The equation used by Albert Einstein to explain the photoelectric effect is:
[tex]\[E = h \times v\][/tex]
Here’s a detailed step-by-step breakdown:
1. Understanding the Photoelectric Effect:
- The photoelectric effect refers to the phenomenon where electrons are ejected from the surface of a material (usually a metal) when it is exposed to light of a certain frequency.
2. Key Variables:
- [tex]\(E\)[/tex]: The energy of the emitted electrons.
- [tex]\(h\)[/tex]: Planck's constant, a fundamental constant in quantum mechanics.
- [tex]\(v\)[/tex]: The frequency of the incident light.
3. Einstein’s Contribution:
- Einstein proposed that light could be thought of as consisting of particles called photons. Each photon has an energy proportional to its frequency.
4. Mathematical Formulation:
- Einstein’s equation for the photoelectric effect states that the energy [tex]\(E\)[/tex] of the emitted electrons is directly proportional to the frequency [tex]\(v\)[/tex] of the incident light and can be expressed as:
[tex]\[
E = h \times v
\][/tex]
To summarize, the choice that represents Albert Einstein’s equation for the photoelectric effect is:
[tex]\[ \boxed{E = h \times v} \][/tex]
