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Dual Nature of Radiation question

2021 · 27 Aug · Shift 1 · Q51
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Dual Nature of Radiation question

2021 · 27 Aug · Shift 1 · Q51

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
In a photoelectric experiment, increasing the intensity of incident light :
  1. A
    increases the number of photons incident and also increases the K.E. of the ejected electrons
  2. B
    increases the frequency of photons incident and increases the K.E. of the ejected electrons
  3. C
    increases the frequency of photons incident and the K.E. of the ejected electrons remains unchanged
  4. D
    increases the number of photons incident and the K.E. of the ejected electrons remains unchanged
View written solutionFree

Correct answer: D

  1. Photoelectric equation

    For photoelectric emission, the maximum kinetic energy of emitted electrons is given by Einstein’s photoelectric equation: Kmax⁡=hν−ϕK_{\max} = h\nu - \phiKmax​=hν−ϕ where:

    • hhh = Planck’s constant
    • ν\nuν = frequency of incident light
    • ϕ\phiϕ = work function of the metal
  2. Effect of increasing intensity

    Intensity of light is related to the number of photons incident per unit time (for a given frequency).

    So, when intensity increases without changing frequency:

    • the number of photons incident increases,
    • hence the number of emitted electrons may increase,
    • but the energy of each photon remains the same because photon energy is: E=hνE = h\nuE=hν
  3. Effect on kinetic energy of photoelectrons

    Since the frequency ν\nuν remains unchanged, from Kmax⁡=hν−ϕK_{\max} = h\nu - \phiKmax​=hν−ϕ the maximum kinetic energy of ejected electrons also remains unchanged.

  4. Evaluate options

    • A: increases number of photons and also increases K.E. of electrons → Incorrect
    • B: increases frequency and increases K.E. → Incorrect
    • C: increases frequency and K.E. unchanged → Incorrect
    • D: increases number of photons and K.E. unchanged → Correct
  5. Final answer

    Therefore, the correct option is: D\boxed{\text{D}}D​

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