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De Broglie wavelength when the kinetic energy or accelerating potential changes

This type of question, asked 14 times: May 2022 S1, 4 May 2023 S2, 10 May 2023 S1, 11 May 2023 S1, 15 May 2023 S1, 10 May 2024 S1, 10 May 2024 S2, 12 May 2024 S2, 14 May 2024 S1, 19 Apr 2025 S2, 23 Apr 2025 S1, 13 Apr 2026 S2, 17 Apr 2026 S1, 18 Apr 2026 S1. All 14 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    May 2022 S1

    12
    If the kinetic energy of a free electron doubles, its de Broglie wavelength λ\lambda changes by a factor

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  2. Question 2

    4 May 2023 S2

    27
    The kinetic energy of an electron is increased by 2 times, then the de-Broglie wavelength associated with it changes by a factor.

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  3. Question 3

    10 May 2023 S1

    44
    If the potential difference used to accelerate electrons is increased four times, by what factor does the de Broglie wavelength associated with the electrons change?

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  4. Question 4

    11 May 2023 S1

    43
    If the potential difference used to accelerate electrons is doubled. By what factor does the de Broglie wavelength (λ\lambda) associated with the electrons change?

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  5. Question 5

    15 May 2023 S1

    29
    Electrons are accelerated through a potential difference of 16 kV. If the potential difference is increased to 64 kV, then de-Broglie wavelength associated with electron will

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  6. Question 6

    10 May 2024 S1

    21
    An electron accelerated through potential V1V_1 has de Broglie wavelength λ\lambda. When potential changes to V2V_2 wavelength increases by 50%. The value of V1V2\frac{V_1}{V_2} is

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  7. Question 7

    10 May 2024 S2

    28
    If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with electrons change?

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  8. Question 8

    12 May 2024 S2

    47
    When an electron is accelerated through a potential difference 'VV', the de-Broglie wavelength associated with it is 'λ\lambda'. When the accelerating potential is increased to 4V4V, its wavelength will be

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  9. Question 9

    14 May 2024 S1

    38
    The de-Broglie wavelength (λ\lambda) of a particle is related to its kinetic energy (E) as

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  10. Question 10

    19 Apr 2025 S2

    24
    An electron accelerated by a potential difference ' VV ' has de-Broglie wavelength ' λ\lambda '. If the electron is accelerated by a potential difference ' 9 V ', its de-Broglie wavelength will be

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  11. Question 11

    23 Apr 2025 S1

    27
    The energy that should be added to an electron to reduce its de-Broglie wavelength from λ\lambda to λ2\frac{\lambda}{2} is nn times the initial energy. The value of ' nn ' is

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  12. Question 12

    13 Apr 2026 S2

    145
    An electron accelerated through a potential difference V1V_1 has a de-Broglie wavelength of λ\lambda. When the potential is changed to V2V_2, its de-Broglie wavelength increases to 2λ2\lambda. The value of (V1/V2)(V_1/V_2) is equal to

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  13. Question 13

    17 Apr 2026 S1

    144
    The kinetic energy of a free electron increases to 3 times the previous K.E. The ratio of new de-Broglie wavelength to previous de-Broglie wavelength is

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  14. Question 14

    18 Apr 2026 S1

    144
    If the kinetic energy of a particle is increased to 16 times, the percentage change in the de Broglie wavelength of a particle is

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