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Q.

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.
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