Every entry here is still the existing Challenge mode inside a shared concept page. The hub only makes those tasks visible by topic, concept, and starter-track path while reusing the current canonical content and local-first progress store.
Starting from Calm start, make the oscillator complete a shorter cycle without turning it into a wider swing. Keep the displacement graph open so the timing change stays visible.
Simple Harmonic Motion
No saved challenge activity yet on this browser.
Use compare mode to keep a calm baseline in Setup A and make Setup B cycle faster while both setups keep about the same swing size.
Simple Harmonic Motion
No saved challenge activity yet on this browser.
Guided paths
These cards reuse the current starter tracks instead of inventing a separate challenge curriculum. The path stays small, the concepts stay canonical, and the challenge links still land in the existing concept pages.
Start with vector components, move into projectile paths, and then use circular motion to understand how velocity can keep changing direction.
0
solved
0
started
8
to try
Short-period force band in Uniform Circular Motion is the best current entry from this path.
Start with torque as the turning effect of force, use centre of mass and support region for static balance, then carry the same rotational language into moment of inertia, rolling motion, and angular momentum.
0
solved
0
started
15
to try
Zero turn at the handle in Torque is the best current entry from this path.
Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
0
solved
0
started
12
to try
Keep the heavier source circular in Circular Orbits and Orbital Speed is the best current entry from this path.
Build from one clean oscillator to energy exchange and then to driven resonance, so the same system grows without changing its core ideas.
0
solved
0
started
6
to try
Short-period match in Simple Harmonic Motion is the best current entry from this path.
Start with pressure in a resting fluid, then carry that same branch through continuity, Bernoulli, buoyancy, and drag-limited motion.
0
solved
0
started
10
to try
Build the 27 kPa throat in Bernoulli's Principle is the best current entry from this path.
Use oscillation as the entry point, lock down wave speed and wavelength, carry that into longitudinal sound and pitch-versus-loudness cues, add beats as the nearby-frequency superposition bridge, then move into Doppler shifts, interference, standing-wave patterns, and open-vs-closed air-column resonance without losing the live connection between motion and graph.
0
solved
0
started
15
to try
Short-period match in Simple Harmonic Motion is the best current entry from this path.
Start with temperature-versus-internal-energy bookkeeping, reuse that particle story for gas pressure, then follow energy transfer into heating curves and phase-change shelves.
0
solved
0
started
8
to try
Same contrast, slower loss in Heat Transfer is the best current entry from this path.
Start with source charges and voltage, then carry that same circuit story into current, power, branch behavior, and equivalent resistance.
0
solved
0
started
7
to try
Build the upward field in Electric Fields is the best current entry from this path.
Start with current-made magnetic fields, turn changing flux into induced emf with Faraday and Lenz, and then reuse that same field direction story to explain magnetic force on charges and currents.
0
solved
0
started
6
to try
High flux, zero emf in Faraday's Law and Lenz's Law is the best current entry from this path.
Stay on the sound branch long enough that longitudinal motion, pitch-versus-loudness cues, beats, Doppler shifts, and open-vs-closed air-column resonance feel like one acoustics path instead of isolated pages.
0
solved
0
started
9
to try
Tune slow pulses in Beats is the best current entry from this path.
Follow the bounded wave-optics branch from polarization into diffraction, double-slit interference, color-dependent refraction, and imaging limits so the newer optics pages read like one compact path instead of isolated stops.
0
solved
0
started
10
to try
Set a half-power case in Polarization is the best current entry from this path.
Follow the bounded modern-physics branch from threshold emission into line spectra, matter waves, the Bohr hydrogen model, and half-life so the new concept set reads like one path instead of five isolated pages.
0
solved
0
started
10
to try
Find the stopping point in Photoelectric Effect is the best current entry from this path.
Challenge browser
Search reaches challenge titles, prompts, concept names, topic labels, highlights, and starter-track names. The result cards stay compact and always deep-link into the existing concept-page challenge flow.
Topics
More filters
Guided path, challenge depth, and saved-progress filters stay close without taking over the whole browser header.
