100+ Free ENADE Física Practice Questions
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Sample ENADE Física Practice Questions
Try these sample questions to test your ENADE Física exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1A projectile of mass $m$ is launched vertically upward from the ground with initial velocity $v_0$ in a viscous medium experiencing linear drag $\vec{F}_{drag} = -b\vec{v}$, where $b > 0$. With gravitational acceleration $g$ directed downward, what is the terminal velocity magnitude $v_{ter}$ during free fall and the velocity function $v(t)$ during upward ascent?
2In a conservative central force field with potential $V(\vec{r}) = V(r)$, the orbital angular momentum $\vec{L} = \vec{r} \times \vec{p}$ is a conserved constant of motion. Consequently, the position vector sweeps out area at a constant rate (Kepler's Second Law). What is the magnitude of this areal velocity $\frac{dA}{dt}$ in terms of $L$ and particle mass $m$?
3A two-body isolated gravitational system consists of masses $m_1$ and $m_2$ separated by distance $r$. Transforming the dynamics to the center-of-mass frame reduces the system to a single fictitious particle of reduced mass $\mu$ moving in central potential $V(r) = -\frac{G m_1 m_2}{r}$. What are the expressions for $\mu$ and total kinetic energy $T_{CM}$ in polar coordinates $(r, \theta)$?
4A damped harmonic oscillator of mass $m$, natural undamped frequency $\omega_0$, and damping parameter $\gamma = b/(2m)$ is driven by external periodic force $F(t) = F_0 \cos(\omega t)$. What is the driving frequency $\omega_r$ that maximizes the steady-state position oscillation amplitude $A(\omega)$, assuming underdamping $\gamma < \omega_0 / \sqrt{2}$?
5A uniform thin rod of mass $M$ and length $L$ has moment of inertia $I_{CM} = \frac{1}{12}M L^2$ about its center of mass. By the Parallel Axis Theorem (Steiner's Theorem), what is the rod's moment of inertia about a perpendicular axis located at a distance $d = L/4$ from one of its ends?
6A uniform solid cylinder of mass $M$ and radius $R$ ($I_{CM} = \frac{1}{2} M R^2$) rolls without slipping down an incline of angle $\theta$ under gravity $g$. What is the linear acceleration $a_{CM}$ of its center of mass along the incline?
7Two identical blocks, each of mass $m$, are connected to fixed side walls by two outer springs of spring constant $k$, and to each other by a central coupling spring of constant $k_c$, constrained to 1D horizontal motion without friction. What are the two normal mode angular frequencies $\omega_1$ (symmetric mode) and $\omega_2$ (antisymmetric mode)?
8For a torque-free symmetric top ($I_1 = I_2 \neq I_3$) rotating about its center of mass, Euler's dynamical equations govern the angular velocity components $(\omega_1, \omega_2, \omega_3)$ in the body-fixed principal axis frame. What is the constant rate of free precession $\Omega_{prec}$ of the angular velocity vector about the symmetry axis (3-axis)?
9A simple pendulum of mass $m$ and length $l$ is suspended from a cart of mass $M$ that moves freely without friction along a horizontal $x$-axis. Taking $x$ (cart displacement) and $\theta$ (angle with vertical) as generalized coordinates, what is the correct Lagrangian $\mathcal{L}(x, \theta, \dot{x}, \dot{\theta})$ of the system?
10Given the one-dimensional Hamiltonian $\mathcal{H}(q, p) = \frac{p^2}{2m} + \frac{1}{2}m\omega^2 q^2 + \alpha q p$, where $\alpha$ is a real constant, what are Hamilton's canonical equations of motion for $\dot{q}$ and $\dot{p}$?
About the ENADE Física Exam
The Exame Nacional de Desempenho dos Estudantes (ENADE) for Physics (Física — Bacharelado e Licenciatura) is Brazil's mandatory national capstone examination established under the Sistema Nacional de Avaliação da Educação Superior (SINAES, Lei nº 10.861/2004) and administered by INEP under the Ministry of Education (MEC). Designed to assess graduating seniors (concluintes) in Physics, ENADE evaluates comprehensive theoretical knowledge, mathematical formulation, laboratory experimentation, and pedagogical foundations aligned with the National Curriculum Guidelines (DCNs) and recommendations from the Brazilian Physical Society (SBF). In 2026, INEP established differentiated evaluation frameworks: Bacharelado students take a 4-hour written test comprising 15 Formação Geral MCQs, 30 Specific Component MCQs, and 1 discursive problem; Licenciatura candidates take the 5h30 Prova Nacional de Docência (PND) comprising 30 General MCQs, 50 Specific MCQs, and 1 discursive item, complemented by a mandatory practical teaching assessment (Avaliação Prática da Licenciatura). This question bank provides an adapted 100-item practice curriculum in English covering all six core content areas: Classical Mechanics & Relativity, Electromagnetism & Optics, Thermodynamics & Statistical Physics, Quantum & Modern Physics, Experimental Physics & Instrumentation, and Physics Teaching & Pedagogy.
