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AP ECET: Physics - Formulas, Units and Applied Reasoning

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Physics - Formulas, Units and Applied Reasoning

What the section tests

Physics contributes 25 one-mark questions and rewards formula recall plus unit discipline rather than lengthy derivation. Expect short numericals and one-line conceptual items drawn from the diploma physics course.

Core areas and rules

  • Units and dimensions: force MLT⁻², energy ML²T⁻², power MLT⁻³; an equation is valid only if dimensions balance on both sides.
  • Mechanics: equations of motion, work–energy theorem, conservation of momentum, friction, circular motion, moment of inertia of standard bodies.
  • Oscillations and sound: SHM period, simple pendulum T = 2π√(l/g), beats, resonance, Doppler shift.
  • Heat: specific and latent heat, thermal expansion, first law of thermodynamics, Carnot efficiency = 1 − T₂/T₁ with temperatures in kelvin.
  • Electricity and magnetism: Ohm's law, series and parallel networks, Kirchhoff's laws, F = BIL sinθ, electromagnetic induction.
  • Modern physics and electronics: photoelectric equation, Bohr levels, intrinsic versus extrinsic semiconductors, p–n junction rectification.

Worked example

A lamp rated 100 W, 250 V runs at its rated voltage. Resistance R = V²/P = 250²/100 = 625 Ω, and current I = P/V = 100/250 = 0.4 A. If the same lamp is run at 200 V, power = V²/R = 40 000/625 = 64 W. Options frequently quote this off-rating value instead of the rated 100 W, so compute it rather than assuming.

Traps that cost marks

  • Peak versus RMS: the 230 V supply is RMS, so the peak is 230√2 ≈ 325 V.
  • Entering Celsius into the Carnot expression instead of kelvin.
  • Confusing gauge pressure with absolute pressure (gauge + atmospheric).
  • Forgetting that frequency stays constant while wavelength and speed change when light or sound enters a new medium.
  • Writing the photoelectric equation with frequency on one side and wavelength on the other without converting.