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Invent yourselfIt is known that some electrical circuits exhibit chaotic behaviour. Build a simple circuit with such a property, and investigate its behaviour.2. HologramIt is argued that a hologram can be hand made by scratching a piece of plastic. Produce such a 慼ologram with the letters 慖YPT and investigate how it works.3. Twisted ropeHold a rope and twist one end of it. At some point the rope will form a helix or a loop. Investigate and explain the phenomenon.4. Ball soundWhen two hard steel balls, or similar, are brought gently into contact with each other, an unusual 慶hirping sound may be produced. Investigate and explain the nature of the sound.5. Loaded hoopFasten a small weight to the inside of a hoop and set the hoop in motion by giving it an initial push. Investigate the hoop抯 motion.6. Bubble crystalA large number of very small, similar air bubbles float on the surface of a soapy liquid. The bubbles will arrange themselves into a regular pattern similar to a crystalline lattice. Propose a method to obtain bubbles of a consistent size, and investigate the formation of such a bubble crystal.7. Pot-in-pot refrigeratorThe 憄ot-in-pot refrigerator is a device that keeps food cool using the principle of evaporative cooling. It consists of a pot placed inside a bigger pot with the space between them filled with a wet porous material, e.g. sand. How might one achieve the best cooling effect?8. Freezing dropletsPlace a water droplet on a plate cooled down to around -20 癈. As it freezes, the shape of the droplet may become conelike with a sharp top. Investigate this effect.9. Water bombsSome students are ineffective in water balloon fights as the balloons they throw rebound without bursting. Investigate the motion, deformation, and rebound of a balloon filled with fluid. Under what circumstances does the balloon burst?10. Coefficient of diffusionUsing a microscope, observe the Brownian motion of a particle of the order of micrometre in size. Investigate how the coefficient of diffusion depends on the size and shape of the particle.11. Candle Power PlantDesign a device that converts the heat of a candle flame into electrical energy. Investigate how different aspects of the device affect its efficiency.12. Cold balloonAs air escapes from an inflated rubber balloon, its surface becomes cooler to the touch. Investigate the parameters that affect this cooling. What is the temperature of various parts of the balloon as a function of relevant parameters?13. Rotating saddleA ball is placed in the middle of a rotating saddle. Investigate its dynamics and explain the conditions under which the ball does not fall off the saddle.14. 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Investigate the properties of such an energy source and how its power output changes with time.15. Oil starsIf a thick layer of a viscous fluid (e.g. silicone oil) is vibrated vertically in a circular reservoir, symmetrical standing waves can be observed. How many lines of symmetry are there in such wave patterns? Investigate and explain the shape and behaviour of the patterns.16. Magnetic brakesWhen a strong magnet falls down a non-ferromagnetic metal tube, it will experience a retarding force. Investigate the phenomenon.17. Chocolate hysteresisChocolate appears to be a solid material at room temperature but melts when heated to around body temperature. When cooled down again, it often stays melted even at room temperature. 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