Schleswig-Holstein Abitur Physics flashcards
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- Centripetal acceleration
- For uniform circular motion a_z = v²/r = ω²·r, directed toward the centre. It changes only the direction of velocity, not its magnitude, so no work is done.
- Newton's second law
- The resultant force on a body equals mass times acceleration, F_res = m·a. Force and acceleration are parallel; constant force gives constant acceleration, not constant velocity.
- Conservation of momentum
- In a system with no external net force the total momentum p = Σm·v stays constant. This holds in all collisions, elastic or inelastic, and in explosions.
- Kepler's third law
- For circular orbits the period satisfies T² ∝ r³, since G·M/r² = 4π²·r/T². The constant depends only on the mass of the central body.
- Elastic collision
- A collision in which both momentum and kinetic energy are conserved. In inelastic collisions momentum is still conserved, but part of the kinetic energy becomes deformation, heat or sound.
- Coulomb's law
- The force between two point charges is F = (1/4πε₀)·q₁·q₂/r², attractive for opposite and repulsive for like charges. Doubling the distance reduces the force to one quarter.
- Lorentz force
- A charge q in fields E and B experiences F = q·(E + v×B). The magnetic part is perpendicular to velocity, does no work and only curves the path.
- Radius in magnetic field
- A charge moving perpendicular to a uniform B field follows a circle with r = m·v/(q·B). The period T = 2π·m/(q·B) does not depend on the speed.
- Law of induction
- The induced voltage equals the negative rate of change of magnetic flux: U_ind = −N·dΦ/dt. The minus sign is Lenz's law: the effect opposes its cause.
- Lenz's law
- The induced current is directed so that its magnetic field opposes the change of flux that produced it. This follows from energy conservation and explains braking effects.
- Harmonic oscillator period
- For a mass on a spring T = 2π·√(m/D); for a pendulum of length l, T = 2π·√(l/g) at small angles. The period is independent of amplitude.
- Double-slit interference
- Two coherent sources give maxima at path difference Δs = n·λ and minima at (n + ½)·λ. The fringe spacing on a distant screen is Δy = a·λ/d.
- Diffraction grating
- Many parallel slits produce sharp principal maxima at sin(θ_n) = n·λ/d. More slits sharpen the maxima, which allows precise wavelength measurement.
- Total internal reflection
- Light travelling from a denser to a less dense medium is fully reflected above the critical angle with sin(α_c) = n₂/n₁. This is the basis of optical fibres.
- Standing wave condition
- A string fixed at both ends supports wavelengths λ_n = 2l/n with frequencies f_n = n·f₁. Nodes are λ/2 apart and do not move; antinodes oscillate with maximum amplitude.
- Photon energy
- A photon carries E = h·f = h·c/λ, with h ≈ 6.626·10⁻³⁴ J·s. Higher frequency means more energy per photon; intensity means more photons per second.
- Photoelectric equation
- E_kin,max = h·f − W_A. Emission requires f above the threshold f_G = W_A/h; the maximum kinetic energy depends on frequency, not on intensity.
- de Broglie wavelength
- Every particle has wavelength λ = h/p = h/(m·v). Electron diffraction on crystals confirms this wave nature for matter.
- Bohr energy levels
- Hydrogen levels are E_n = −13.6 eV/n². A transition between levels emits or absorbs a photon with h·f = |E_n − E_m|, giving discrete spectral lines.
- Half-life
- The time after which half of the radioactive nuclei remain: T₁/₂ = ln2/λ. After n half-lives the remaining fraction is (½)^n; it does not depend on the initial amount.
- Beta-minus decay
- A neutron converts to a proton: n → p + e⁻ + ν̄. The mass number A stays the same, the atomic number Z increases by one, and an antineutrino is emitted.
- Mass defect
- The mass of a nucleus is less than the sum of its nucleons; Δm = Σm_nucleons − m_nucleus. The binding energy is Δm·c², about 931.5 MeV per atomic mass unit.
- Binding energy per nucleon
- The binding energy divided by the mass number A. It peaks near A ≈ 56, so fusion of light nuclei and fission of heavy nuclei both release energy.
- Activity and becquerel
- Activity A = λ·N is the number of decays per second, measured in becquerel (1 Bq = 1/s). It decreases exponentially with the same half-life as the number of nuclei.
- Lorentz factor
- γ = 1/√(1 − v²/c²), always at least 1. It grows strongly as v approaches c; at v = 0.8·c, γ ≈ 1.67.
- Time dilation
- A moving clock runs slow: Δt = γ·Δt₀, where Δt₀ is the proper time measured in the clock's rest frame. The effect is symmetric between inertial observers.
- Length contraction
- A moving object is shortened along its direction of motion: l = l₀/γ, where l₀ is the proper length in its rest frame. Perpendicular dimensions are unchanged.
- Relativistic energy-momentum relation
- E² = (p·c)² + (m·c²)². For a particle at rest E₀ = m·c²; for photons m = 0, so E = p·c.
- Systematic error
- A one-directional deviation caused by the apparatus or method, such as a zero offset or calibration fault. Repeating measurements does not reduce it; it requires correction or recalibration.
- Linearising a graph
- Transforming data so the expected relation becomes a straight line, e.g. T² against l for a pendulum. The slope then yields the constant and the intercept reveals systematic offsets.
- Uncertainty of the mean
- For n repeated measurements the mean has standard uncertainty s_x̄ = s/√n, where s is the standard deviation of the single measurements. More repeats increase precision.
- Efficiency
- Efficiency η = E_useful/E_input, often given in percent and always below 100 because losses occur as heat, sound or friction. It can be defined for each stage of an energy chain.