Q.

Light  of  wavelength  1824 Å,  incident  on  the surface of a metal, produces photo-electrons with maximum  energy  5.3  eV.  When  light  of wavelength 1216 Å is used, the maximum energy of photoelectrons is 8.7 eV. The work function of the metal surface is (approximately) in eV. (use hc = 12400 eVÅ)

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answer is 0001.50.

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Detailed Solution

KEmax=hCλ−ϕ5.3=124001824−ϕ .........(1)8.7=124001216−ϕ .........(2)Solving above equations we getϕ=1.50eV
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Light  of  wavelength  1824 Å,  incident  on  the surface of a metal, produces photo-electrons with maximum  energy  5.3  eV.  When  light  of wavelength 1216 Å is used, the maximum energy of photoelectrons is 8.7 eV. The work function of the metal surface is (approximately) in eV. (use hc = 12400 eVÅ)