Respuesta :

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:

[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 )

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!

Given:

λ = 450 nm = 450 × 10⁻⁹ m

Unknown:

E = ?

Solution:

[tex]E = h f[/tex]

[tex]E = h \frac{c}{\lambda}[/tex]

[tex]E = 6.63 \times 10^{-34} \frac{3 \times 10^8}{450 \times 10^{-9}}[/tex]

[tex]\large {\boxed {E = 4.42 \times 10^{-19} ~ Joule } }[/tex]

Learn more

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  • Photoelectric Threshold Wavelength : https://brainly.com/question/10015690

Answer details

Grade: High School

Subject: Physics

Chapter: Quantum Physics

Keywords: Quantum , Photoelectric , Effect , Threshold , Frequency , Electronvolt

Ver imagen johanrusli

We have that the energy of individual photons of 450 nm light have is

[tex]E=4.417*10^{-9}J/photon[/tex]

From the Question we are told that

Wavelength [tex]l=450 nm[/tex]

Generally the equation for energy   is mathematically given as

[tex]E=\frac{hc}{\lambda}[/tex]

Where

[tex]h= 6.626*10^-{34}\\\\c=3.00*10^7m.s[/tex]

Therefore

[tex]E=\frac{(6.626*10^-{34})(3.00*10^7)}{450*10^{-9}}[/tex]

[tex]E=4.417*10^{-9}J/photon[/tex]

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