COMEDK · Physics · 27. Dual Nature of Matter
If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is
- A Zero
- B less than that of a proton
- C more than that of a proton
- D equal to that of a proton
Answer & Solution
Correct Answer
(C) more than that of a proton
Step-by-step Solution
Detailed explanation
Given, \(\quad \lambda_{e}=\lambda_{p}\) Since, de-Broglie wavelength, \[ \begin{aligned} \lambda &=\frac{h}{m v}=\frac{h}{p}=\frac{h}{\sqrt{2 m K}} \\ \Rightarrow \quad \lambda &=\frac{h}{\sqrt{2 m K}} \end{aligned} \] where, \(K\) is kinetic energy.…
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