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Light on a surface of negligible work function: relation between its wavelength and the photoelectrons' de Broglie wavelength

The same question, asked 2 times: 20 Apr 2025 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    20 Apr 2025 S2

    49
    A light of wavelength λ\lambda is incident on a photosensitive surface of negligible work function. The photoelectrons emitted from the surface have de-Broglie wavelength λ1\lambda_{1}. Then ratio λ:λ1 2\lambda:\lambda_{1}\ ^{2} is ( h=h = Planck's constant, c=c = velocity of light, m=m = mass of electron)

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  2. Question 2

    12 May 2026 S2

    145
    An electromagnetic wave of wavelength λ\lambda is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have de-Broglie wavelength λ1\lambda_1, then

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