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Ratio or order of de Broglie wavelengths of particles with given kinetic energies

This type of question, asked 8 times: 2021 Paper 13, 25 Jun 2022, 27 Jun 2022, 24 Jan 2023, 6 Apr 2023, 11 Apr 2023, 9 Apr 2024, 28 Jan 2026 S1. All 8 questions below, oldest first.

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  1. Question 1

    2021 Paper 13

    1
    Find the ratio of de Broglie wavelength of an electron and a proton having same Kinetic Energy. Given that the mass of electron is mem_{e} and proton is mpm_{p}.

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  2. Question 2

    25 Jun 2022

    106
    A proton, a neutron, an electron and an α\alpha-particle have same energy. If λp,λn,λe\lambda_{p},\lambda_{n},\lambda_{e} and λα\lambda_{\alpha} are the de Broglie's wavelengths of proton, neutron, electron and α\alpha particle respectively, then choose the correct relation from the following:

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  3. Question 3

    27 Jun 2022

    13
    An α\alpha particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelength (λa:λC12)\left( \lambda_{a}:\lambda_{C12} \right) is:

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  4. Question 4

    24 Jan 2023

    105
    An α\alpha-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength?

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  5. Question 5

    6 Apr 2023

    15
    The kinetic energy of an electron, α\alpha-particle and a proton are given as 4 K,2 K4\text{ }K,2\text{ }K and KK respectively. The de-Broglie wavelength associated with electron ( λ\lambda e) α\alpha-particle (λα)(\lambda\alpha) and the proton (λp)(\lambda p) are as follows:

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  6. Question 6

    11 Apr 2023

    102
    The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy: (Assume mp=me×1849m_{p}=m_{e}\times 1849 )

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  7. Question 7

    9 Apr 2024

    1
    A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

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  8. Question 8

    28 Jan 2026 S1

    22
    The ratio of de Broglie wavelength of a deuteron with kinetic energy EE to that of an alpha particle with kinetic energy 2E2E, is n:1n:1. The value of nn is ____\_\_\_\_ . (Assume mass of proton == mass of neutron) :