COMEDK · Physics · 27. Dual Nature of Matter
What is the ratio of de Broglie wavelength of an electron to that of proton if the velocity of proton is \(\dfrac{1}{6}\) the velocity of electron?
- A \(1:603\)
- B \(603:1\)
- C \(306:1\)
- D \(1:306\)
Answer & Solution
Correct Answer
(C) \(306:1\)
Step-by-step Solution
Detailed explanation
The de Broglie wavelength is given by \(\lambda = \dfrac{h}{mv}\). For an electron, \(\lambda_e = \dfrac{h}{m_e v_e}\). For a proton, \(\lambda_p = \dfrac{h}{m_p v_p}\). The ratio of their wavelengths is: \(\dfrac{\lambda_e}{\lambda_p} = \dfrac{m_p v_p}{m_e v_e}\) Given that the…
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