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Photons with energies set multiples of the work function (or frequencies set multiples of the threshold): ratio of maximum photoelectron speeds

The same question, asked 4 times: 2021 Paper 26*, 14 Jun 2022, 28 Jul 2022*, 1 Feb 2023. Every wording below, oldest first.

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  1. Question 1

    2021 Paper 26

    24
    Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:yx:y. The value of xx is

  2. Question 2

    14 Jun 2022

    26
    When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1v_{1}. When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v2v_{2}. If v2=xv_{2}= x v1v_{1}, the value of xx will be

  3. Question 3

    28 Jul 2022

    107
    Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

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  4. Question 4

    1 Feb 2023

    104
    The threshold frequency of a metal is f0f_{0}. When the light of frequency 2f02f_{0} is incident on the metal plate, the maximum velocity of photoelectrons is v1v_{1}. When the frequency of incident radiation is increased to 5f05f_{0}, the maximum velocity of photoelectrons emitted is v2v_{2}. The ratio of v1v_{1} to v2v_{2} is:

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