Iron has a work function (0) of 4.50 eV. What is the longest wavelength of light, in nm, that will cause the ejection of electrons? (1 eV=1.6 x 10 19 J)
Iron has a work function (0) of 4.50 eV. What is the longest wavelength of light, in nm, that will cause the ejection of electrons? (1 eV=1.6 x 10 19 J)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Photoelectric Effect and Work Function Calculation**
Iron has a work function (Φ) of 4.50 eV. What is the longest wavelength of light, in nanometers (nm), that will cause the ejection of electrons? Given: 1 eV = 1.6 × 10⁻¹⁹ J.
**Explanation:**
The work function is the minimum energy required to eject an electron from the surface of a material. To find the longest wavelength (λ) of light that can achieve this, we can use the equation:
\[ E = \frac{hc}{λ} \]
Where:
- \( E \) is the energy in joules,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)),
- \( c \) is the speed of light (\(3 \times 10^8 \, \text{m/s}\)).
Convert the work function from eV to joules:
\[ E = 4.50 \, \text{eV} \times 1.6 \times 10^{-19} \, \text{J/eV} \]
Plug this energy value into the equation to find the wavelength:
\[ λ = \frac{hc}{E} \]
Calculate to find the longest wavelength that can cause the ejection of electrons.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81a44892-e725-436e-9c8e-21f599a0ba84%2F66ea3520-16e4-40de-94fd-37aabc24c909%2F9qmcxv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Photoelectric Effect and Work Function Calculation**
Iron has a work function (Φ) of 4.50 eV. What is the longest wavelength of light, in nanometers (nm), that will cause the ejection of electrons? Given: 1 eV = 1.6 × 10⁻¹⁹ J.
**Explanation:**
The work function is the minimum energy required to eject an electron from the surface of a material. To find the longest wavelength (λ) of light that can achieve this, we can use the equation:
\[ E = \frac{hc}{λ} \]
Where:
- \( E \) is the energy in joules,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)),
- \( c \) is the speed of light (\(3 \times 10^8 \, \text{m/s}\)).
Convert the work function from eV to joules:
\[ E = 4.50 \, \text{eV} \times 1.6 \times 10^{-19} \, \text{J/eV} \]
Plug this energy value into the equation to find the wavelength:
\[ λ = \frac{hc}{E} \]
Calculate to find the longest wavelength that can cause the ejection of electrons.
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