Question 12: Dual Nature of Matter and Radiation

Question

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

Accepted Answer

By momentum conservation in a twoÃ¢ÂÂbody decay from rest, the daughters have equal and opposite momenta
pÃ¢ÂÂ = pÃ¢ÂÂ
and hence equal de Broglie wavelengths
ÃÂ» = h/p.
Thus
ÃÂ»Ã¢ÂÂ/ÃÂ»Ã¢ÂÂ = pÃ¢ÂÂ/pÃ¢ÂÂ = 1.
Answer: Option D (1 : 1).

Answer

$\frac{m_2}{m_1}$

Answer

$\frac{\sqrt{m_1}}{\sqrt{m_2}}$

Answer

$\frac{m_1}{m_2}$

Answer

$1: 1$

Dual Nature of Matter and Radiation

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

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