Respuesta :
We need the frequency of the photon, it is v = c/ λ
Where c is 3 x 10^8 ms^-1 and λ is the wave length
We also need the expression of connecting frequency to energy of photon
which is E = hv where h is Planck’s constant
Combining the two equations will give us:
E = h x c/λ
Inserting the values, we will have:
E = 6.626 x 10^-34 x 3 x 10^8 / 0.126
E = 1.578 x 10^ -24 J
The energy of exactly one photon of this microwave radiation is about 1.58 × 10⁻²⁴ J
[tex]\texttt{ }[/tex]
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 :
[tex]\large {\boxed {E = h \times f}}[/tex]
E = Energi of A Photon ( Joule )
h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )
f = Frequency of Eletromagnetic Wave ( Hz )
[tex]\texttt{ }[/tex]
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.
[tex]\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}[/tex]
[tex]\large {\boxed {E = qV + \Phi}}[/tex]
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 !
[tex]\texttt{ }[/tex]
Given:
c = 3 × 10⁸ m/s
h = 6.63 × 10⁻³⁴ Js
λ = 12.6 cm = 0.126 m
Unknown:
E = ?
Solution:
[tex]E = h \times f[/tex]
[tex]E = h \times \frac{c}{\lambda}[/tex]
[tex]E = (6.63 \times 10^{-34}) \times \frac{3 \times 10^8}{0.126}[/tex]
[tex]E = 1.58 \times 10^{-24} \texttt{ J}[/tex]
[tex]\texttt{ }[/tex]
Learn more
- Photoelectric Effect : https://brainly.com/question/1408276
- Statements about the Photoelectric Effect : https://brainly.com/question/9260704
- Rutherford model and Photoelecric Effect : https://brainly.com/question/1458544
[tex]\texttt{ }[/tex]
Answer details
Grade: College
Subject: Physics
Chapter: Quantum Physics
![Ver imagen johanrusli](https://us-static.z-dn.net/files/d82/531882f564665218da80e178932f9361.png)