Difference between revisions of "Determination of Planck's Constant"

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=Experimental Apparatus=
 
=Experimental Apparatus=
[[File:Espectro_dos_leds.png|thumb|alt=Espectro dos Leds|Figure 1: Led's spectrum.]]
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[[File:Espectro_dos_leds.png|thumb|alt=Led's spectrum|Figure 1: Led's spectrum.]]
The photoelectric cell is from the apparatus PASCO AP-9368. It works like a capacitor where an electric conductor target emits photoelectrons when excited by light.
+
The photoelectric cell is from the apparatus PASCO AP-9368. It works like a capacitor where one of the plates emits photoelectrons when excited by light.
The potential of the photocell capacitor armature will increase with the emitted photoelectron accumulation. After reaching a certain voltage, the stop potential, no more photoelectrons will have enough energy to reach the second armature. This voltage will depend on the wavelength of the incident light (photon energy).
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The potential between the plates of the photocell will increase with the emitted photoelectron accumulation. After reaching a certain voltage, the stopping potential, no more photoelectrons will have enough energy to reach the second plate. This voltage will depend on the wavelength of the incident light (photon energy).
  
 
After each experiment the photocell is connected to ground to discharge it.
 
After each experiment the photocell is connected to ground to discharge it.
  
The leds have different quantum efficiency leading to different intensities for chosen bright leading to different times to reach the stop potential.  
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The leds have different efficiency leading to different intensities for chosen brightness. Therefore, the charging time will be different between colors.
  
 
{| border="1" style="text-align: center;"
 
{| border="1" style="text-align: center;"
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=Protocol=
 
=Protocol=
The number of photoelectrons emitted will increase with the intensity of light. (corpuscular behaviour of light)
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The number of photoelectrons emitted will increase with the intensity of light (corpuscular behaviour of light).
  
#Choose a led to light up on the photocell  
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#Choose a led to light upon the photocell  
#Measure the stopping potential. Take note the time necessary to reach the maximum potential.
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#Measure the stopping potential. Note the time necessary to reach the maximum potential.
 
#Repeat step 2 for different intensities.
 
#Repeat step 2 for different intensities.
  
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[[File:Constante de Planck.png|thumb|alt=Constante de Planck|Figure 2: Potential vs. Peaks Frequency of the spectrum ]]
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[[File:Constante de Planck.png|thumb|alt=Planck's constant|Figure 2: Potential vs. Peaks Frequency of the spectrum ]]
  
The photoelectrons kinetic energy depend only on the frequency of light. If the frequency of light increase the energy will increase .
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The photoelectron's kinetic energy depends only on the frequency of the incident light. If the frequency of light increases, the energy will increase.
  
 
#Obtain the stop potentials for different colour leds.
 
#Obtain the stop potentials for different colour leds.

Revision as of 21:40, 18 March 2013

Description of the Experiment

The purpose of this experiment is to study the photoelectric effect and calculate Planck's constant using 5 different coloured leds and a photoelectric cell.


Experimental Apparatus

Led's spectrum
Figure 1: Led's spectrum.

The photoelectric cell is from the apparatus PASCO AP-9368. It works like a capacitor where one of the plates emits photoelectrons when excited by light. The potential between the plates of the photocell will increase with the emitted photoelectron accumulation. After reaching a certain voltage, the stopping potential, no more photoelectrons will have enough energy to reach the second plate. This voltage will depend on the wavelength of the incident light (photon energy).

After each experiment the photocell is connected to ground to discharge it.

The leds have different efficiency leading to different intensities for chosen brightness. Therefore, the charging time will be different between colors.

Table 1 – Led's spectrum peaks
Color Frequency (THz) Wavelegth (nm) Espectros dos leds
Blue.ab 638.7 469.70 File:Espectro Azul.ab.txt
Blue 684.6 438.20 File:Espectro Azul.txt
Red 482.2 622.21 File:Espectro Vermelho.txt
Yellow 514.4 583.16 File:Example.txt
Green 530.8 565.22 File:Espectro Verde.txt


Protocol

The number of photoelectrons emitted will increase with the intensity of light (corpuscular behaviour of light).

  1. Choose a led to light upon the photocell
  2. Measure the stopping potential. Note the time necessary to reach the maximum potential.
  3. Repeat step 2 for different intensities.
Example of a table
Color #1 __________(name) Intensity (%) Stop Potential (V) Time (s)
  100    
  80    
  60    
  40  
  20  


Planck's constant
Figure 2: Potential vs. Peaks Frequency of the spectrum

The photoelectron's kinetic energy depends only on the frequency of the incident light. If the frequency of light increases, the energy will increase.

  1. Obtain the stop potentials for different colour leds.
  2. Draw a graphic of Stop Potential vs Frequency. Fit it to \( V = \frac{h}{e} \nu - \frac{W_0}{e} \) and obtain Planck's constant.


Example of a table
Colour (name) Frequency (Hz) Stop Potential (V)
 
 
 
 
 


Advanced Protocol

Under construction.


Links