Respuesta :

Answer:

6.383 x 10^14 Hz

Explanation:

we know that all the electromagnetic radiations moves with the velocity of light.

the velocity of light is 3 x 10^8 m/s.

The relation between the wave velocity, frequency and the wavelength is given by

v = f λ

Where, λ is wavelength and f be the frequency

f = v / λ

f = (3 x 10^8) / (470 x 10^-9)

f = 6.383 x 10^14 Hz

The frequency of Blue Light is 6.40 × 10¹⁴ 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:

[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 = 470 nm = 470 × 10⁻⁹ m

Unknown:

f = ?

Solution:

[tex]f = \frac{c}{\lambda}[/tex]

[tex]f = \frac{3 \times 10^8}{470 \times 10&{-9}}[/tex]

[tex]\large {\boxed {f \approx 6.40 \times 10^{14} ~ Hz} }[/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

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