Guided paths
Depth
Saved progress
Starting from Calm start, make the oscillator complete a shorter cycle without turning it into a wider swing. Keep the displacement graph open so the timing change stays visible.
Simple Harmonic Motion
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
No saved challenge activity yet on this browser.
Use compare mode to keep a calm baseline in Setup A and make Setup B cycle faster while both setups keep about the same swing size.
Simple Harmonic Motion
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
No saved challenge activity yet on this browser.
Starting near unison, tune the source pair until the envelope pulses at about $0.2\,\mathrm{Hz}$ while the source amplitude stays near the baseline.
Beats
Superpose two nearby sound frequencies, watch the fast carrier sit inside a slower envelope, and connect beat rate to the frequency difference on one compact bench.
No saved challenge activity yet on this browser.
Enter compare mode and make Setup B keep the same beat frequency as Setup A while clearly lowering the average carrier frequency.
Beats
Superpose two nearby sound frequencies, watch the fast carrier sit inside a slower envelope, and connect beat rate to the frequency difference on one compact bench.
No saved challenge activity yet on this browser.
Keep the emitted tone near 1.1 Hz and tune the live setup so the observer clearly hears a higher pitch on the moving-source bench.
Doppler Effect
Watch a moving sound source compress wavefronts ahead and stretch them behind, then see how source motion and observer motion combine to change the heard pitch on one bounded classical bench.
No saved challenge activity yet on this browser.
Enter compare mode and make Setup A hear a lower pitch than emitted while Setup B hears a higher pitch, with both sources keeping the same emitted frequency.
Doppler Effect
Watch a moving sound source compress wavefronts ahead and stretch them behind, then see how source motion and observer motion combine to change the heard pitch on one bounded classical bench.
No saved challenge activity yet on this browser.
Enter compare mode and make Setup B louder than Setup A while keeping the pitch the same.
Pitch, Frequency, and Loudness / Intensity
Keep one compact sound bench while separating pitch from frequency, loudness from amplitude and an amplitude-squared intensity cue, and probe delay from the source sound itself.
No saved challenge activity yet on this browser.
Starting from Baseline, move the probe until it sits inside a strong compression while the probe-pressure graph and compression overlay stay visible.
Sound Waves and Longitudinal Motion
See sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.
No saved challenge activity yet on this browser.
Enter compare mode and keep Setup B one full wavelength farther downstream than Setup A so both probes share the same phase relation but Setup B arrives one cycle later.
Sound Waves and Longitudinal Motion
See sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.
No saved challenge activity yet on this browser.
Starting from Center bright, move the probe onto a dark region where the screen intensity almost vanishes.
Wave Interference
Superpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.
No saved challenge activity yet on this browser.
From Center bright, pause at a moment when the resultant amplitude is still large but the instantaneous probe displacement has crossed through zero.
Wave Interference
Superpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.
No saved challenge activity yet on this browser.
Starting from the third harmonic, move the probe onto a node so the local oscillation envelope collapses almost to zero.
Standing Waves
Track fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.
No saved challenge activity yet on this browser.
From the fundamental mode, keep the probe at the center antinode and pause right as that antinode crosses through zero displacement.
Standing Waves
Track fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.
No saved challenge activity yet on this browser.
Starting from the closed-pipe third harmonic, move the probe onto the closed wall so parcel motion nearly disappears while the pressure cue stays strong.
Resonance in Air Columns / Open and Closed Pipes
Compare open and closed pipe boundary conditions on one compact air column so standing-wave shapes, missing even harmonics, probe motion, and pressure cues stay tied to the same resonance state.
No saved challenge activity yet on this browser.
Enter compare mode, keep both setups at the same tube length and the same resonance-order slider setting of 2, then make Setup B the closed-open tube so Setup A lands on the 2nd harmonic while Setup B lands on the 3rd harmonic at a lower frequency.
Resonance in Air Columns / Open and Closed Pipes
Compare open and closed pipe boundary conditions on one compact air column so standing-wave shapes, missing even harmonics, probe motion, and pressure cues stay tied to the same resonance state.
No saved challenge activity yet on this browser.