contestada

Microwave ovens emit microwave energy with a wavelength of 13.0 cm. what is the energy of exactly one photon of this microwave radiation?

Respuesta :

skyluke89
First, let's calculate the frequency of this radiation, which is given by:
[tex]f= \frac{c}{\lambda} [/tex]
where c is the speed of light and [tex]\lambda[/tex] is the photon wavelength. For this radiation, photons have wavelength of
[tex]\lambda=13.0 cm=0.13 m[/tex]
Therefore their frequency is
[tex]f= \frac{c}{\lambda}= \frac{3 \cdot 10^8 m/s}{0.13 m}=2.3\cdot 10^9 Hz [/tex]

The energy of a photon with frequency f is given by
[tex]E=hf[/tex]
where h is the Planck constant. By using the frequency we found before, we find the energy of a single photon of this radiation:
[tex]E=hf=(6.6 \cdot 10^{-34} Js)(2.3 \cdot 10^9 Hz)=1.52 \cdot 10^{-24} J[/tex]
johanrusli

The energy of exactly one photon of this microwave radiation is 1.53 × 10⁻²⁴Joule

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 = 13.0 cm = 13.0 × 10⁻² 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}{13.0 \times 10^{-2}}[/tex]

[tex]\large {\boxed {E = 1.53 \times 10^{-24} ~ Joule } }[/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
  • 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

Otras preguntas