NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
An electron and an alpha particle are accelerated by the same potential difference. Let and denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:
- A
- B
- C
- D
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Correct answer: A
de-Broglie wavelength is given by
$$\lambda=\frac{h}{p}=\frac{h}{\sqrt{2 m q V}}$$
For same potential difference
$$\begin{gathered} \lambda \propto \frac{1}{\sqrt{m q}} \\ \frac{\lambda_\alpha}{\lambda_e}=\sqrt{\frac{m_e q_e}{m_\alpha q_\alpha}} \\ \because m_\alpha \gg m_e \\ \lambda_e>\lambda_\alpha \end{gathered}$$
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