The de Broglie wavelength of a particle is . If the momentum of a particle is multiplied by 2, what happens to its wavelength?
Answer and explanation
Correct answer: A. It is divided by 2
- Step 1: Since , the wavelength is inversely proportional to .
- Step 2: Multiplying by 2 divides by 2.
Answer
It is divided by 2.
Why not the others: It is multiplied by 2: the wavelength is inversely proportional to the momentum. It is divided by 4: the momentum was squared by mistake. It stays the same: the wavelength depends on the momentum.
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