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  1. Practice problem

    The useful voltage measure →

    Intermediate · Apply a principle. Find its rms voltage.

  2. Practice problem / FREE SAMPLE

    The whole interference setup enters a liquid →

    Intermediate · Compare cases. Frequency stays fixed at the boundary, but wavelength and therefore fringe spacing decrease.

  3. Practice problem / FREE SAMPLE

    Time back to launch height →

    Intermediate · Find a missing quantity. Set the vertical displacement to zero and choose the nonzero root, not the launch instant.

  4. Practice problem

    Trade amplitude against frequency →

    Intermediate · Compare cases. Find the ratio of new average power to old average power.

  5. Practice problem

    Translation and rotation share the descent →

    Advanced · Connect concepts. Find its acceleration along the incline.

  6. Practice problem

    Turn a dipole in a uniform field →

    Intermediate · Apply a principle. Find its maximum torque magnitude.

  7. Practice problem

    Turn a film phase ledger into an actual detector reading →

    Advanced · Connect concepts. What combined intensity follows from the coherent two-beam model?

  8. Practice problem / FREE SAMPLE

    Turn a focal length into dioptres →

    Intermediate · Apply a principle. Convert centimetres to metres because a dioptre is an inverse metre.

  9. Practice problem

    Turn a resolution target into an illuminated width →

    Advanced · Find a missing quantity. What minimum illuminated width meets the ideal Rayleigh resolving-power requirement?

  10. Practice problem / FREE SAMPLE

    Turn a wrench with an angled force →

    Intermediate · Apply a principle. Torque can be calculated in two equivalent ways: perpendicular force times handle length, or full force times the perpendicular moment arm.

  11. Practice problem / FREE SAMPLE

    Turn counts set the output voltage →

    Intermediate · Apply a principle. The secondary has one fifth as many turns, so it receives one fifth of the primary voltage.

  12. Practice problem

    Turn fringe spacing into a physical gap →

    Intermediate · Connect concepts. What is the gap thickness at the raised edge?

  13. Practice problem / FREE SAMPLE

    Two carts leave together →

    Intermediate · Apply a principle. The same initial momentum is now carried by the combined mass.

  14. Practice problem

    Two different decay timescales →

    Intermediate · Apply a principle. Find its mean life.

  15. Practice problem

    Two distances describe one ellipse →

    Intermediate · Read graphs & measurements. What is its orbital eccentricity?

  16. Practice problem

    Two gases at the same temperature →

    Intermediate · Compare cases. Find vrms of the lighter gas divided by vrms of the heavier gas.

  17. Practice problem / FREE SAMPLE

    Two hanging masses share an acceleration →

    Intermediate · Apply a principle. Treat the pair as one system: the weight difference drives the total mass.

  18. Practice problem

    Two liquid layers add pressure →

    Intermediate · Connect concepts. Find the gauge pressure at the bottom.

  19. Practice problem

    Two loads behind one transformer →

    Intermediate · Connect concepts. What RMS current does the primary draw?

  20. Practice problem

    Two plate areas share voltage, not charge →

    Advanced · Connect concepts. What is the final voltage?