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AP EAMCET · PHYSICS · Dual Nature of Matter

The ratio of the de-Broglie wavelengths for the electron and proton moving with the same velocity is \(\left(m_p\right.\)-mass of proton, \(m_e\)-mass of electron)

  1. A \(m_p: m_e\)
  2. B \(m_p^2: m_e^2\)
  3. C \(m_e: m_p\)
  4. D \(m_e^2: m_p^2\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(m_p: m_e\)

Step-by-step Solution

Detailed explanation

As, we know that de-Broglie wave lengths \(\lambda=\frac{h}{m v} \Rightarrow \lambda \propto \frac{1}{m} \text { So, } \frac{\lambda_e}{\lambda_p}=\frac{m_p}{m_e}\)
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