* Wavelength and Frequency: Wavelength and frequency are inversely proportional. This means that a longer wavelength corresponds to a lower frequency, and vice versa.
* Shaking Speed and Frequency: When you shake a rope, the speed at which you shake it determines the frequency of the waves you create. A faster shaking motion creates waves with a higher frequency.
* Frequency and Energy: The energy of a wave is directly proportional to its frequency. Higher frequency waves carry more energy.
Therefore:
* The rope shaken rapidly will have a higher frequency and longer wavelength.
* The rope shaken slowly will have a lower frequency and shorter wavelength.