A light source of wavelength λ illuminates a metal and ejects photo electrons with K.Emax =1ev Another light source of wavelength =λ3 , ejects photoelectrons from same metal with K.Emax =4ev find the value of work function ?

hϑ=hϑ+KEhcλ=hcλ0+13hcλ=hcλ0+43hcλ0+1=hcλ0+43hcλ0+3=hcλ0+42hcλ0=1hcλ0=12Work function = 0.5eV .

A light source of wavelength λ illuminates a metal and ejects photo electrons with K.Emax =1ev Another light source of wavelength =λ3 , ejects photoelectrons from same metal with K.Emax =4ev find the value of work function ?

hϑ=hϑ+KEhcλ=hcλ0+13hcλ=hcλ0+43hcλ0+1=hcλ0+43hcλ0+3=hcλ0+42hcλ0=1hcλ0=12Work function = 0.5eV .

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A light source of wavelength $λ$ illuminates a metal and ejects photo electrons with ${(K . E)}_{m a x} = 1 ev$ Another light source of wavelength $= \frac{λ}{3}$ , ejects photoelectrons from same metal with ${(K . E)}_{m a x} = 4 ev$ find the value of work function ?

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1 eV

2 eV

4 eV

0.5 eV

answer is D.

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Detailed Solution

$hϑ = hϑ + KE$

$\frac{hc}{λ} = \frac{hc}{λ_{0}} + 1$

$\frac{3 hc}{λ} = \frac{hc}{λ_{0}} + 4$

$3 (\frac{hc}{λ_{0}} + 1) = \frac{hc}{λ_{0}} + 4$

$\frac{3 hc}{λ_{0}} + 3 = \frac{hc}{λ_{0}} + 4$

$\frac{2 hc}{λ_{0}} = 1$

$\frac{hc}{λ_{0}} = \frac{1}{2}$

Work function = 0.5eV .

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A light source of wavelength λ illuminates a metal and ejects photo electrons with K.Emax =1ev Another light source of wavelength =λ3 , ejects photoelectrons from same metal with K.Emax =4ev find the value of work function ?

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A light source of wavelength $λ$ illuminates a metal and ejects photo electrons with ${(K . E)}_{m a x} = 1 ev$ Another light source of wavelength $= \frac{λ}{3}$ , ejects photoelectrons from same metal with ${(K . E)}_{m a x} = 4 ev$ find the value of work function ?