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Threshold frequency from the ratio of maximum kinetic energies at two frequencies

The same question, asked 4 times: 9 May 2024 S1*, 21 Apr 2025 S1*, 11 Apr 2026 S1*, 17 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2024 S1

    37
    From a metallic surface photoelectric emission is observed for frequencies v1v_1 and v2v_2 (v1>v2v_1>v_2) of the incident light. The maximum values of the kinetic energy of the photoelectrons emitted in the two cases are in the ratio 1:x1:x. Hence the threshold frequency of the metallic surface is

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  2. Question 2

    21 Apr 2025 S1

    34
    Photoelectric emission is observed from a metallic surface for frequencies v1v_{1} and v2v_{2} of the incident light rays (v1>v2)\left( v_{1}>v_{2} \right). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1:k1:k, then the threshold frequency of metallic surface is

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  3. Question 3

    11 Apr 2026 S1

    144
    Photoelectric emission is observed from a metallic surface for frequencies v1v_1 and v2v_2 of the incident light rays (v1>v2)(v_1 > v_2). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of k:1k : 1, then what is the threshold frequency of the metallic surface?

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  4. Question 4

    17 Apr 2026 S1

    143
    Photoelectric emission is observed from a metallic surface for frequencies ν1\nu_1 and ν2\nu_2 of the incident light rays (ν1>ν2)(\nu_1 > \nu_2). If the ratio of maximum value of kinetic energy of the photoelectron emitted in first case to that in second case 3 : K, then the threshold frequency of the metallic surface is

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