Question

In his explanation of the threshold frequency in the photoelectric effect, Einstein reasoned that the absorbed photon must have a minimum energy to dislodge an electron from the metal surface. This energy is called the work function (Ф) of the metal. What is the longest wavelength of radiation (in nm) that could cause the photoelectric effect in each of these metals:
(a) calcium, Ф=4.60 × 10⁻¹⁹J

Answer 1

The wavelength of radiation that could cause the photoelectric effect in calcium is $&\lambda=4.32$×$10^{-7} m$

What is the photoelectric effect?

The photoelectric effect is a phenomenon that results in electrically charged particles being discharged from or within a substance when it absorbs electromagnetic radiation. When light strikes a metal plate, the action is frequently described as the ejection of electrons from the plate.

For calcium, the wavelength will be

$\begin{aligned}&\mathrm{E}=4.6^{*} 10^{-19} \mathrm{~J} \\&\mathrm{~h}=6.626^{*} 10^{-34} \mathrm{Js} \\&\mathrm{c}=3^{*} 10^{8} \mathrm{~m} / \mathrm{s} \\&\mathrm{E}=\frac{h c}{\lambda} \\&\lambda=\frac{h c}{E} \\&\lambda=\frac{6.626 * 10^{-34} \mathrm{Js} * 3 * 10^{8} \mathrm{~m} / \mathrm{s}}{4.6 * 10^{-19} \mathrm{~J}} \\&\lambda=4.32^{*} 10^{-7} \mathrm{~m}\end{aligned}$

The wavelength of radiation that could cause the photoelectric effect in calcium is $&\lambda=4.32$ ×$10^{-7} \mathrm{~m}$.

To know more about the photoelectric effect, visit: brainly.com/question/1279581

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