Assessment
Bacharelado: 4 hours (15 General MCQs + 30 Specific MCQs + 1 Discursive) | Licenciatura PND: 5h30 (30 General MCQs + 50 Specific MCQs + 1 Discursive + Practical Evaluation)
Time Limit
4 hours (Bacharelado) / 5h30 (Licenciatura PND)
Passing Score
Conceito Enade (1 to 5)
Exam Fee
Free (Gratuito) (INEP — Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira / MEC)
ENADE Física Exam Content Outline
Mecânica Clássica e Relatividade
Newtonian dynamics with viscous and quadratic drag forces, conservation of linear momentum, angular momentum, and mechanical energy, central force motion and Kepler's laws, two-body problem and reduced mass, Lagrangian and Hamiltonian mechanics (generalized coordinates, Euler-Lagrange equations, canonical momentum, Hamilton equations, Poisson brackets), small oscillations and coupled normal modes, rigid body dynamics (inertia tensor, principal axes, Euler angles, Euler equations of motion), and Special Relativity (Lorentz transformations, relativistic momentum-energy invariant relation, longitudinal Doppler effect, four-momentum collisions, and particle threshold energies).
Eletromagnetismo e Óptica
Electrostatics: Poisson and Laplace equations, method of image charges, multipole expansion of electrostatic potential, boundary conditions at dielectric and conductor interfaces, energy in electrostatic fields; Magnetostatics: Biot-Savart law, Ampère's circuital law, magnetic vector potential; Electrodynamics: Faraday's law of induction, motional EMF, Maxwell's displacement current, Maxwell's equations in vacuum and matter, Poynting vector and electromagnetic energy conservation, gauge transformations (Lorentz and Coulomb gauges), electromagnetic wave propagation in conductors and skin depth, rectangular waveguides, dipole radiation; Geometric and physical optics: reflection, refraction, Brewster's angle, Malus's law, thin-film interference, double-slit interference with diffraction envelope, and diffraction gratings.
Termodinâmica e Física Estatística
Classical thermodynamics: First, Second, and Third Laws, Carnot cycle and thermodynamic efficiency, entropy calculation in reversible and irreversible processes (free adiabatic expansion), thermodynamic potentials (Internal Energy, Enthalpy, Helmholtz Free Energy, Gibbs Free Energy), Maxwell relations and thermodynamic identities, Joule-Thomson effect and inversion temperature, Clausius-Clapeyron equation for phase transitions; Kinetic theory of gases: equipartition of energy, Maxwell-Boltzmann velocity distribution; Statistical mechanics: microcanonical, canonical, and grand canonical ensembles, partition functions, quantum statistics of ideal gases (Fermi-Dirac distribution, Fermi energy, degenerate electron gas; Bose-Einstein distribution, Bose-Einstein condensation), Planck's blackbody radiation law, and heat capacity models of solids (Einstein and Debye models).
Física Quântica e Moderna
Foundations of quantum mechanics: photoelectric effect, Compton scattering, de Broglie matter waves, Heisenberg uncertainty principle; Wave mechanics: time-dependent and time-independent Schrödinger equations, probability density and current; One-dimensional quantum systems: infinite potential well, rectangular potential step and barrier penetration (tunneling), harmonic oscillator (ladder operator method, zero-point energy); Three-dimensional systems: central potential, hydrogen atom wavefunctions, quantum numbers ($n, l, m_l$), energy spectra; Angular momentum: orbital angular momentum algebra, spin-1/2 algebra, Pauli spin matrices, addition of angular momenta; Approximation methods: non-degenerate time-independent perturbation theory; Many-particle systems: identical particles, bosons and fermions, Pauli exclusion principle; Atomic, nuclear, and solid state physics: Zeeman effect, semi-empirical mass formula (Weizsäcker), radioactive decay laws, and energy band theory in solids (Kronig-Penney model).
