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  • The de-Broglie wave lengths of a proton and -particle are equal. The ratio of their velocities are-<div class=

The de-Broglie wave lengths of a proton and \alpha-particle are equal. The ratio of their velocities are-

Option: 1

1: 3


Option: 2

4: 1


Option: 3

1: 2


Option: 4

1: 6


Answers (1)

best_answer

\mathrm{ Since, \lambda_{\text {proton }}=\lambda_{\alpha-\text { particle }} } \\ {\text { As, } \begin{aligned} \lambda=\frac{\hbar}{p} \Rightarrow & P_p=P_\alpha \\ & m_\rho v_p=m_\alpha v_\alpha \\ & \frac{v_p}{v_\alpha}=\frac{m_\alpha}{m_p}=\frac{4}{1} \text { Ans. } \end{aligned} }

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