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  1. Practice problem

    After three half-lives, what fraction remains? →

    Beginner · Apply a principle. What fraction of the parent nuclei remains undecayed on average?

  2. Practice problem

    An alpha particle removes both proton and neutron counts →

    Beginner · Apply a principle. How many neutrons remain in the daughter nucleus?

  3. Practice problem

    An analyzer transmits a projection →

    Intermediate · Apply a principle. Find the transmitted intensity.

  4. Practice problem

    An apparently balanced divider is loaded →

    Intermediate · Connect concepts. What does the voltmeter read?

  5. Practice problem

    An area becomes kinetic energy →

    Intermediate · Connect concepts. Find its final speed.

  6. Practice problem

    An elastic collision exchanges velocities →

    Intermediate · Compare cases. Find the initially stationary cart’s final velocity.

  7. Practice problem

    An electron transfer changes a signed integer count →

    Beginner · Apply a principle. What is its final charge?

  8. Practice problem

    An energy budget can rule out a destination →

    Intermediate · Find a missing quantity. What potential rise would reduce its kinetic energy to zero?

  9. Practice problem

    An energy-balanced engine can still be impossible →

    Advanced · Apply a principle. What is the entropy change of the two reservoirs per cycle?

  10. Practice problem

    An engine efficiency needs the positive heat legs →

    Advanced · Connect concepts. What is Wnet divided by total positive heat input?

  11. Practice problem

    An equivalent radius for a rod →

    Intermediate · Connect concepts. Find its radius of gyration about an axis perpendicular to the rod through one end.

  12. Practice problem

    An induced electric field exists outside the changing field region →

    Advanced · Connect concepts. What is the magnitude of the induced electric field at radius 0.25 m from the centre?

  13. Practice problem

    An insulated compression stores the work →

    Intermediate · Connect concepts. What work is done on the gas?

  14. Practice problem

    An interaction between two currents →

    Intermediate · Connect concepts. Find the force magnitude per metre on either wire.

  15. Practice problem / FREE SAMPLE

    Apply the charge sign last →

    Intermediate · Apply a principle. The cross product and the sign of the charge are two separate direction decisions.

  16. Practice problem

    Average the detector signal over its exposure →

    Advanced · Read graphs & measurements. What average intensity does the detector record?

  17. Practice problem

    Average the rectified waveform →

    Intermediate · Connect concepts. Find the time-averaged load current.

  18. Practice problem

    Balance energy, then compare entropy →

    Intermediate · Connect concepts. Find the total entropy change of the two reservoirs.

  19. Practice problem

    Balance in an accelerating frame →

    Intermediate · Connect concepts. Find the string tension.

  20. Practice problem

    Bank the road for a chosen speed →

    Intermediate · Find a missing quantity. Find tan θ for the banking angle.