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In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for the metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ______.
    Correct answer is '6'. Can you explain this answer?
    Most Upvoted Answer
    In a photoemission experiment, the maximum kinetic energies of photoel...
    Solution:

    Given, EP = 2EQ = 2ER
    Work functions, ϕP = 4.0 eV, ϕQ = 4.5 eV, ϕR = 5.5 eV

    Let the incident photon energy for metal P and Q be E. Then,

    - For metal P, the maximum kinetic energy of the photoelectron is EP = hν - ϕP
    - For metal Q, the maximum kinetic energy of the photoelectron is EQ = hν - ϕQ

    Since EP = 2EQ, we have

    hν - ϕP = 2(hν - ϕQ)
    hν - ϕP = 2hν - 2ϕQ
    hν = 2ϕQ - ϕP

    Substituting the values, we get

    hν = 2(4.5 eV) - 4.0 eV
    hν = 5.0 eV

    So, the incident photon energy for metal P and Q is 5.0 eV.

    Now, let the incident photon energy for metal R be E'. Then,

    - For metal R, the maximum kinetic energy of the photoelectron is ER = hν' - ϕR

    Since EP = 2ER, we have

    hν - ϕP = 2(hν' - ϕR)
    hν - ϕP = 2hν' - 2ϕR
    hν' = (hν + ϕR - ϕP)/2

    Substituting the values, we get

    hν' = (5.0 eV + 5.5 eV - 4.0 eV)/2
    hν' = 6.0 eV

    So, the incident photon energy for metal R is 6.0 eV.
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    Community Answer
    In a photoemission experiment, the maximum kinetic energies of photoel...
    Let ER = E
    Then EQ = E
    EP = 2E
    From Einstein's equation for P, Q and R,
    2E = hv - 4.0 ...(i)
    E = hv - 4.5 ...(ii)
    E = hv' - 5.5 ...(iii)
    Solving equations (i) and (ii), we get E = 0.5
    So, hv' = 6.0 eV
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    In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for the metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ______.Correct answer is '6'. Can you explain this answer?
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    In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for the metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ______.Correct answer is '6'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for the metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ______.Correct answer is '6'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for the metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ______.Correct answer is '6'. Can you explain this answer?.
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