If the binding energy of an electron is 6.41 × 10 ^{− 19}J, what wavelength of photon is required to liberate it from the atom? Planck's constant = 6.626 × 10 ^{− 34}Js; c = 3.00 × 10 ⁸m\ s

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The energy of a photon is given by E = hc/λ. Solving for λ gives λ = hc/E. Substituting the given values, λ = (6.626 × 10^−34 Js)(3.00 × 10^8 m/s) / (6.41 × 10^−19 J) = 3.10 × 10^−7 m = 310 nm.

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