QUESTION IMAGE
Question
these models show two different waves eli created in the spring toy.
wave 1
wave 2
assuming the waves are traveling at the same speed, compare the waves.
| greater for wave 1 | greater for wave 2 | equal for both waves | --- | --- | --- | --- | the amplitude is | ○ | ○ | ○ | the wavelength is | ○ | ○ | ○ | the frequency is | ○ | ○ | ○ |
Step1: Analyze wave amplitude
Amplitude is the maximum displacement from the rest position. Looking at both waves, the outward loops (displacement) are the same size for Wave 1 and Wave 2.
Step2: Analyze wave wavelength
Wavelength is the distance between identical points on consecutive waves. Wave 1 has fewer compressed sections per unit length, so its wavelength is longer. Wave 2 has more compressed sections, meaning shorter wavelength. Thus, wavelength is greater for Wave 1.
Step3: Relate speed, wavelength, frequency
Use the wave speed formula $v = f\lambda$, rearranged to $f = \frac{v}{\lambda}$. Since $v$ is equal for both waves, frequency is inversely proportional to wavelength. Wave 2 has a shorter wavelength, so its frequency is greater.
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| greater for Wave 1 | greater for Wave 2 | equal for both waves | |
|---|---|---|---|
| The wavelength is | $\boldsymbol{\bigcirc}$ | ||
| The frequency is | $\boldsymbol{\bigcirc}$ |