Question

Microwave ovens emit microwave energy with a wavelength of 12.3 cm. What is the energy of exactly one photon of this microwave radiation?

Answer 1

The energy of a photon is proportional to the speed of light and inversely proportional to the wavelength. The constant of proportionality is Planck's constant, 6.626 * 10^-34 Js

E = hc/ {wavelength} 
E = [ 6.626 * 10^-34 Js * 2.997 * 10^8 m/s ] / 0.124 m 
E = 1.60 * 10^-24 J

Answer 2

The energy of exactly one photon of this microwave radiation is about 1.62 × 10⁻²⁴ J

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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 :

$\large {\boxed {E = h \times f}}$

E = Energi of A Photon ( Joule )

h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )

f = Frequency of Eletromagnetic Wave ( Hz )

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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.

$\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}$

$\large {\boxed {E = qV + \Phi}}$

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 !

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Given:

c = 3 × 10⁸ m/s

h = 6.63 × 10⁻³⁴ Js

λ = 12.3 cm = 0.123 m

Unknown:

E = ?

Solution:

$E = h \times f$

$E = h \times \frac{c}{\lambda}$

$E = (6.63 \times 10^{-34}) \times \frac{3 \times 10^8}{0.123}$

$E = 1.62 \times 10^{-24} \texttt{ J}$

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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

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Answer details

Grade: College

Subject: Physics

Chapter: Quantum Physics