A photoelectric surface is illuminated successively by monochromatic light of wavelength ‘λ' and 'λ/2'. If the maximum kinetic energy of the emitted photoelectrons in the first case in one-third that in the second case, the work function of the surface of the material is (c = speed of light, h = Planck's constant.) [MHT-CET 2023]

Question:

A photoelectric surface is illuminated successively by monochromatic light of wavelength ‘λ’ and ‘λ/2’. If the maximum kinetic energy of the emitted photoelectrons in the first case in one-third that in the second case, the work function of the surface of the material is (c = speed of light, h = Planck’s constant.) [MHT-CET 2023]

Options :

(a) hc/2λ
(b) hc/3λ
(c) 2hc/λ
(d) hc/λ

Answer :

(a) hc/2λ

Answer Steps :

step 1:

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In photoelectric effect, when certain metallic surface is illuminated with monochromatic light of wavelength ‘λ’, the stopping potential is ‘3V’. If the same surface is illuminated with light of wavelength ‘2λ’, the stopping potential is ‘V’. The threshold wavelength for this surface is : [MHT-CET 2022]

A photoelectric surface is illuminated successively by monochromatic light of wavelength ‘λ’ and ‘λ/2’. If the maximum kinetic energy of the emitted photoelectrons in the first case in one-third that in the second case, the work function of the surface of the material is (c = speed of light, h = Planck’s constant.) [MHT-CET 2023]

In photoelectric experiment the stopping potential was measured to be ‘V1’ and ‘V2’ volt with incident light of wavelength ‘λ’ and ‘λ/2’ respectively. The value of V2 is : [MHT-CET 2023]

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Related Questions

In photoelectric experiment the stopping potential was measured to be ‘V1’ and ‘V2’ volt with incident light of wavelength ‘λ’ and ‘λ/2’ respectively. The value of V2 is : [MHT-CET 2023]

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