To determine the relationship between the properties of the waves on the two ropes, we can analyze the information given:
- Waves that are "very close together" indicate a higher frequency. This is because frequency (f) is the number of waves that pass a given point per unit time.
- Waves that are "very spaced out" indicate a lower frequency.
Additionally, the wavelength (λ) is the distance between successive crests of a wave.
- Since wave speed (v) is related to frequency and wavelength by the equation \( v = f \cdot \lambda \), if one wave has a higher frequency, it typically has a shorter wavelength, assuming wave speed in both ropes is the same.
From the descriptions:
- Rope 1 (waves close together) has a higher frequency and a shorter wavelength compared to Rope 2 (waves spaced out).
- Rope 2 (waves spaced out) has a lower frequency and a longer wavelength.
Therefore, the correct response is:
Rope 1 has a higher frequency and a shorter wavelength than rope 2.
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