Waves/Optics, Relativity/Quantum, Nuclear Physics

2º Bachillerato Physics Syllabus

Min 4.0

Minimum Access Phase score required for university admission mark calculation

UCLM Admission Regulations

100

Practice questions with worked solutions in OpenExamPrep

OpenExamPrep

The UCLM PAU 2026 Physics examination evaluates conceptual understanding and worked quantitative calculation skills across 5 core physics domains in a 90-minute paper. This English-language multiple-choice bank is a study adaptation of the official written PAU paper, not a replica of it.

Sample Castilla-La Mancha PAU Physics (Física - UCLM 2026) Practice Questions

Try these sample questions to review concepts for the Castilla-La Mancha PAU Physics (Física - UCLM 2026) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Two point masses of 500 kg and 800 kg are separated by a distance of 2.0 m. What is the magnitude of the gravitational attraction force between them? (Data: G = 6.67×10⁻¹¹ N·m²/kg²)
A.1.33×10⁻5 N
B.6.67×10⁻⁶ N
C.3.34×10⁻6 N
D.2.67×10⁻5 N
Explanation: Applying Newton's law of universal gravitation: F = G · (m₁ · m₂) / r² = 6.67×10⁻¹¹ · (500 · 800) / (2.0)² = 6.67×10⁻¹¹ · 400 000 / 4 = 6.67×10⁻⁶ N.
2A satellite of mass m describes a circular orbit of radius r = 2 R_T around the Earth (mass M_T). What is the expression for its orbital velocity v_o?
A.v_o = √(G · M_T / R_T)
B.v_o = √(G · M_T / (2 R_T))
C.v_o = √(2 G · M_T / R_T)
D.v_o = G · M_T / (2 R_T²)
Explanation: Equating the gravitational force to the centripetal force: G · M_T · m / r² = m · v_o² / r ⇒ v_o = √(G · M_T / r). Substituting r = 2 R_T gives v_o = √(G · M_T / (2 R_T)).
3Calculate the escape velocity from the surface of a planet of mass M = 4.0×10²⁴ kg and radius R = 5.0×10⁶ m. (Data: G = 6.67×10⁻¹¹ N·m²/kg²)
A.7.31 km/s
B.5.17 km/s
C.14.62 km/s
D.10.33 km/s
Explanation: The escape velocity is v_e = √(2 G M / R) = √(2 · 6.67×10⁻¹¹ · 4.0×10²⁴ / 5.0×10⁶) = √(1.0672×10⁸) ≈ 10 330 m/s = 10.33 km/s.
4According to Kepler's third law, if the period of revolution of a planet A at a distance r from the Sun is 1.0 year, what will be the period of a planet B located at a distance 4r from the Sun?
A.8.0 years
B.16.0 years
C.2.0 years
D.4.0 years
Explanation: According to Kepler's 3rd law, T² / r³ = constant. For planet B: T_B² / (4r)³ = T_A² / r³ ⇒ T_B² = 64 · T_A² ⇒ T_B = √64 · T_A = 8.0 years.
5A body of 100 kg mass is moved from a point A where the gravitational potential is V_A = -5.0×10⁷ J/kg to a point B where V_B = -2.0×10⁷ J/kg. What work does the gravitational field do?
A.-7.0×10⁹ J
B.+3.0×10⁹ J
C.-3.0×10⁹ J
D.+7.0×10⁹ J
Explanation: The work done by a conservative force such as the gravitational field is W_field = -ΔE_p = -m · (V_B - V_A) = -100 · (-2.0×10⁷ - (-5.0×10⁷)) = -100 · (3.0×10⁷) = -3.0×10⁹ J.
6What is the relationship of the work done by the gravitational force when displacing a mass between two points on an equipotential surface?
A.It is maximum and positive
B.It is maximum and negative
C.It is zero, since the potential difference between the two points is null
D.It depends on the path taken between the two points
Explanation: An equipotential surface is defined as the locus of points where the potential V is constant. Since W = -m ΔV and ΔV = 0, the work done by the gravitational field is zero.
7If the Earth's radius is R_T and the acceleration of gravity at the surface is g₀ = 9.80 m/s², at what height h above the Earth's surface is the acceleration of gravity reduced to g₀ / 4?
A.h = R_T
B.h = 2 R_T
C.h = 0.5 R_T
D.h = 3 R_T
Explanation: The field intensity at height h is g(h) = G M_T / (R_T + h)² = g₀ · [R_T / (R_T + h)]². For g(h) = g₀ / 4: [R_T / (R_T + h)]² = 1/4 ⇒ R_T / (R_T + h) = 1/2 ⇒ R_T + h = 2 R_T ⇒ h = R_T.
8A satellite of mass m = 200 kg orbits at a height h = R_T above the Earth's surface (where R_T = 6.37×10⁶ m and M_T = 5.97×10²⁴ kg). What is the total mechanical energy E_m of the satellite? (G = 6.67×10⁻¹¹ N·m²/kg²)
A.-6.25×10⁹ J
B.+3.13×10⁹ J
C.-3.13×10⁹ J
D.-1.25×10¹⁰ J
Explanation: The orbital radius is r = R_T + h = 2 R_T = 1.274×10⁷ m. The mechanical energy of a satellite in circular orbit is E_m = -G M_T m / (2r) = - (6.67×10⁻¹¹ · 5.97×10²⁴ · 200) / (2 · 1.274×10⁷) = - (7.964×10¹⁶) / (2.548×10⁷) ≈ -3.13×10⁹ J.
9Kepler's second law (law of areas) is a direct consequence of the conservation of a fundamental physical quantity. Which quantity is it?
A.The angular momentum of the planet about the center of the Sun
B.The linear momentum of the planet
C.The kinetic energy of the planet
D.The gravitational potential of the system
Explanation: Since the gravitational force is a central force (its moment M = r × F = 0), the areal velocity is constant, which directly expresses the conservation of angular momentum L = r × p = constant.
10What height above the Earth's surface must the orbit of a geostationary satellite have so that its period is T = 24 hours (86 400 s)? (Data: M_T = 5.97×10²⁴ kg, R_T = 6370 km, G = 6.67×10⁻¹¹ N·m²/kg²)
A.42 200 km
B.20 200 km
C.6 370 km
D.35 800 km
Explanation: From T² = (4π² / (G M_T)) · r³: r³ = G M_T T² / (4π²) = (6.67×10⁻¹¹ · 5.97×10²⁴ · 86400²) / (39.478) ≈ 7.54×10²² m³ ⇒ r ≈ 42 200 km. The height h = r - R_T = 42 200 - 6 370 = 35 830 km ≈ 35 800 km.

