The energy of individual photons of 450 nm light is 4.42 × 10⁻¹⁹ Joule
Further explanation
The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is:
![\large {\boxed {E = h \times f}}](/tpl/images/0044/4823/a0d42.png)
E = Energi of A Photon ( Joule )
h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )
f = Frequency of Eletromagnetic Wave ( Hz )
The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.
![\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}](/tpl/images/0044/4823/f01d1.png)
![\large {\boxed {E = qV + \Phi}}](/tpl/images/0044/4823/21954.png)
E = Energi of A Photon ( Joule )
m = Mass of an Electron ( kg )
v = Electron Release Speed ( m/s )
Ф = Work Function of Metal ( Joule )
q = Charge of an Electron ( Coulomb )
V = Stopping Potential ( Volt )
Let us now tackle the problem!
Given:
λ = 450 nm = 450 × 10⁻⁹ m
Unknown:
E = ?
Solution:
![E = h f](/tpl/images/0044/4823/83980.png)
![E = h \frac{c}{\lambda}](/tpl/images/0044/4823/6373f.png)
![E = 6.63 \times 10^{-34} \frac{3 \times 10^8}{450 \times 10^{-9}}](/tpl/images/0044/4823/11610.png)
![\large {\boxed {E = 4.42 \times 10^{-19} ~ Joule } }](/tpl/images/0044/4823/4a767.png)
Learn morePhotoelectric Effect : linkStatements about the Photoelectric Effect : linkRutherford model and Photoelecric Effect : linkPhotoelectric Threshold Wavelength : linkAnswer details
Grade: High School
Subject: Physics
Chapter: Quantum Physics
Keywords: Quantum , Photoelectric , Effect , Threshold , Frequency , Electronvolt