We’re being asked to calculate for the maximum possible kinetic energy of the emitted electron from a sodium metal. When photons with enough energy hit the surface of a metal, electrons are emitted. This phenomenon is known as the Photoelectric Effect.

**Total energy (****ΔE)** in photoelectric effect can be calculated using the following equation:

$\overline{){\mathbf{\u2206}}{\mathit{E}}{\mathbf{=}}{{\mathit{E}}}_{\mathbf{w}\mathbf{o}\mathbf{r}\mathbf{k}\mathbf{}\mathbf{f}\mathbf{u}\mathbf{n}\mathbf{c}\mathbf{t}\mathbf{i}\mathbf{o}\mathbf{n}}{\mathbf{+}}{{\mathit{E}}}_{\mathbf{k}\mathbf{i}\mathbf{n}\mathbf{e}\mathbf{t}\mathbf{i}\mathbf{c}\mathbf{}\mathbf{e}\mathbf{n}\mathbf{e}\mathbf{r}\mathbf{g}\mathbf{y}}}$

**Where:**

• **Δ****E **is* the** total energy or the energy of the light/photon/radiation* and can be calculated using the equation:

$\overline{){\mathbf{\u2206}}{\mathbf{E}}{\mathbf{=}}{\mathbf{h\nu}}}$

E_{total energy} = J

h = Planck’s constant = 6.626x10^{-34} J∙s

ν = frequency = Hz or s^{-1}

• **E _{work function} **is

Sodium metal requires a photon with a minimum energy of 4.41 x 10 ^{-19} J to emit electrons. (c) If sodium is irradiated with light of 439 nm, what is the maximum possible kinetic energy of the emitted electrons?

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