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Key Facts: PAU Physics (Aragón) Exam

90 min

Time Limit

UNIZAR / Comisión PAU Aragón

0–10

Grading Scale

Gobierno de Aragón

4.0

Min. Access Phase Mark

PAU Regulations

EUR 75.00

Ordinary Registration Fee

UNIZAR PAU inscription page 2026

100

Practice Questions

English Study Adaptation

The Aragón PAU Physics (Física) exam is a 90-minute examination set by the PAU Organising Commission of Aragón / UNIZAR with a registration fee of EUR 75.00 (Access Phase base fee). Grades are awarded on a 0–10 scale, with a minimum 4.0 required to average with high school GPA. This study portal provides an English-language MCQ study adaptation featuring 100 practice questions with real calculations covering all official curriculum modules.

Sample PAU Physics (Aragón) Practice Questions

Try these sample questions to review concepts for the PAU Physics (Aragón) 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 m1 = 2000 kg and m2 = 5000 kg are separated by a distance of r = 5.0 m in a vacuum. Using Newton's Law of Universal Gravitation with G = 6.67 x 10^-11 N m^2/kg^2, what is the magnitude of the gravitational force between them?
A.1.33 x 10^-4 N
B.5.34 x 10^-6 N
C.2.67 x 10^-7 N
D.2.67 x 10^-5 N
Explanation: Applying Newton's law of universal gravitation: F = G * m1 * m2 / r^2 = (6.67 x 10^-11) * (2000) * (5000) / (5.0)^2 = (6.67 x 10^-11) * (1.0 x 10^7) / 25 = 2.668 x 10^-5 N.
2If the gravitational field strength at Earth's surface is g0 = 9.80 N/kg, what is the field strength g at an altitude h = 2 R_E above Earth's surface, where R_E is Earth's radius?
A.3.27 N/kg
B.2.45 N/kg
C.4.90 N/kg
D.1.09 N/kg
Explanation: The distance from Earth's center is r = R_E + h = R_E + 2 R_E = 3 R_E. Since g = G M_E / r^2, g = G M_E / (3 R_E)^2 = g0 / 9 = 9.80 / 9 = 1.089 N/kg.
3A satellite moves in a circular orbit around Earth at an altitude h = R_E equal to Earth's radius (R_E = 6.37 x 10^6 m). Taking g0 = 9.80 m/s^2 at the surface, what is the satellite's orbital speed?
A.5.59 km/s
B.11.2 km/s
C.3.95 km/s
D.7.91 km/s
Explanation: At radial distance r = 2 R_E, centripetal force equals gravitational force: m v^2 / r = G M_E m / r^2 => v = sqrt(G M_E / r) = sqrt(g0 R_E^2 / (2 R_E)) = sqrt(g0 R_E / 2) = sqrt(9.80 * 6.37 x 10^6 / 2) = sqrt(3.1213 x 10^7) = 5587 m/s = 5.59 km/s.
4Given the Moon's mass M_M = 7.35 x 10^22 kg and radius R_M = 1.74 x 10^6 m, what is the escape velocity from the lunar surface? (G = 6.67 x 10^-11 N m^2/kg^2)
A.2.37 km/s
B.3.35 km/s
C.4.74 km/s
D.1.68 km/s
Explanation: Escape velocity is v_esc = sqrt(2 G M / R) = sqrt(2 * 6.67 x 10^-11 * 7.35 x 10^22 / 1.74 x 10^6) = sqrt(5.6356 x 10^6) = 2374 m/s = 2.37 km/s.
