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Work function or threshold frequency from the kinetic energies at two wavelengths or frequencies

This type of question, asked 10 times: 10 May 2023 S2, 11 May 2023 S2, 9 May 2024 S1, 10 May 2024 S1, 20 Apr 2025 S2, 21 Apr 2025 S1, 25 Apr 2025 S1, 11 Apr 2026 S1, 17 Apr 2026 S1, 19 Apr 2026 S1. All 11 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2023 S2

    16
    A photoelectric surface is illuminated successively by monochromatic light of wavelength 'λ\lambda' and λ2\frac{\lambda}{2}. If the maximum kinetic energy of the emitted photoelectrons in the first case is one-fourth that in the second case, the work function of the surface of the material is (c = speed of light, h = Planck's constant)

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  2. Question 2

    10 May 2023 S2

    47
    When a photosensitive surface is irradiated by lights of wavelengths 'λ1\lambda_1' and 'λ2\lambda_2', kinetic energies of the emitted photoelectrons is 'E1E_1' and 'E2E_2' respectively. The work function of the photosensitive surface is

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  3. Question 3

    11 May 2023 S2

    37
    A photoelectric surface is illuminated successively by monochromatic light of wavelength λ\lambda and (λ/3)(\lambda/3). If the maximum kinetic energy of the emitted photoelectrons in the second case is 4 times that in the first case, the work function of the surface of the material is (h=h = Planck's constant, c=c = speed of light)

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  4. Question 4

    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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  5. Question 5

    10 May 2024 S1

    26
    Maximum kinetic energy of photon is 'EE' when wavelength of incident radiation is 'λ\lambda'. If wavelength of incident radiations is reduced to λ3\frac{\lambda}{3} then energy of photon becomes four times. Then work function of the metal is

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  6. Question 6

    20 Apr 2025 S2

    44
    On a photosensitive material, when frequency of incident radiation is increased by 20%20\%, maximum kinetic energy of emitted photoelectrons increases from 0.4 eV to 0.7 eV . The work function of the material is

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  7. Question 7

    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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  8. Question 8

    25 Apr 2025 S1

    24
    When a metal surface is illuminated by light of wavelength λ1\lambda_{1} and λ2\lambda_{2}, the maximum velocities of photoelectrons ejected are V and 2 V respectively. The work function of the metal is ( h=h = Planck's constant, c=c= velocity of light, λ1>λ2\lambda_{1}>\lambda_{2} )

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  9. Question 9

    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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  10. Question 10

    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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  11. Question 11

    19 Apr 2026 S1

    144
    A photoelectric surface is illuminated successively by monochromatic light of wavelength λ\lambda and (λ/3)(\lambda/3). If the maximum kinetic energy of the emitted photo electrons in the second case is 44 times that in the first case, the work function of the surface of the material is (hh = Planck's constant, cc = speed of light)

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