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De Broglie wavelength of a particle compared with a photon

This type of question, asked 7 times: 2021 Paper 7, 2021 Paper 15, 2021 Paper 16, 26 Jun 2022, 28 Jun 2022, 29 Jan 2024, 28 Jan 2025. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 7

    5
    An electron of mass mm and a photon have same energy EE. The ratio of wavelength of electron to that of photon is : (c being the velocity of light)

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  2. Question 2

    2021 Paper 15

    4
    If velocity of photon is CC and that of electron is vv, then find the ratio of KEKE of electron to photon if their de-Broglie wavelength is same.

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  3. Question 3

    2021 Paper 16

    4
    A particle of mass 9.1×10−31 kg9.1 \times10^{- 31}\text{ }kg moving with a velocity 106 m/s10^{6}\text{ }m/s has de Broglie wavelength λ1\lambda_{1}. A photon of momentum 10−27kgm/s10^{- 27}kgm/s has wavelength λ2⋅\lambda_{2}\cdot Find λ2λ1\frac{\lambda_{2}}{\lambda_{1}}

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  4. Question 4

    26 Jun 2022

    17
    An electron with speed vv and a photon with speed cc have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are EeE_{e} and pep_{e} and that of photon are EphE_{ph} and pphp_{ph} respectively. Which of the following is correct?

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  5. Question 5

    28 Jun 2022

    14
    The de Broglie wavelengths for an electron and a photon are λe\lambda_{e} and λp\lambda_{p} respectively. For the same kinetic energy of electron and photon. which of the following presents the correct relation between the de Broglie wavelengths of the two?

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  6. Question 6

    29 Jan 2024

    13
    The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is 25%25\% of the velocity of light, then the ratio of K.E. of electron and K.E. of photon will be:

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  7. Question 7

    28 Jan 2025

    18
    A proton of mass ' mp′m_{p}^{'} ' has same energy EE as that of a photon of wavelength ' λ\lambda '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.

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