Does wavelength affect the group velocity of a wave packet?

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yellowgold
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What is the relationship wavelength and group velocity in wave packet ? If a wave packet has big wavelength its group velocity bigger or not ?
 
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yellowgold said:
What is the relationship wavelength and group velocity in wave packet ? If a wave packet has big wavelength its group velocity bigger or not ?

If you know the definition of group velocity you can do this by yourself as an exercise. Recall the relation between (de Broigle) wavelength v.s momentum and then you have it.