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Q.

If light of wavelength corresponding to maximum intensity emitted from a surface of hot body at temperature T1 is used to cause photoelectric emission from a metallic surface, then maximum kinetic energy of the emitted photo electron is 6eV, which is 3 times the work function of the metallic surface. If the light of wavelength of maximum intensity emitted from a surface of same body at temperature T2(T2=2T1) is used, the maximum kinetic energy of photoelectrons emitted is (in eV)

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answer is 14.

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Detailed Solution

Case 1 : hcλ1=2eV+6eV⇒λ1=hc8eVCase 2 : hcλ2=2eV+KEmax⇒ λ2 λ1=T1T2=T2T=12 Wien's Displacement Law , λm∝1T    λ2=λ12⇒λ2=hc16eV∴16eV=2eV+KEmax⇒KEmax=14eV
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