Wave optics / Snell's law of refraction

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Taseng Mancheykhun
When light from a rarer medium enters a denser medium, the wave gets refracted into the denser medium and so the wavelenght and the speed of propagation decreases ( [v][1] >[SUBv][/SUB2]) but the frequency remains the same. HOW ?

[SUBv][/SUB1] / [SUBλ][/SUB1] = [SUBv][/SUB2] / [SUBλ][/SUB2] How?
 
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The frequency cannot change. Ask yourself how it could. The field ( or the string or air molecule) would have to magically oscillate at a different frequency. The changing wave speed can only result in a wavelength change for ‘continuity’ at the interface.