If light of wavelength λ1 is allowed to fall on a metal, then kinetic energy of photoelectrons emitted is E1 . If wavelength of light changes to λ2 then kinetic energy of electrons changes to E2. Then work function of the metal is
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a
E1E2λ1−λ2λ1λ2
b
E1λ1−E2λ2λ1−λ2
c
E1λ1−E2λ2λ2−λ1
d
λ1λ2E1E2λ2−λ1
answer is C.
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Detailed Solution
E=Wo+Kmax⇒hcλ1=Wo+E1 and hcλ2=Wo+E2⇒hc=Woλ1+E1λ1 and hc=Woλ2+E2λ2⇒Woλ1+E1λ1=Woλ2+E2λ2⇒Wo=E1λ1−E2λ2λ2−λ1.