5What is the gravitational potential energy of a 500 kg satellite in a circular orbit of radius r = 1.28 x 10^7 m around Earth? (M_E = 5.97 x 10^24 kg, G = 6.67 x 10^-11 N m^2/kg^2)
A.-3.11 x 10^10 J
B.-7.78 x 10^9 J
C.+1.56 x 10^10 J
D.-1.56 x 10^10 J
Explanation: Gravitational potential energy is E_p = -G M_E m / r = -(6.67 x 10^-11 * 5.97 x 10^24 * 500) / (1.28 x 10^7) = -(1.991 x 10^17) / (1.28 x 10^7) = -1.555 x 10^10 J.
6Planet A orbits a star with radius r_A and orbital period T_A = 1.0 year. Planet B orbits the same star at a radius r_B = 4.0 r_A. According to Kepler's Third Law, what is planet B's orbital period?
A.4.0 years
B.16.0 years
C.8.0 years
D.2.0 years
Explanation: Kepler's Third Law states T^2 / r^3 = constant. Thus (T_B / T_A)^2 = (r_B / r_A)^3 = 4.0^3 = 64. Taking square roots gives T_B / T_A = 8.0, so T_B = 8.0 years.
7What is the total mechanical energy of a satellite of mass m = 1000 kg orbiting Earth in a circular path of radius r = 2.0 x 10^7 m? (M_E = 5.97 x 10^24 kg, G = 6.67 x 10^-11 N m^2/kg^2)
A.-4.98 x 10^9 J
B.-9.95 x 10^9 J
C.-1.99 x 10^10 J
D.+9.95 x 10^9 J
Explanation: Total mechanical energy of a circular orbit is E = K + E_p = -G M_E m / (2 r) = -(6.67 x 10^-11 * 5.97 x 10^24 * 1000) / (2 * 2.0 x 10^7) = -3.982 x 10^17 / 4.0 x 10^7 = -9.955 x 10^9 J.
8At what distance from Earth's center along the Earth-Moon line is the net gravitational field intensity equal to zero? (Earth mass M_E = 81 M_M, distance D between centers = 3.84 x 10^8 m)
A.3.46 x 10^8 m
B.1.92 x 10^8 m
C.3.07 x 10^8 m
D.3.70 x 10^8 m
Explanation: Setting field magnitudes equal: G M_E / x^2 = G M_M / (D - x)^2 => 81 / x^2 = 1 / (D - x)^2. Taking square roots: 9 / x = 1 / (D - x) => 9 D - 9 x = x => 10 x = 9 D => x = 0.9 D = 0.9 * 3.84 x 10^8 = 3.456 x 10^8 m.
9What is the orbital radius of a geostationary satellite around Earth with period T = 24 hours (86,400 s)? (M_E = 5.97 x 10^24 kg, G = 6.67 x 10^-11 N m^2/kg^2)
A.4.22 x 10^7 m
B.3.58 x 10^7 m
C.6.37 x 10^6 m
D.1.28 x 10^8 m
Explanation: Using Kepler's Third Law r^3 = G M_E T^2 / (4 pi^2) = (6.67 x 10^-11 * 5.97 x 10^24 * 86400^2) / (39.478) = 2.973 x 10^24 / 39.478 = 7.53 x 10^22 m^3. Taking cube root: r = 4.22 x 10^7 m (42,200 km).
10What altitude above Earth's surface corresponds to a geostationary orbit? (Earth radius R_E = 6.37 x 10^6 m, geostationary radius r = 4.22 x 10^7 m)
A.4.22 x 10^7 m
B.3.58 x 10^7 m
C.2.58 x 10^7 m
D.1.79 x 10^7 m
Explanation: Altitude h is the distance from Earth's surface: h = r - R_E = 4.22 x 10^7 m - 0.637 x 10^7 m = 3.583 x 10^7 m (35,830 km).