Física Experimental e Instrumentação
Theory of measurement and metrology: ISO/GUM guidelines, Type A and Type B standard uncertainties, combined and expanded uncertainty, Gaussian error propagation for multivariable functions, least-squares linear and non-linear regression analysis, significant figures and scientific reporting; Laboratory instrumentation: digital and analog oscilloscopes (triggering, time base, bandwidth, Lissajous figures), digital multimeters (True RMS vs average rectification, input impedance loading), DC/AC bridge circuits (Wheatstone and Kelvin double bridge for low resistance), lock-in amplifiers and phase-sensitive signal recovery, optical interferometers (Michelson, Fabry-Pérot finesse and free spectral range), nuclear radiation detectors (Geiger-Müller counter dead time correction), Hall effect magnetometers, and semiconductor photodetectors.
Ensino de Física e Formação Docente
Pedagogical content knowledge and physics didactics: Didactic Transposition Theory (Yves Chevallard) from scholarly knowledge to taught knowledge, identification and remediation of common spontaneous misconceptions (Aristotelian impetus concepts in mechanics, electric current consumption models in circuits, conflation of heat and temperature); Inquiry-based physics teaching (Ensino de Física por Investigação - EnFI) and investigative learning sequences (SEI); Epistemology and history of science in physics education (epistemological obstacles of Gaston Bachelard, paradigm shifts and scientific revolutions of Thomas Kuhn, falsificationism of Karl Popper, Galilean experimental method); National Curricular Common Base (BNCC) competencies and abilities for Natural Sciences in Secondary Education; Active learning methodologies (Peer Instruction by Eric Mazur, ConceptTests, collaborative problem solving); Formative vs summative assessment strategies; Meaningful Learning Theory (David Ausubel) and concept mapping (Marco Antonio Moreira); and integration of Socio-Scientific Issues (QSC) in physics literacy.
How to Pass the ENADE Física Exam
What You Need to Know
- Passing score: Conceito Enade (1 to 5)
- Assessment: Bacharelado: 4 hours (15 General MCQs + 30 Specific MCQs + 1 Discursive) | Licenciatura PND: 5h30 (30 General MCQs + 50 Specific MCQs + 1 Discursive + Practical Evaluation)
- Time limit: 4 hours (Bacharelado) / 5h30 (Licenciatura PND)
- Exam fee: Free (Gratuito)
Keys to Passing
- Work through all 100 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- Use our AI tutor for tough concepts
ENADE Física Study Tips from Top Performers
Frequently Asked Questions
What is the official structure and duration of ENADE Física in 2026?
In 2026, INEP established differentiated structures for Physics: Bacharelado students complete a 4-hour written examination consisting of 15 Formação Geral MCQs, 30 Specific Component MCQs, and 1 specific discursive problem. Licenciatura students participate in the 5h30 Prova Nacional de Docência (PND) comprising 30 General MCQs, 50 Specific MCQs, and 1 discursive question, accompanied by a separate mandatory practical teaching assessment (Avaliação Prática da Licenciatura).
Is participation in ENADE mandatory for graduating Physics undergraduates?
Yes. Under Federal Law nº 10.861/2004 (SINAES), ENADE is a mandatory curricular component for all registered graduating senior students (concluintes) in Physics (Bacharelado and Licenciatura). Attendance at the examination and timely submission of the electronic Student Questionnaire (Questionário do Estudante) are legal prerequisites for degree conferral and diploma registration.
How are the 100 questions in this practice question bank structured?
This practice bank provides an English-language adaptation containing exactly 100 rigorous multiple-choice questions aligned with INEP guidelines: Classical Mechanics & Relativity (20 items), Electromagnetism & Optics (20 items), Thermodynamics & Statistical Physics (15 items), Quantum & Modern Physics (15 items), Experimental Physics & Instrumentation (15 items), and Physics Teaching & Pedagogy (15 items). Each question includes four plausible options, a balanced answer key, and comprehensive mathematical and pedagogical explanations.
How are individual and institutional scores calculated from ENADE?
Individual student test scores are standardized and combined with the Socioeconomic Questionnaire to compute institutional indicators: Conceito Enade (a 1 to 5 scale assessing average performance), IDD (Indicador de Diferença entre os Desempenhos Observado e Esperado, measuring undergraduate value-added), and CPC (Conceito Preliminar de Curso), which dictate national program accreditation.
What happens if a graduating senior fails to attend ENADE?
Students who miss the exam without INEP-approved justification become 'irregular' under SINAES regulations, which legally prohibits the university from issuing their undergraduate diploma. The student must submit a formal dispensation request (pedido de dispensa) with official documentary evidence during the INEP window or wait for institutional regularização in the subsequent evaluation cycle.