11.27 Monochromatic radiation of wavelength 640.2 nm (1nm = 10–9 m) from a neon lamp irradiates photosensitive material made of cesium on tungsten. The stopping voltage is measured to be 0.54 V. The source is replaced by an iron source and its 427.2 nm line irradiates the same photo-cell. Predict the new stopping voltage.

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    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    11.27 Wavelength of the monochromatic light, λ = 640.2 nm = 640.2 ×10-9m

    Stopping potential of neon lamp, V0 = 0.54 V

    Charge of an electron, e = 1.6 ×10-19C

    Planck’s constant, h = 6.626 ×10-34 Js

    Speed of light, c = 3 ×108 m/s

    Let 0 be the work function and ν frequency of emitted light

    We have the photo-energy relation from the photoelectric effect as:

    eV0 = hν-0 = h cλ - 0

    0=hcλ - eV0

    6.626×10-34×3×108640.2×10-9 - 1.6 ×10-19×0.54

    = 3.105 ×10-19 - 0.864 ×10-19

    = 2.241 ×10-19 J

    2.241×10-191.6×10-19 eV

    =1.40 eV

    The wavelength of the radiation emitted from an iron source, λ' = 427.2 nm = 427.2

    ...more

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