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Dual Nature of Radiation and Matter question

2024 · Q181
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Dual Nature of Radiation and Matter question

2024 · Q181

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1

If ϕ\phiϕ is the work function of photosensitive material in eV\mathrm{eV}eV and light of wavelength of numerical value λ=hce\lambda=\frac{h c}{e}λ=ehc​ metre, is incident on it with energy above its threshold value at an instant then the maximum kinetic energy of the photo-electron ejected by it at that instant (Take hhh-Plank's constant, ccc-velocity of light in free space) is (in SI units):

  1. A
    e+2ϕe+2 \phie+2ϕ
  2. B
    2e−ϕ2 e-\phi2e−ϕ
  3. C
    e−ϕe-\phie−ϕ
  4. D
    e+ϕe+\phie+ϕ
View written solutionFree

Correct answer: C

The energy of the incident light is given by:

$$E = h \nu = \frac{hc}{\lambda}$$

where $h$ is Planck's constant, $c$ is the speed of light, and $\lambda$ is the wavelength of the light. Substituting the given value of $\lambda$, we get:

$$E = \frac{hc}{hc/e} = e$$

The maximum kinetic energy of the photoelectron is given by:

$KE_{max} = E - \phi$

where $\phi$ is the work function. Substituting the values, we get:

$KE_{max} = e - \phi$

Therefore, the correct answer is Option C.

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