Ontario Grade 12 Physics (SPH4U) curriculum and lessons

The course map includes Dynamics, Energy and Momentum, Gravitational, Electric, and Magnetic Fields, and 3 other sections. Follow the complete section list above for the full study path.

درس فیزیک پایه دوازدهم انتاریو (SPH4U) چه مباحثی دارد؟ از جمله مباحث این درس دینامیک، انرژی و تکانه، میدان‌های گرانشی، الکتریکی و مغناطیسی است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.

71 of 71 written lessons are currently published and free to read. Open a linked lesson in the section map above. Check the official Ontario curriculum for exact requirements.

درس‌ها و برنامهٔ درسی فیزیک پایه دوازدهم انتاریو را از کجا پیدا کنم؟ اکنون 71 درس از 71 درس نوشتاری منتشر شده و خواندن آن‌ها رایگان است. درس‌های دارای پیوند را در نقشهٔ بخش‌های بالا باز کنید. برای شرایط دقیق به برنامهٔ درسی رسمی انتاریو مراجعه کنید.

Two-dimensional forces, reference frames, friction, systems, and circular motion.

Work-energy reasoning, springs, impulse, collisions, explosions, and conservation laws.

Gravitational, electric, and magnetic fields, potentials, forces, and particle motion.

Diffraction, refraction, interference, polarization, colour, and electromagnetic radiation.

Photons, matter waves, quantum evidence, special relativity, and the standard model.

Physics investigations begin with questions, not conclusions. A useful question identifies something that could be observed or…

A device that applies motion transfers energy and forces to an object so that the object moves in a planned way. A conveyor belt…

Many technologies work by transferring energy, changing momentum, or controlling how quickly an object changes motion. A vehicle…

A field is a model for describing how an object can experience a force in a region around another object or source. A field can help…

A camera lens can reflect some of the light that should pass through it. Those unwanted reflections can reduce the light reaching the…

In earlier physics courses, you used models such as forces, energy, waves, and circuits to describe the world. These models remain…

A physics investigation begins before anyone takes a measurement. You must decide what question you can answer, what evidence would…

A technology is a tool or system designed to meet a need. Some technologies mainly move objects along a straight or curved path…

Plan, perform, analyse, and communicate advanced physics investigations safely, and explore related careers.

• A1.1 · Form scientific questions, predictions, and testable hypotheses (published written lesson)
• A1.2 · Choose suitable equipment, materials, methods, and procedures (published written lesson)
• A1.3 · Find appropriate print and electronic research sources (published written lesson)
• A1.4 · Plan investigations using safe laboratory practices and WHMIS (published written lesson)
• A1.5 · Conduct inquiries safely while controlling relevant variables (published written lesson)
• A1.6 · Record and organize accurate data in suitable formats (published written lesson)
• A1.7 · Organize research information and document sources (published written lesson)
• A1.8 · Analyse evidence, solve quantitative problems, and evaluate error (published written lesson)
• A1.9 · Evaluate research sources for accuracy, reliability, and bias (published written lesson)
• A1.10 · Draw and justify conclusions from inquiry and research evidence (published written lesson)
• A1.11 · Communicate physics procedures, results, and conclusions clearly (published written lesson)
• A1.12 · Use numeric, symbolic, graphical, and vector representations (published written lesson)
• A1.13 · Report calculations with suitable precision and significant figures (published written lesson)
• A2.1 · Explore advanced physics careers and required education (published written lesson)
• A2.2 · Describe contributions of physicists, including Canadians (published written lesson)

Analyse two-dimensional forces, relative motion, systems of objects, friction, and uniform circular motion.

• B1.1 · Analyse a device that applies linear or circular motion (published written lesson)
• B1.2 · Assess impacts of linear- and circular-motion technologies (published written lesson)
• B2.1 · Use terminology for frames, components, friction, and circular motion (published written lesson)
• B2.2 · Solve projectile and relative-motion problems with two-dimensional vectors (published written lesson)
• B2.3 · Solve two-dimensional force and friction problems (published written lesson)
• B2.4 · Predict and investigate forces acting on systems of objects (published written lesson)
• B2.5 · Relate system motion to its forces using free-body diagrams (published written lesson)
• B2.6 · Solve horizontal and vertical uniform-circular-motion problems (published written lesson)
• B2.7 · Investigate centripetal force, acceleration, radius, period, and speed (published written lesson)
• B3.1 · Distinguish inertial and non-inertial frames and apparent forces (published written lesson)
• B3.2 · Explain benefits and drawbacks of static and kinetic friction (published written lesson)
• B3.3 · Derive course-level uniform-circular-motion relationships (published written lesson)

Apply work, energy, impulse, momentum, and conservation laws in one and two dimensions.

