Theory:Einstein's photoelectric effect showed how a metal becoming ionized through anincident light beam proved that the particle nature of light. The formula for theionization of a metal is:The Photoelectric Effecthf = 4+ KEmaxThe cutoff frequency, fe, corresponds to KEmax = 0. Therefore, p = hfc.Procedure:1. The Data Table below is for an experiment that was performed on a piece ofSodium metal.2. Make a best-fit straight-line graph of KEmax (Joules) vs. f (Hz). Your graphshould look like this:KEmax(0.0)Note: 1 eV = 1.6 x 10-¹9 Joules3. Determine the experimental value of Planck's constant, h, from this graphusing Excel.4. Determine an equation of the line. The y-intercept of the line is the workfunction, p, of the metal. 5. Write the equation of the line in the form y = mx + b:6. Convert the work function to eV.Results7. Extrapolate the line until it intersects the horizontal axis and vertical axis.8. The slope of the line is the experimental value of Planck's constant (h). Findthe % error for h using the formula below.I)II)11.810.69.99.18.26.9Y = 0.4157x2.3042Frequency (x10¹4 Hz)Work Function = p =.III) % error =Data TableExperimental value of Planck's constant, h =|6.63 x 10-34-h6.63 x 10-344=x 100Energy (eV)2.602.111.811.471.100.57

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Answered: Results I) Experimental value of…

Results I) Experimental value of Planck's constant, h= II) Work Function = p = III) % error = 6.63 x 10-34-h 6.63 x 10-34 |x 100 =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.

Question

Theory:
Einstein's photoelectric effect showed how a metal becoming ionized through an
incident light beam proved that the particle nature of light. The formula for the
ionization of a metal is:
The Photoelectric Effect
hf = 4+ KEmax
The cutoff frequency, fe, corresponds to KEmax = 0. Therefore, p = hfc.
Procedure:
1. The Data Table below is for an experiment that was performed on a piece of
Sodium metal.
2. Make a best-fit straight-line graph of KEmax (Joules) vs. f (Hz). Your graph
should look like this:
KEmax
(0.0)
Note: 1 eV = 1.6 x 10-¹9 Joules
3. Determine the experimental value of Planck's constant, h, from this graph
using Excel.
4. Determine an equation of the line. The y-intercept of the line is the work
function, p, of the metal.

5. Write the equation of the line in the form y = mx + b:
6. Convert the work function to eV.
Results
7. Extrapolate the line until it intersects the horizontal axis and vertical axis.
8. The slope of the line is the experimental value of Planck's constant (h). Find
the % error for h using the formula below.
I)
II)
11.8
10.6
9.9
9.1
8.2
6.9
Y = 0.4157x2.3042
Frequency (x10¹4 Hz)
Work Function = p =.
III) % error =
Data Table
Experimental value of Planck's constant, h =
|
6.63 x 10-34-h
6.63 x 10-34
4=
x 100
Energy (eV)
2.60
2.11
1.81
1.47
1.10
0.57

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Step 1: Introduce the Einstein's equation of photo electric effect

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Step 4: Calculate the percentage error in Planck's constant

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