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3 years ago

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Microwave ovens emit microwave energy with a wavelength of 12.6 cm. what is the energy of exactly one photon of this microwave r

adiation?

2 answers:

Helga [31]3 years ago

7 0

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

kirza4 [7]3 years ago

3 0

The energy of exactly one photon of this microwave radiation is about 1.58 × 10⁻²⁴ J

$\texttt{ }$

<h3>Further explanation</h3>

The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :

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

<em>E = Energi of A Photon ( Joule )</em>

<em>h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )</em>

<em>f = Frequency of Eletromagnetic Wave ( Hz )</em>

$\texttt{ }$

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.

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

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

<em>E = Energi of A Photon ( Joule )</em>

<em>m = Mass of an Electron ( kg )</em>

<em>v = Electron Release Speed ( m/s )</em>

<em>Ф = Work Function of Metal ( Joule )</em>

<em>q = Charge of an Electron ( Coulomb )</em>

<em>V = Stopping Potential ( Volt )</em>

Let us now tackle the problem !

$\texttt{ }$

<u>Given:</u>

c = 3 × 10⁸ m/s

h = 6.63 × 10⁻³⁴ Js

λ = 12.6 cm = 0.126 m

<u>Unknown:</u>

E = ?

<u>Solution:</u>

$E = h \times f$

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

$E = (6.63 \times 10^{-34}) \times \frac{3 \times 10^8}{0.126}$

$E = 1.58 \times 10^{-24} \texttt{ J}$

$\texttt{ }$

<h3>Learn more</h3>

Photoelectric Effect : brainly.com/question/1408276
Statements about the Photoelectric Effect : brainly.com/question/9260704
Rutherford model and Photoelecric Effect : brainly.com/question/1458544

$\texttt{ }$

<h3>Answer details</h3>

Grade: College

Subject: Physics

Chapter: Quantum Physics

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3 years ago