Wavelength Calculation in a Ripple Tank with Varying Speeds

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To find the wavelength of waves transitioning from a deep section to a shallow section in a ripple tank, the frequency remains constant across both areas. Given the wave speed in the deep section is 12 cm/s and the wavelength is 11.5 cm, the frequency can be calculated as 1.04 Hz. Using the wave speed in the shallow section (9.0 m/s), the wavelength can then be determined using the formula: wavelength = speed/frequency. The final wavelength in the shallow section is approximately 8.65 m. Understanding the relationship between wave speed, frequency, and wavelength is crucial for solving this type of problem.
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Homework Statement


In a ripple tank, you measure the speed of a wave to be 12 cm /s in the deep section and 9.0m/s in the shallow section. If the waves in the deep section that are 11.5 cm long cross over to the shallow section, what would be the wavelength in the shallow section

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The Attempt at a Solution


I am not even sure how to start this question, how do i find the wavelength without frequency, and what exactly does this even question mean?
 
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The frequency will be the same in the deep end as the shallow end. You have enough information to be able to find it in one end of the tank.
 

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