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19/08/2021 10:24 am
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If a proton and a-particle are accelerated through the same potential difference, the ratio of de Broglie wavelengths λp and λα is
(a) 3
(b) 2\(\sqrt2\)
(c) 1
(d) 2
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19/08/2021 10:33 am
λp = \(\frac{h}{\sqrt{2eVm_p}}\)
λHe2+ = \(\frac{h}{\sqrt{2 \times 2eVm_{He^{2+}}}}\)
= \(\frac{h}{\sqrt{2 \times 2eV \times 4m_p}}\)
∴ \(\frac{\lambda_p}{\lambda_{{He}^{2+}}}\) = \(2 \sqrt{2}\)