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Alpha particle and proton accelerated through the same potential difference: ratio of their de Broglie wavelengths

The same question, asked 2 times: 2021 Paper 3, 29 Jan 2023. Every wording below, oldest first.

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  1. Question 1

    2021 Paper 3

    16
    An α\alpha particle and a proton are accelerated from rest by a potential difference of 100 V100\text{ }V. After this, their de Broglie wavelengths are λα\lambda_{\alpha} and λp\lambda_{p} respectively. The ratio λpλα\frac{\lambda_{p}}{\lambda_{\alpha}} is:

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  2. Question 2

    29 Jan 2023

    104
    The ratio of de-Broglie wavelength of an α\alpha particle and a proton accelerated from rest by the same potential is 1m\frac{1}{\sqrt{m}}, the value of mm is-

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