• C1.1 · Analyse and improve a technology using energy and momentum (published written lesson)
• C1.2 · Assess impacts of energy- and momentum-based technologies (published written lesson)
• C2.1 · Use work, energy, impulse, momentum, and collision terminology (published written lesson)
• C2.2 · Solve one- and two-dimensional work-energy problems (published written lesson)
• C2.3 · Analyse mechanical and thermal energy systems through inquiry (published written lesson)
• C2.4 · Test conservation of energy during transformations (published written lesson)
• C2.5 · Solve momentum, impulse, mass, velocity, and kinetic-energy problems (published written lesson)
• C2.6 · Analyse elastic and inelastic collisions in one and two dimensions (published written lesson)
• C2.7 · Test conservation laws with collisions and explosions (published written lesson)
• C3.1 · Relate Hooke’s law, work, and elastic potential energy (published written lesson)
• C3.2 · Connect simple harmonic motion, Hooke’s law, and circular motion (published written lesson)
• C3.3 · Distinguish elastic and inelastic collisions (published written lesson)
• C3.4 · Explain implications of energy and momentum conservation (published written lesson)
• C3.5 · Explain how conservation laws supported the neutrino prediction (published written lesson)

Compare fields and solve problems involving gravity, charge, electric potential, and magnetic force.

• D1.1 · Analyse a technological system that uses fields (published written lesson)
• D1.2 · Assess impacts of technologies that use fields (published written lesson)
• D2.1 · Use terminology for field forces, potentials, energies, and exchange particles (published written lesson)
• D2.2 · Solve universal-gravitation and circular-orbit problems (published written lesson)
• D2.3 · Solve electric-force, field, energy, and potential problems (published written lesson)
• D2.4 · Solve magnetic-force problems for moving charges and currents (published written lesson)
• D2.5 · Investigate particle behaviour in a field (published written lesson)
• D3.1 · Compare fundamental forces in major physics models (published written lesson)
• D3.2 · Compare gravitational, electric, and magnetic fields (published written lesson)
• D3.3 · Use diagrams to compare field sources and directions (published written lesson)

Investigate diffraction, refraction, interference, polarization, colour, and electromagnetic radiation.

• E1.1 · Analyse a technology that uses the wave nature of light (published written lesson)
• E1.2 · Assess impacts of wave-optics technologies (published written lesson)
• E2.1 · Use terminology for diffraction, interference, polarization, and radiation (published written lesson)
• E2.2 · Investigate wave diffraction and interference (published written lesson)
• E2.3 · Investigate diffraction, refraction, polarization, and interference of light (published written lesson)
• E2.4 · Analyse and solve diffraction and interference problems (published written lesson)
• E3.1 · Explain two-dimensional diffraction and interference of water waves (published written lesson)
• E3.2 · Explain diffraction, refraction, polarization, and interference of light (published written lesson)
• E3.3 · Explain colour separation using wave-optics concepts (published written lesson)
• E3.4 · Describe electromagnetic radiation from an oscillating electric dipole (published written lesson)

Study evidence and course-level calculations for quantum mechanics, particle models, and special relativity.

• F1.1 · Analyse how quantum mechanics and relativity changed scientific thought (published written lesson)
• F1.2 · Assess the importance of modern physics to technology (published written lesson)
• F2.1 · Use quantum-mechanics and special-relativity terminology (published written lesson)
• F2.2 · Solve photoelectric, Compton-effect, and matter-wave problems (published written lesson)
• F2.3 · Calculate course-level time, length, and mass effects in special relativity (published written lesson)
• F2.4 · Analyse data supporting relativity or quantum theory (published written lesson)
• F3.1 · Describe evidence for the particle model of light (published written lesson)
• F3.2 · Describe evidence for the wave model of matter (published written lesson)
• F3.3 · Explain Einstein’s postulates and evidence for special relativity (published written lesson)
• F3.4 · Describe quarks, hadrons, and field particles in the standard model (published written lesson)

A car travels at 10.0 m/s around a level circular curve of radius 50.0 m. Find its centripetal acceleration.

Worked method: The acceleration points toward the centre. ac = v²/r = (10.0 m/s)²/(50.0 m) = 2.00 m/s² inward.

A 0.200 kg ball moving at +6.0 m/s rebounds at −4.0 m/s. Find the impulse on the ball.

Worked method: Choose the initial direction as positive. J = Δp = m(vf − vi) = 0.200(−4.0 − 6.0) = −2.0 N·s. The negative sign means the impulse is opposite the initial motion.

Find the energy of a 500 nm photon using h = 6.626 × 10⁻³⁴ J·s and c = 3.00 × 10⁸ m/s.

Worked method: Convert 500 nm to 5.00 × 10⁻⁷ m. E = hc/λ = 3.98 × 10⁻¹⁹ J to three significant figures.

A 2.0 kg cart moving at 3.0 m/s sticks to a stationary 1.0 kg cart. Find their common velocity.

Light of wavelength 600 nm passes through two slits separated by 0.30 mm onto a screen 2.0 m away. Find the first-order fringe distance from the centre.