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Threshold wavelength or work function from photoelectric readings at two wavelengths

This type of question, asked 8 times: 2021 Paper 12, 2021 Paper 15, 25 Jul 2022, 11 Apr 2023, 31 Jan 2024, 24 Jan 2026 S2, 2 Apr 2026 S1, 8 Apr 2026 S2. All 8 questions below, oldest first.

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  1. Question 1

    2021 Paper 12

    4
    When a metal is illuminated by light of wavelength λ\lambda, the stopping potential is V0V_{0} and for wavelength 2λ2\lambda, it is 3V03V_{0}. Then the threshold wavelength is?

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  2. Question 2

    2021 Paper 15

    14
    For a certain incident wavelength on a metal surface, the max KE of the photoelectron is 4.8eV4.8eV. If the incident wavelength is doubled, then the max KEKE changes to 1.6eV1.6eV. Then find the threshold wavelength for the metal surface.

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  3. Question 3

    25 Jul 2022

    17
    A metal exposed to light of wavelength 800 nm800\text{ }nm and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength 500 nm500\text{ }nm is used. The work function of the metal is (Take hc =1230eV−nm)= 1230eV - nm).

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  4. Question 4

    11 Apr 2023

    12
    A metallic surface is illuminated with radiation of wavelength λ\lambda, the stopping potential is VoV_{o}. If the same surface is illuminated with radiation of wavelength 2λ2\lambda, the stopping potential becomes V04\frac{V_{0}}{4}. The threshold wavelength for this metallic surface will be -

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  5. Question 5

    31 Jan 2024

    20
    When a metal surface is illuminated by light of wavelength λ\lambda, the stopping potential is 8 V8\text{ }V. When the same surface is illuminated by light of wavelength 3λ3\lambda, stopping potential is 2 V2\text{ }V. The threshold wavelength for this surface is:

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  6. Question 6

    24 Jan 2026 S2

    8
    When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V. If a second light having wavelength twice of first light is used, the stopping potential drops to 0.7 V. The wavelength of first light is ____\_\_\_\_ m. (h=6.63×10−34 J.s,e=1.6×10−19C,c=3×108 m/sh = 6.63 \times10^{- 34}\text{ }J.s,e = 1.6 \times10^{- 19}C,c = 3 \times10^{8}\text{ }m/s )

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  7. Question 7

    2 Apr 2026 S1

    17
    For a certain metal, when monochromatic light of wavelength λ\lambda is incident, the stopping potential for photoelectrons is 3V03V_{0}. When the same metal is illuminated by light of wavelength 2λ2\lambda, then the stopping potential becomes V0V_{0}. The threshold wavelength for photoelectric emission for the given metal is αλ\alpha\lambda. The value of α\alpha is ____\_\_\_\_ .

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  8. Question 8

    8 Apr 2026 S2

    18
    K1K_{1} and K2K_{2} be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ1\lambda_{1} and λ2\lambda_{2}, respectively. If λ1=2λ2\lambda_{1}= 2\lambda_{2} then the work function of material is given by :

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