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← JEE Main 2016 · 10 Apr · Shift 1
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JEE Main 2016 · 10 Apr · Shift 1, Physics question 21

A photoelectric surface is illuminated successively by monochromatic light of wavelengths λ and λ2\dfrac\lambda2. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface is :

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Answer and worked solution

Official answer: B

K1=hcλ−ϕK_1=\frac{hc}\lambda-\phi and K2=2hcλ−ϕ=3K1K_2=\frac{2hc}\lambda-\phi=3K_1. So 2ϕ=hcλ2\phi=\frac{hc}\lambda and ϕ=hc2λ\phi=\frac{hc}{2\lambda}.