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← JEE Main 2026 · 8 Apr · Shift 2
PhysicsSingle correct+4 / -1Question 43 of 75

JEE Main 2026 · 8 Apr · Shift 2, Physics question 43

K1K_1 and K2K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ1\lambda_1 and λ2\lambda_2, respectively. If λ1=2λ2\lambda_1=2\lambda_2 then the work function of material is given by :

Choose one option
Answer and worked solution

Official answer: D

Einstein's equation. K1=hcλ1−ϕK_1=\dfrac{hc}{\lambda_1}-\phi and K2=2hcλ1−ϕK_2=\dfrac{2hc}{\lambda_1}-\phi.

Eliminate hc/λ₁. 2K1−K2=−ϕ2K_1-K_2=-\phi, so ϕ=K2−2K1\phi=K_2-2K_1.

(D)