Question

A particle of mass $m$ moves with a speed $v$. Write down the formula of the corresponding de Broglie wavelength of the particle.

Hint:

Greater momentum $\Rightarrow$ shorter de Broglie wavelength.

Answer 1

Step 1: Recall de Broglie relation.
According to de Broglie, a moving particle has wavelength: \[ \lambda = \frac{h}{p}. \]
Step 2: Substitute momentum.
\[ p = mv. \] So, \[ \lambda = \frac{h}{mv}. \]
Step 3: Conclusion.
The de Broglie wavelength is inversely proportional to momentum.