Draw the following waves on the same graph: 1. A wave with an amplitude of 6m and a wavelength of 3m. 2. A wave with an amplitude of 2m and a wavelength of 2m. Which wave has the g... Draw the following waves on the same graph: 1. A wave with an amplitude of 6m and a wavelength of 3m. 2. A wave with an amplitude of 2m and a wavelength of 2m. Which wave has the greatest frequency if they're all traveling at the same speed?
Understand the Problem
The problem presents two parts: first, you are asked to draw two waves on the same graph with given amplitudes and wavelengths. Second, you need to identify which wave has the greatest frequency, assuming both waves travel at the same speed. This involves understanding the relationship between wavelength and frequency.
Answer
Wave 2 has the greatest frequency because it has a shorter wavelength.
Wave 2, which has a wavelength of 2m, has the greatest frequency, given that both waves travel at the same speed. This is because frequency and wavelength are inversely proportional.
Answer for screen readers
Wave 2, which has a wavelength of 2m, has the greatest frequency, given that both waves travel at the same speed. This is because frequency and wavelength are inversely proportional.
More Information
Frequency and wavelength have an inverse relationship. Therefore, for waves traveling at the same speed, the wave with the shorter wavelength will have the higher frequency.
Tips
A common mistake is thinking that amplitude affects frequency. While amplitude affects the energy of a wave, it does not change its frequency if the speed remains constant.
Sources
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