Problems | IYPT2021
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Problemsforthe37thIYPT2024ReleasedbytheIOConJuly25th,2023.Pleaserefertothe officialandsignedpdf[1] astheauthoritativesource.1.InventYourselfTakeabox(e.g.amatchbox),filledwithidenticalobjects(e.g.matches,balls,…).Findamethodtodeterminethenumberofobjectsintheboxsolelybythesoundproducedwhileshakingthebox.Howdoestheaccuracydependonthepropertiesoftheobjects,thebox,andthepackingdensity?2.DropletMicroscopeBylookingthroughasinglewaterdropletplacedonaglasssurface,onecanobservethatthedropletactsasanim...
Released by the IOC on July 25th, 2023.
Please refer to the official and signed pdf[1] as the authoritative source.
1. Invent Yourself
Take a box (e.g. a matchbox), filled with identical objects (e.g. matches, balls, …). Find a method to determine the number of objects in the box solely by the sound produced while shaking the box. How does the accuracy depend on the properties of the objects, the box, and the packing density?
2. Droplet Microscope
By looking through a single water droplet placed on a glass surface, one can observe that the droplet acts as an imaging system. Investigate the magnification and resolution of such a lens.
3. Rigid Ramp Walker
Construct a rigid ramp walker with four legs (e.g. in the form of a ladder). The construction may begin to ‘walk’ down a rough...
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