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De Broglie Wavelength and Mass


Ossih

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Hey guys, I was doing a multiple choice question with de broglie wavelength and mass.

 

In short, I know that

 

lambda = h/square root(2meV) for an electron, and so that implies that lambda is inversely proportional to the square root of m, which is the answer, and is what I chose. The derivation is straightforward for this formula, its using lambda = h/p, replacing p as square root of 2m * Ek which is 2meV.

 

However, my friend did lambda = h/p and p = mv, which implies that lambda = h/mv and so lambda is inversely proportional to v.

 

I know that the first one is right but why is the second one wrong :( Mathematically, it makes sense to me. 

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