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Q.

If the wavelength of the incident radiation changes from λ1 to λ2 , then the maximum kinetic energy of the emitted photo electrons changes from K1 to K2, then the work function of the emitter surface is

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a

frac{{{lambda _1}{K_1} - {lambda _2}{K_2}}}{{{lambda _2} - {lambda _1}}}

b

frac{{{lambda _1}{K_2} - {lambda _2}{K_1}}}{{{lambda _1} - {lambda _2}}}

c

frac{{{K_2} - {K_1}}}{{{lambda _1}{K_1} - {lambda _2}{K_2}}}

d

frac{{{lambda _2} - {lambda _1}}}{{{lambda _2}{K_1} - {lambda _1}{K_2}}}

answer is A.

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Detailed Solution

E = {W_0} + K{E_{max ;}}

therefore frac{{hc}}{lambda } = {W_o} + K{E_{max }}

therefore hc = lambda {W_o} + Klambda

therefore lambda {W_o} + Klambda = constan t.

therefore {lambda _1}{W_o} + {K_1}{lambda _1} = {lambda _2}{W_o} + {K_2}{lambda _2}

therefore {W_o} = frac{{{lambda _1}{K_1} - {lambda _2}{K_2}}}{{{lambda _2} - {lambda _1}}}

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