Data Analysis, Practical - Engineering - 10, Study notes of Engineering Physics

Photoelectric Effect

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2010/2011

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E X P E R I M E N T I
Keele University Physics/Astrophysics Laboratory
School of Physical and Geographical Sciences Experimental Scripts
68
Photoelectric Effect
1. Introduction
It has been observed that sufficiently short wavelength light incident on certain metal surfaces
emit electrons. This effect is known as the photoelectric effect which led to the postulation that light
consists of a flux of particles called photons with energy of hf (f is the frequency of the light and h is
Plank’s constant) by Albert Einstein in 1905. Crucial observations of the photoelectric effect which led
to the above postulation are:
a) Number of electrons emitted was proportional to the intensity of the incident light;
b) There was no emission of electrons below a critical frequency of the light irrespective of the
intensity of the light or the exposure time.
Classical physics was able to explain observation (a) but failed to explain observation (b). However,
Albert Einstein’s postulation that light consist of photons was able to explain the photoelectric effect.
The maximum kinetic energy of the electron released from the metal surface by a photon with energy
of hf is given by:
hfmv2
max
2
1
(1)
where
is the work function of the metal, m is the mass of the electron and vmax is the maximum
velocity of the ejected electron.
Planck's constant h can be determined by exposing a photocell to monochromatic light and measuring
the negative potential (Vo ) required to halt the ejected electrons with the maximum kinetic energy
collected by the anode. i.e.
o
eVmv
2
max
2
1
A schematic diagram of the experimental set up is shown in figure 1.
Figure 1: A schematic representation of such an experiment. F - Monochromatic filter, A - annular
anode and K - potassium surface (From Leybold Physics Leaflets).
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Keele University Physics/Astrophysics Laboratory 68

Photoelectric Effect

1. Introduction

It has been observed that sufficiently short wavelength light incident on certain metal surfaces emit electrons. This effect is known as the photoelectric effect which led to the postulation that light consists of a flux of particles called photons with energy of hf ( f is the frequency of the light and h is Plank’s constant) by Albert Einstein in 1905. Crucial observations of the photoelectric effect which led to the above postulation are:

a) Number of electrons emitted was proportional to the intensity of the incident light;

b) There was no emission of electrons below a critical frequency of the light irrespective of the intensity of the light or the exposure time.

Classical physics was able to explain observation (a) but failed to explain observation (b). However, Albert Einstein’s postulation that light consist of photons was able to explain the photoelectric effect.

The maximum kinetic energy of the electron released from the metal surface by a photon with energy of hf is given by:

mv max^2  hf 

where  is the work function of the metal, m is the mass of the electron and vmax is the maximum

velocity of the ejected electron.

Planck's constant h can be determined by exposing a photocell to monochromatic light and measuring the negative potential ( Vo ) required to halt the ejected electrons with the maximum kinetic energy

collected by the anode. i.e. mv^2 max eVo 2

A schematic diagram of the experimental set up is shown in figure 1.

Figure 1: A schematic representation of such an experiment. F - Monochromatic filter, A - annular anode and K - potassium surface (From Leybold Physics Leaflets).

Keele University Physics/Astrophysics Laboratory 69

If the anode voltage Vc is less than Vo , some of the ejected photoelectrons will be able to reach the anode to contribute to the photoelectric current Ip. Vo can be determined more accurately by the voltage ( Vc ) – current ( Ip ) dependency of the cell. Equation (1) can be written as:

e

f e

h V

eV hf

o

o

 

Planck's constant h can be determined by plotting a graph Vo vs ƒ.

Safety Notes: The high pressure mercury lamp also emits light in the UV range, and can therefore damage the eyes and irritate the skin.

 Never look into the direct or reflected beam of light from the high pressure mercury lamp.  Do not expose the skin to the light for longer than is necessary.

Figure 2: Typical set up for Planck's Constant experiment.

Keele University Physics/Astrophysics Laboratory 71

Complete the table using value of Vo.

λ (nm) ƒ (THz) Vo (V)

Plot a graph Vo against ƒ. Typical graph is shown in

Figure 4: Typical plot Vo against ƒ

3. Discussion

Compare and comments of your value of Plank’s Constant with the literature value of 6.62 x 10-34^ J s.

500 600 700 800

1

2

ƒ (THz)

Vo (V)