What happens to wavelength and frequency when a wave changes velocity

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SUMMARY

When an electromagnetic (EM) wave transitions into a denser medium, its frequency remains constant while its wavelength decreases. This phenomenon is explained by the index of refraction, represented by the equation n = λ/λn, where n is the index of refraction, λ is the original wavelength, and λn is the new wavelength. The relationship between velocity and light in a medium is given by n = c/v, where c is the speed of light in a vacuum and v is the speed in the medium. As the wave enters the denser medium, it compresses, resulting in a shorter wavelength and potentially a decrease in amplitude.

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When an EM wave goes into say a denser medium and its velocity is decreased how does its wavelength and frequency change? I read that the frequency remains constant but the wavelength changes. Is this true? If so does that mean the wave gets compressed when it enters a denser medium. Does the amplitude decrease too?
 
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The index of refraction specifically states the change in wave-length for a em-wave.

n=\frac{\lambda}{\lambda_{n}}

and the relation for velocity-a medium- and light is

n=\frac{c}{v}

that gives a simple answer to your question. does it help?
 
Or if you wish to think of it "graphically" then imagine a wave heading into an object, say glass at a specific angle. What happens to the first part of the wave that hits the glass?... you can think of it like the first part of the wave gets slowed down, before the other part catches up. Now draw this, and you'll notice that the waves tend to get bunch up. Now make deductions based on the fact that you know the velocity has decreased.
 
Ah yeah that explains it thanks. I do like to understand things visually first then use the mathematical approach to verify my understanding and unravel things I wouldn't have spotted.
 

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