Verified Answer :

Answer:

\(E=4.847x10^{-19}J\)

Explanation:

Using the equation for energy:

\(E=\frac{hc}{\lambda}\)

where h is plack's constant:

\(h=6.626x10^{-34}J*s\)

and c is the velocity of light:

\(c=3x10^8m/s\)

and \(\lambda\) is the wavelength of the light:

\(\lambda=410.1 nm=410.1 x10^{-9}m\)

Thus, the energy E:

\(E=\frac{(6.626x10^{-34}J*s)(3x10^8m/s)}{410.1 x10^{-9}m}\)

\(E=4.847x10^{-19}J\)

The energy of the violet light emitted is about 4.85 × 10⁻¹⁹ Joule

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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:

λ = 410.1 nm = 4.101 × 10⁻⁷ m

h = 6.63 × 10⁻³⁴ Js

c = 3 × 10⁸ m/s

Unknown:

E = ?

Solution:

\(E = h \times \frac{c}{\lambda}\)

\(E = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{4.101 \times 10^{-7}}\)

\(E \approx 4.85 \times 10^{-19} \texttt{ Joule}\)

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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

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

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