Question

A photon has an energy of 5.53 × 10–17 j. what is its frequency in s–1 (h = 6.63 × 10–34 j • s)?

Answer 1

Given: Energy E = 5.53 X 10⁻¹⁷ J;     Velocity of light c = 2.998 x 10⁸ m/s

           Planck's constant h = 6.63 x 10⁻³⁴ J.s

Required: Frequency f = ?

Formula: E = hc/λ  and Frequency f = V/λ

               λ = (6.63 x 10⁻³⁴ J.s)(2.998 X 10⁸ m/s)/(5.53 x 10⁻¹⁷ J)

               λ = 3.59 X 10⁻⁹ m

For Frequency f = ?

               f = c/λ

               f = 2.998 x 10⁸ m/s/3.59 x 10⁻⁹m

               f = 8.35 x 10¹⁶ Hz  

Answer 2

The frequency of the photon is 8.34 × 10¹⁶ Hz

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 )

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 !

Given:

E = 5.53 × 10⁻¹⁷ m

h = 6.63 × 10⁻³⁴ Js

Unknown:

f = ?

Solution:

$E = h \times f$

$5.53 \times 10^{-17} = 6.63 \times 10^{-34} \times f$

$f = 5.53 \times 10^{-17} \div (6.63 \times 10^{-34})$

$f \approx 8.34 \times 10^{16} ~ Hz$

Learn more

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

Answer details

Grade: College

Subject: Physics

Chapter: Quantum Physics

Keywords: Quantum , Physics , Photoelectric , Effect , Threshold , Wavelength , Stopping , Potential , Copper , Surface , Ultraviolet , Light