The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume mp = me × 1849)

Engineering

Physics

de Broglie Hypothesis and Dual Nature

Question

The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume m_p = m_e × 1849)

1 : 30

1 : 62

2 : 43

1 : 43

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$λ = \frac{h}{\sqrt{2 mKE}} \Rightarrow λ \propto \frac{1}{\sqrt{m}}$

$\frac{λ_{p}}{λ_{e}} = \sqrt{\frac{m_{e}}{m_{p}}} = \sqrt{\frac{1}{1849}} = \frac{1}{43}$