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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2024 · Physics · Dual Nature of Matter

If φ is the work function of photosensitive material in eV and...

If ϕ\phi is the work function of photosensitive material in eV and light of wavelength of numerical value λ=hce\lambda=\frac{h c}{e} 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 hh-Plank's constant, cc-velocity of light in free space) is (in SI units):

Options

  1. Ae+2ϕe+2 \phi
  2. B2e−ϕ2 e-\phi
  3. Ce−ϕe-\phi
  4. De+ϕe+\phi

Correct answer

C. e−ϕe-\phi

Step-by-step solution

(K.E)max⁡=hcλ−ϕ0(\mathrm{K} . \mathrm{E})_{\max }=\frac{h c}{\lambda}-\phi_0 and λ=hce\lambda=\frac{h c}{e} ⇒(K.E)max⁡=hchce−ϕ0\Rightarrow(\mathrm{K} . \mathrm{E})_{\max }=\frac{h c}{\frac{h c}{e}}-\phi_0 ⇒(K.E)max⁡=e−ϕ0⇒(K.E.)max⁡=e⊣ϕ\Rightarrow(K . E)_{\max }=e-\phi_0 \Rightarrow(K . E .)_{\max }=e \dashv \phi
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