WBJEE · Physics · Dual Nature of Matter
Consider two particles of different masses, In which of the following situations the heavier of the two particles will have smaller de-Broglie wavelength?
- A Both have a free fall through the same height
- B Both move with the same kinetic energy
- C Both move with the same linear momentum
- D Both move with the same speed
Answer & Solution
Correct Answer
(D) Both move with the same speed
Step-by-step Solution
Detailed explanation
The de-Broglie equation is \[ \begin{aligned} \lambda &=\frac{h}{m v}=\frac{h}{\sqrt{2 m k}} \Rightarrow m=\frac{h}{\lambda v} \\ \Rightarrow \quad m \propto \frac{1}{\lambda}, \text { if } \frac{h}{v} &=\mathrm{constant} \end{aligned} \] Again, \(\frac{h}{v}\) will be constant…
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