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Ratio of de Broglie wavelengths of particles accelerated through potential differences

This type of question, asked 8 times: 2021 Paper 3, 2021 Paper 6, 2021 Paper 14, 25 Jul 2022, 29 Jul 2022, 29 Jan 2023, 12 Apr 2023, 4 Apr 2026 S2. All 8 questions 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

    2021 Paper 6

    7
    The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through the same potential of 100 V100\text{ }V. What should nearly be the ratio of their wavelengths? (mP=1.00727 u, me=0.00055 u)\left( m_{P}= 1.00727\,u,\ m_{e}= 0.00055\,u \right)

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  3. Question 3

    2021 Paper 14

    1
    An electron, a proton and an α\alpha-particle are accelerated from rest through the same potential difference. Arrange their de Broglie wavelengths in decreasing order.

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  4. Question 4

    25 Jul 2022

    97
    The ratio of wavelengths of proton and deuteron accelerated by potential VpV_{p} and VdV_{d} is 1:21:\sqrt{2}. Then, the ratio of VpV_{p} to VdV_{d} will be

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  5. Question 5

    29 Jul 2022

    100
    An α\alpha particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particles will be:

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  6. Question 6

    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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  7. Question 7

    12 Apr 2023

    6
    A proton and an α\alpha-particle are accelerated from rest by 2 V2\text{ }V and 4 V4\text{ }V potentials, respectively. The ratio of their de-Broglie wavelength is:

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  8. Question 8

    4 Apr 2026 S2

    19
    The de Broglie wavelength associated with an electron accelerated through a potential difference V is λe\lambda_{e} and the de Broglie wavelength associated with a proton accelerated through the same potential difference is λp\lambda_{p}. If their corresponding masses are mem_{e} and mpm_{p}, respectively, then the ratio of their de Broglie wavelengths (λeλp)\left( \frac{\lambda_{e}}{\lambda_{p}} \right) is ____\_\_\_\_ .

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