COMEDK · Physics · 27. Dual Nature of Matter
A particle at rest decays in to two particles of mass \(m_1\) and \(m_2\) and move with velocities \(v_1\) and \(v_2\). The ratio of their de Broglie wave length \(\dfrac{\lambda_1}{\lambda_2}\) is:
- A 1 : 2
- B 2 : 1
- C 1 : 1
- D 1 : 4
Answer & Solution
Correct Answer
(C) 1 : 1
Step-by-step Solution
Detailed explanation
Let the mass of the parent particle be \(M\). Since the parent particle is at rest, the initial momentum is zero. By the law of conservation of linear momentum, the magnitudes of the momenta of the two decay products must be equal. \(p_1 = p_2 = p\) The de Broglie wavelength…
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