Electrons are accelerated through a potential difference V and protons are…

PHYSICS · Single correct · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

Electrons are accelerated through a potential difference V and protons are accelerated through a potential difference 4 V. The de-Broglie wavelengths are λe\lambda_e and λp\lambda_p for electrons and protons respectively. The ratio of λeλp\frac{\lambda_e}{\lambda_p} is given by : (given mem_e is mass of electron and mpm_p is mass of proton). (1) λeλp=mpme\frac{\lambda_e}{\lambda_p} = \sqrt{\frac{m_p}{m_e}} (2) λeλp=memp\frac{\lambda_e}{\lambda_p} = \sqrt{\frac{m_e}{m_p}} (3) λeλp=12mpme\frac{\lambda_e}{\lambda_p} = \frac{1}{2}\sqrt{\frac{m_p}{m_e}} (4) λeλp=2mpme\frac{\lambda_e}{\lambda_p} = 2\sqrt{\frac{m_p}{m_e}}

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