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JEE Main 202127 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Evening Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2021 · 27 August · Evening Shift · Physics · Dual Nature of Matter

A monochromatic neon lamp with wavelength of 670 . 5nm illuminates...

A monochromatic neon lamp with wavelength of 670.5nm670 . 5nm illuminates a photo-sensitive material which has a stopping voltage of 0.48V0 . 48V. What will be the stopping voltage if the source light is changed with another source of wavelength of 474.6nm474 . 6nm ?

Options

  1. A0.24V0 . 24V
  2. B1.5V1 . 5V
  3. C1.25V1 . 25V
  4. D0.96V0 . 96V

Correct answer

C. 1.25V1 . 25V

Step-by-step solution

eVs=hcλ−ϕ{eV}_{s} = \dfrac{hc}{\lambda} - ϕ

e(V′−V)=hc(1λ′−1λ)e\left({V}^{'} - V\right) = hc\left(\dfrac{1}{{\lambda}^{'}} - \dfrac{1}{\lambda}\right)

V′=hce(1λ′−1λ)+V{V}^{'} = \dfrac{hc}{e}\left(\dfrac{1}{{\lambda}^{'}} - \dfrac{1}{\lambda}\right) + V

=1240(1474−1670)+0.48=1.25eV= 1240\left(\dfrac{1}{474} - \dfrac{1}{670}\right) + 0 . 48 = 1 . 25eV

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