About the PAU Physics (Aragón) Exam

The Aragón PAU Physics (Física) exam is the official standardized university entrance examination for 2nd Bachillerato students in Aragón, Spain, administered under the authority of the PAU Organising Commission of Aragón and UNIZAR. Note: The questions provided in this practice bank are an English-language multiple-choice study adaptation designed to help students master core physical principles, calculations, and concepts for the Aragón PAU 2026 Physics curriculum (Física 2º Bachillerato). The exam evaluates competence across gravitational fields, electrostatics, magnetostatics, electromagnetic induction, wave mechanics, geometrical and physical optics, special relativity, photoelectric effect, and nuclear physics.

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

Assessment

Written examination consisting of open-ended problem solving and theoretical questions divided into optional blocks (adapted here into 100 multiple-choice practice questions).

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 75.00 ordinary registration fee (Access Phase plus two voluntary subjects); EUR 30.93 per additional voluntary subject (UNIZAR 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.

20%

Gravitational Field

Gravitational force, field intensity vector, gravitational potential energy, conservative fields, satellite speed, orbital period, escape velocity, and Kepler's third law.

18%

Electric Field

Coulomb's law, electric field intensity, electrostatic potential, electric potential energy, Gauss's law, work done by electric force, and charged particle motion in electric fields.

20%

Magnetic Field and Electromagnetic Induction

Magnetic force on moving charges (Lorentz force) and current conductors, Biot-Savart law, parallel currents, magnetic flux, Faraday-Lenz law of induction, and induced electromotive force.

24%

Wave Motion and Geometrical & Physical Optics

Harmonic wave parameters (amplitude, wavelength, frequency, wave number), wave energy, sound intensity levels in decibels, Snell's law of refraction, total internal reflection, thin lens equations, image formation, and optical instruments.

18%

Special Relativity, Quantum & Nuclear Physics

Postulates of special relativity, time dilation, relativistic energy, photon energy, work function, photoelectric threshold, de Broglie wavelength, mass defect, binding energy per nucleon, and radioactive decay kinetics.

Preparing for the PAU Physics (Aragón) 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 examination consisting of open-ended problem solving and theoretical questions divided into optional blocks (adapted here into 100 multiple-choice practice questions).
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 75.00 ordinary registration fee (Access Phase plus two voluntary subjects); EUR 30.93 per additional voluntary subject (UNIZAR 2026) 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

PAU Physics (Aragón): Suggested Study Strategy

1Master vector notation and signs for gravitational and electric fields, ensuring you correctly determine field direction and potential scalar values.
2Memorize key physical constants (G = 6.67 x 10^-11 N m^2/kg^2, c = 3.00 x 10^8 m/s, e = 1.60 x 10^-19 C, h = 6.63 x 10^-34 J s).
3Practice multi-step orbital calculations including escape velocity, satellite speed, energy conservation, and Kepler's third law (T^2/r^3).
4Understand the direction of induced current using Lenz's law ('nature opposes change in flux') and apply Faraday's law (EMF = -dPhi/dt).
5Become proficient in Snell's law (n1 sin theta1 = n2 sin theta2) and calculating critical angles for total internal reflection (sin theta_c = n2/n1).
6For optics, strictly follow sign conventions for focal length and distances when using the thin lens equation (1/f = 1/s' - 1/s or 1/f = 1/d_o + 1/d_i).
7Master photoelectric effect equations: E_photon = hf = W_0 + E_k,max, and understand stopping potential (E_k,max = e V_s).
8Calculate mass defect Delta m = [Z m_p + (A-Z) m_n] - m_nucleus and binding energy E_b = Delta m * c^2 accurately, converting between atomic mass units (u) and MeV.

Frequently Asked Questions

What is the format of the Aragón PAU Physics exam?

The official Aragón PAU Physics exam is a 90-minute written examination consisting of problem-solving exercises and theoretical conceptual questions in Spanish. The question bank on this website is an English-language multiple-choice study adaptation designed to build calculation fluency and conceptual mastery for the official curriculum.

Who sets the PAU Physics exam in Aragón?

The exam is coordinated by the Comisión Organizadora de la PAU en Aragón and administered by the Universidad de Zaragoza (UNIZAR) across examination venues in Zaragoza, Huesca, and Teruel.

How is the PAU Physics score calculated?

The exam is graded on a scale from 0 to 10 points. In the Access Phase (Fase de Acceso), a minimum mark of 4.0 out of 10 is required. The overall admission mark combines 60% Bachillerato GPA and 40% PAU Access Phase mark (must be >= 5.0). In the Voluntary Phase (Fase de Admisión), students can gain up to 4 additional points depending on university degree weighting parameters (typically 0.2 per subject).

What calculators are allowed in the Aragón PAU Physics exam?

Students may use scientific, non-programmable calculators that do not have graphic display capabilities, text storage, or networking functions, in accordance with the official rules published annually by UNIZAR.

Are these practice questions identical to the official exam?

These 100 questions are an English-language MCQ study adaptation based on the official 2026 2nd Bachillerato Physics curriculum in Aragón. While the official exam features open-ended written problems in Spanish, these questions mirror the mathematical and physical concepts, constants, and problem types required for success.