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.]]
 
[[File:Espectro_dos_leds.png|thumb|alt=Espectro dos Leds|Figure 1: Led's spectrum.]]
The photoelectric cell is from the apparatus PASCO AP-9368. It works like a capacitor where an electric conductor emits photoelectrons.
+
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 potential of the photocell will increase with the emission of photoelectrons. And the stop potential will depend on the wavelength of the incident light, photoelectric effect.
+
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).
  
The photocell is connected to ground to discharge, after each use.  
+
After each experiment the photocell is connected to ground to discharge it.
  
The leds have different spectrum and intensities so the time to reach the stop potencial may vary.  
+
The leds have different quantum efficiency leading to different intensities for chosen bright leading to different times to reach the stop potential.  
  
 
{| border="1" style="text-align: center;"
 
{| border="1" style="text-align: center;"
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=Protocol=
 
=Protocol=
The number of photoelectrons emited will increase with the intensity of light. (corpuscular behavior of light)
+
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  
 
#Choose a led to light up on the photocell  
 
#Measure the stopping potential. Take note the time necessary to reach the maximum potential.
 
#Measure the stopping potential. Take note the time necessary to reach the maximum potential.
#Repit step 2 for diferent intensities.
+
#Repeat step 2 for different intensities.
  
 
{| border="1" style="text-align: center;"
 
{| border="1" style="text-align: center;"
|+ Exemple of a table  
+
|+ Example of a table  
 
|-
 
|-
 
!Color #1 __________(name)
 
!Color #1 __________(name)
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[[File:Constante de Planck.png|thumb|alt=Constante de Planck|Figure 2: Potential vs. Peaks Frequency of the spectrum ]]
 
[[File:Constante de Planck.png|thumb|alt=Constante de Planck|Figure 2: Potential vs. Peaks Frequency of the spectrum ]]
  
The photoelectron's kinetic energy depend only on the frequency of light. If the frequency of light increase the energy will increase.
+
The photoelectrons kinetic energy depend only on the frequency of light. If the frequency of light increase the energy will increase .
  
#Obtain the stop potentials for different color leds.
+
#Obtain the stop potentials for different colour leds.
 
#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.
 
#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.
  
  
 
{| border="1" style="text-align: center;"
 
{| border="1" style="text-align: center;"
|+ Exemple of a table  
+
|+ Example of a table  
 
|-
 
|-
!Color (name)
+
!Colour (name)
 
!Frequency (Hz)
 
!Frequency (Hz)
!Stop Potencial (V)
+
!Stop Potential (V)
 
|-
 
|-
 
 

Revision as of 23:36, 12 October 2012

Description of the Experiment

In this experiment is possible study the photoelectric effect and calculate Planck's constant by using 5 different coloured leds and a photoelectric cell.

Experimental Apparatus

Espectro dos Leds
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 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).

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.

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 up on the photocell
  2. Measure the stopping potential. Take 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  


Constante de Planck
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 .

  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