COMEDK · Physics · 27. Dual Nature of Matter
A particle of mass \(M\) at rest decays into masses \(m_1\) and \(m_2\) with non-zero velocities. The ratio of de Broglie wavelengths \(\lambda_1\) and \(\lambda_2\) of the particles is
- A \(\dfrac{\sqrt{m_1}}{\sqrt{m_2}}\)
- B \(\dfrac{m_1}{m_2}\)
- C \(\dfrac{m_2}{m_1}\)
- D 1:1
Answer & Solution
Correct Answer
(D) 1:1
Step-by-step Solution
Detailed explanation
The particle of mass \(M\) is initially at rest, so its initial momentum is zero. By the law of conservation of linear momentum, the final momenta of the two particles \(m_1\) and \(m_2\) must be equal in magnitude and opposite in direction. Let \(p_1\) be the magnitude of the…
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