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  1. Practice problem

    Two points on the same wave →

    Intermediate · Apply a principle. Find the magnitude of their phase difference at one instant.

  2. Practice problem / FREE SAMPLE

    Two portions of water reach equilibrium →

    Intermediate · Apply a principle. The same specific heat cancels, leaving a mass-weighted temperature average.

  3. Practice problem

    Two sharp images on one bench →

    Intermediate · Read graphs & measurements. Find the lens focal length.

  4. Practice problem

    Two slabs share a temperature drop →

    Intermediate · Connect concepts. Find the steady heat-transfer rate through either slab.

  5. Practice problem

    Two springs support one slider →

    Intermediate · Connect concepts. Find the common extension.

  6. Practice problem

    Two stages for the same sample →

    Intermediate · Connect concepts. Find the total heat supplied.

  7. Practice problem

    Two surfaces support the bubble →

    Intermediate · Apply a principle. Find the pressure excess inside the bubble.

  8. Practice problem

    Two transfers with opposite sign conventions →

    Beginner · Apply a principle. What is the change of the gas’s internal energy?

  9. Practice problem

    Undo the old axis shift first →

    Intermediate · Find a missing quantity. What is the new moment of inertia?

  10. Practice problem

    Unpack a watt before converting area →

    Beginner · Apply a principle. What is the energy flux in SI units kg·s⁻³?

  11. Practice problem

    Use a null ratio to isolate internal resistance →

    Advanced · Read graphs & measurements. What internal resistance follows from this model?

  12. Practice problem

    Use energy gaps before naming spectral lines →

    Intermediate · Compare cases. What is λ4→2 divided by λ3→2?

  13. Practice problem

    Use the balance length →

    Intermediate · Read graphs & measurements. Find X.

  14. Practice problem

    Use the index ratio at the interface →

    Intermediate · Apply a principle. Find the Brewster incidence angle measured from the normal.

  15. Practice problem

    Use the internal angle for the film phase →

    Advanced · Connect concepts. At what vacuum wavelength does the same order now peak?

  16. Practice problem

    Use the loop direction and area →

    Intermediate · Read graphs & measurements. Find the net heat absorbed by the gas over the cycle.

  17. Practice problem

    Use the mass inside the point →

    Intermediate · Compare cases. Find the gravitational field magnitude at distance R/4 from its center.

  18. Practice problem

    Use the period, then check the envelope →

    Advanced · Connect concepts. What is the lowest positive array order that coincides with a single-slit minimum, assuming that direction is accessible?

  19. Practice problem

    Use the slope to find a halving time →

    Intermediate · Read graphs & measurements. Find the time for N to become N₀/2.

  20. Practice problem

    Use the slope when the zero is uncertain →

    Advanced · Read graphs & measurements. What viscosity follows from the slope after removing a constant offset?