About the Castilla-La Mancha PAU Physics (Física - UCLM 2026) Exam

The Castilla-La Mancha PAU Physics (Física - UCLM 2026) practice question bank provides rigorous preparation for students preparing for the Spanish university entrance exam in Castilla-La Mancha. Aligned with the 2º Bachillerato Physics curriculum, this 100-question set features complete worked numerical solutions and conceptual questions across Gravitational Field & Celestial Mechanics (20%), Electromagnetic Field & Induction (25%), Wave Motion & Optics (25%), Relativistic Physics & Quantum Mechanics (15%), and Nuclear Physics & Fundamental Interactions (15%).

Exam sponsor: University of Castilla-La Mancha PAU Tribunal. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

90-minute examination consisting of theoretical conceptual questions and quantitative physics numerical problems across 5 core topic blocks.

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 Access Phase >= 5.0 to pass).

Exam / Certification Fees

EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha).

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.

20%

Gravitational Field & Celestial Mechanics

Newton's law of universal gravitation, gravitational field intensity and potential, orbital velocity, Kepler's laws, escape velocity, and satellite dynamics.

25%

Electromagnetic Field & Induction

Coulomb's law, electrostatic potential and field, magnetic force on charges and conductors, Biot-Savart and Ampère laws, Faraday-Lenz law of electromagnetic induction, and induced electromotive force.

25%

Wave Motion & Optics

Harmonic wave equation, intensity and sound level, wave interference, standing waves, Snell's law of refraction, total internal reflection, polarization, and thin lens image formation.

15%

Relativistic Physics & Quantum Mechanics

Special relativity postulates, time dilation, length contraction, relativistic energy, photoelectric effect, photon energy, and de Broglie matter waves.

15%

Nuclear Physics & Fundamental Interactions

Mass defect, nuclear binding energy per nucleon, law of radioactive decay, half-life and activity, alpha/beta/gamma decays, nuclear fission and fusion.

Preparing for the Castilla-La Mancha PAU Physics (Física - UCLM 2026) 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 Access Phase >= 5.0 to pass).
  • Assessment: 90-minute examination consisting of theoretical conceptual questions and quantitative physics numerical problems across 5 core topic blocks.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Castilla-La Mancha PAU Physics (Física - UCLM 2026): Suggested Study Strategy

1Practice multi-step numerical calculations with standard physical constants: G = 6.674×10⁻¹¹ N·m²/kg², c = 3.0×10⁸ m/s, e = 1.602×10⁻¹⁹ C, h = 6.626×10⁻³⁴ J·s, and 1 u = 931.5 MeV.
2Always write down formulas, vector components, SI units, and explicit intermediate numerical steps in calculation questions.
3Review electromagnetic induction applications (Faraday-Lenz law E = -dPhi/dt) and magnetic forces on moving charges (F = qvB sin theta).
4Master Snell's law (n1 sin theta1 = n2 sin theta2), critical angle determination, and thin lens equations (1/f = 1/s' - 1/s or equivalent convention).

Frequently Asked Questions

What is the fee for taking the PAU exam in Castilla-La Mancha (UCLM 2026)?

The base registration fee for the PAU Access Phase is EUR 52.99, as set by Universidad de Castilla-La Mancha.

What passing score is required on the PAU Physics exam in Castilla-La Mancha?

The exam is marked on a 0-10 scale. A minimum of 4.0 in the Access Phase is required to combine with the Bachillerato GPA (60% Bachillerato + 40% PAU Access Phase >= 5.0 to pass).

What is the time limit for the UCLM PAU Physics paper?

The duration of the examination is 90 minutes (1.5 hours).

Which topics are covered in the UCLM PAU Physics examination?

The paper covers five core areas: Gravitational Field & Celestial Mechanics (20%), Electromagnetic Field & Induction (25%), Wave Motion & Optics (25%), Relativistic Physics & Quantum Mechanics (15%), and Nuclear Physics & Fundamental Interactions (15%).

Is this practice bank in the same format as the real Castilla-La Mancha PAU Physics exam?

No. The official Castilla-La Mancha PAU Physics paper is a 90-minute written examination in Spanish consisting of open-ended, semi-constructed, and short-answer questions — not multiple choice. This bank is an English-language multiple-choice adaptation designed to test and reinforce the core concepts and skills of the 2º Bachillerato curriculum.