The ratio of the de-Broglie wavelengths for the electron and proton moving with the same velocity is…

The ratio of the de-Broglie wavelengths for the electron and proton moving with the same velocity is $\left(m_p\right.$-mass of proton, $m_e$-mass of electron)
  1. $m_p: m_e$
  2. $m_p^2: m_e^2$
  3. $m_e: m_p$
  4. $m_e^2: m_p^2$

Solution

As, we know that de-Broglie wave lengths $\lambda=\frac{h}{m v} \Rightarrow \lambda \propto \frac{1}{m} \text { So, } \frac{\lambda_e}{\lambda_p}=\frac{m_p}{m_e}$

Asked in: AP EAMCET 2015

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