Question

The brightest emission line in the line spectrum of potassium is at 535 nm. what is the energy of the photon emitted?

Answer 1

We can use the plack equation for this, E = hv, where E is energy, h is the plack constant (6.626*10⁻³⁴ J*s) and v is the frequency. We were given a wavelength, which we'll call λ, where we can use v = c/λ (c is the speed of light = 3*10⁸ m/s) to plug into the plack equation. Doing so, we get E = hc/λ, where we can plug in numbers (remember 1 nm = 10⁻⁹ m) so E = (6.626*10⁻³⁴ J*s)*(3*10⁸ m/s)/(535 *10⁻⁹ m) = 3.72 *10⁻¹⁹ J and that's the energy of our photon emission

Answer 2

The energy of the photon emitted is about 3,72 × 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 :

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

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:

λ = 535 nm = 5.35 × 10⁻⁷ m

h = 6.63 × 10⁻³⁴ Js

c = 3 × 10⁸ m/s

Unknown:

E = ?

Solution:

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

$E = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{5.35 \times 10^{-7}}$

$E \approx 3.72 \times 10^{-19}$

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

Answer details

Grade: College

Subject: Physics

Chapter: Quantum Physics

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