Question

A particle of mass M at rest decays into two particles of masses $m_{1}and{m}_2$, having non-zero velocities. The ratio of the de Broglie wavelengths of the particles $\lambda_1\bigg/\lambda_2

• A. $\frac{m_1}{m_2}$
• B. $\frac{m_2}{m_1}$
• C. $1$
• D. $\frac{\sqrt{m_2}}{\sqrt{m_1}}$

Answer 1

The correct option is C $1$

$\begin{array}{c}Twoparticleshavesamemomentum\\ \therefore \lambda \alpha \frac{1}{P},\lambda -same\end{array}$

Hence,

option $\left(D\right)$ is correct answer.