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Dual Nature of Radiation question

2021 · 16 Mar · Shift 1 · Q57
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  5. /2021 · 16 Mar · Shift 1 · Q57

Dual Nature of Radiation question

2021 · 16 Mar · Shift 1 · Q57

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation :
  1. A
    Phase
  2. B
    Frequency
  3. C
    Amnplitude
  4. D
    Intensity
View written solutionFree

Correct answer: B

  1. In the photoelectric effect, 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 radiation
  • ϕ\phiϕ = work function of the metal
  1. The stopping potential V0V_0V0​ is the potential needed to stop the most energetic photoelectrons, so:

eV0=Kmax⁡eV_0 = K_{\max}eV0​=Kmax​

Substituting from Einstein’s equation:

eV0=hν−ϕeV_0 = h\nu - \phieV0​=hν−ϕ

or,

V0=hν−ϕeV_0 = \frac{h\nu - \phi}{e}V0​=ehν−ϕ​

  1. From this expression, the stopping potential depends directly on the frequency ν\nuν of the incident radiation.

  2. Now evaluate the options:

  • A: Phase — No, stopping potential does not depend on phase.
  • B: Frequency — Yes, correct.
  • C: Amplitude — No, amplitude affects field strength, not stopping potential directly.
  • D: Intensity — No, intensity affects the number of emitted electrons (photoelectric current), not the stopping potential.

Therefore, the correct answer is:

B: Frequency\boxed{\text{B: Frequency}}B: Frequency​

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