When a light of suitable frequency incident on a metal
surface, electrons are emitted from the metal surface and these electrons are
called photo electrons. The corresponding current is called photo electric
current and the phenomena is called photo electric effect.
Photo electric effect is possible with any of the metal
surface when the light of suitable frequency is allowed to incident on the
metal surface. The incident frequency shall have a minimum value for this photo
electric effect to happen and the minimum frequency is called the threshold
frequency. When the incident frequency is more than threshold frequency, photo
electric effect can happen.
We can express the threshold value even in terms of
wavelength. Being frequency is reciprocal to wave length; threshold wavelength
is the maximum wavelength of the light that is allowed to incident on a metal
surface therefore photo electrons can be emitted. It means when the incident
light is having a wavelength less than the threshold wavelength, photo electric
effect is possible.
To observe the properties of photo electric effect , experimental
arrangement is made as shown below. The apparatus consists of a discharge due
with the cathode and anode. Light is allowed to incident on the cathode. The
anode is further connected to a rheostat and then further to input a voltage.
When the incident frequency is more than threshold frequency,
from the cathode photo electrons are emitted and the emitted photo electric
current is measured with the ammeter connected in the circuit.
It is noticed that the photo electric effect is instantaneous
process. It means immediately after the striking of light, photo electrons are
emitted. There is no time lag in between .
When the voltage is not applied, the photo electrons are not
having enough energy to continue travelling in the circuit and to make a
consistent current. The applied voltage is enabling the flow of the current
through the circuit.
When no voltage is applied, the released electrons get struck
between the cathode and anode and they are called stacked electrons. These
electrons further oppose the flow of the current and to overcome it, we need to
apply the voltage. With the applied voltage, we can notice a steady flow of
current in the circuit.
It is experimentally observed that, with the increase of
intensity of light, the corresponding photo electric current is also
increasing. The graph drawn between intensity of the light in the photo
electric current is a straight line passing through the origin.
When the positive plate of the battery is connected to the
anode and the negative plate is connected to cathode, there is an increase in
the photo electric current. If reverse voltage is applied to the cathode, that
is connecting a positive plate to the cathode, it is practically noticed that
with the increase of voltage, photo electric current starts decreasing.
At a particular reverse voltage, photo electric current
becomes zero and this particular voltage is called stopping potential. At the
stopping potential the kinetic energy of the electrons is compensated by the
potential energy acquired by the electron due to the stopping potential. We can
equate both the energies basing on the law conservation of energy.
It is also practically noticed that stopping potential is
independent of intensity of light. With different intensity of light, there may
be different photo electric currents. But for all the intensities, stopping
potentially is same. It is represented on the negative x-axis of the graph. On
this graph voltage is taken on x-axis and the photo electric current is taken
and y-axis.
It is also practically noticed that, stopping potentially is
a dependent of frequency of the incident light. It is noticeable that for
different frequencies of incident light, the corresponding stopping potentially
is different. It is also experimentally observed that change of the frequency
of the incident light is not going to affect the saturation current that is
generated.
It is experimentally observed that higher the incident
frequency, more the stopping potential.
We can draw a graph taking the incident frequency on x-axis
and the stopping potential on y-axis. The graph is as shown below. It is
observed that the incident frequency shall be more than threshold frequency for
the photo electric current to emit. Then only we can apply reverse voltage so
that somewhere in the photo electric current stops. Once if the applied
frequency is more than the threshold frequency, it is observed that with the
increase of frequency, the stopping potential also increases.
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