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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2015 · Physics · Dual Nature of Matter

A photoelectric surface is illuminated successively by...

A photoelectric surface is illuminated successively by monochromatic light of wavelength λ\lambda and λ2\dfrac{\lambda}{2}. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface of the material is:
(hh = Planck's constant, cc = speed of light)

Options

  1. Ahcλ\dfrac{hc}{\lambda}
  2. B2hcλ\dfrac{2hc}{\lambda}
  3. Chc3λ\dfrac{hc}{3\lambda}
  4. Dhc2λ\dfrac{hc}{2\lambda}

Correct answer

D. hc2λ\dfrac{hc}{2\lambda}

Step-by-step solution

k1=hcλ−ψ{k}_{1} = \dfrac{hc}{\lambda} - ψ

k2=3k1=2hcλ−ψ=3hcλ−3ψ{k}_{2} = 3{k}_{1} = \dfrac{2hc}{\lambda} - ψ = \dfrac{3hc}{\lambda} - 3ψ

So 2ψ=hcλ2ψ = \dfrac{hc}{\lambda} So ψ=hc2λψ = \dfrac{hc}{2\lambda}
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