Question

1. two waves with different characteristics are shown. how can you compare the characteristics of the two waves? drag the answer to the correct blank. the amplitude of wave g is ______ wave h. the wavelength of ____ is greater than ____. this means that the energy of wave g is ______ the energy carried by wave h. wave g less than wave h greater than the same as

Explanation:

• Amplitude: Amplitude is the maximum displacement from the rest position. For Wave G, the amplitude is \(6\) (from \(0\) to \(6\) on the y - axis). For Wave H, the amplitude is \(4\) (from \(0\) to \(4\) on the y - axis). So, the amplitude of Wave G is greater than Wave H.
• Wavelength: Wavelength is the distance between two consecutive crests (or troughs). By visual inspection (counting the number of waves in a given x - range), Wave G has a longer wavelength than Wave H.
• Energy: The energy of a wave is related to its amplitude and frequency. Since \(E\propto A^{2}\) (for a wave with amplitude \(A\)) and \(E\propto f\) (where \(f\) is the frequency). Given \(A_G>A_H\) and \(\lambda_G>\lambda_H\) (and \(f = \frac{v}{\lambda}\), assuming the speed \(v\) is constant), the energy of a wave also depends on amplitude. Higher amplitude (and considering the overall wave characteristics) means that the energy of Wave G is greater than the energy carried by Wave H.

Answer:

The amplitude of Wave G is greater than Wave H. The wavelength of Wave G is greater than Wave H. This means that the energy of Wave G is greater than the energy carried by Wave H.