Experiment
No. 2
Object:
- To determine Planck’s constant
using light emitting diodes [LED’s] by observing the ‘reverse photo-electric effect’.
Apparatus Required:-
Planck’s Constant kit and LED’s
Theory: The energy of a
photon is given by the equation:
E
= h
……..(1)
Where E is the energy of photon
is its frequency,
and h is a constant. In the case of the photoelectric effect, an electron is
emitted from a metal if the energy of the photon is greater than the work
function of the metal. If the energy of said photon is greater than the work
function of a given material then the electron emitted possesses a voltage,
which equals the difference in these energies. In the case of an LED’s the
opposite is true. If an electron of sufficient voltage is passed across a
material then a photon is emitted whose energy is equivalent to the work
function of that material. The voltage at which this effect observed is the
‘turn on voltage’. This effect is not normally observed in metals and other
typical substances because the photons emitted are usually outside the range of
visible light, usually somewhere in the infrared. The energy of the
photons emitted should then be the same as the energy of a given electron.
Since:
P = IV
…….
(2)
Where
P is power, I is current and V is the voltage of a system. The energy of one
electron is the charge of an electron (i.e. the current flow of one electron
per second in amps) times the voltage. Using this knowledge we then from the
equation:
E
= eV ………
(3)
Where, e = 1.6 × 10-19 C (electron
charge)
We
then solve equation (1) for h and
replace the E term with the equivalent of E in
equation (3), as well as replace
with:
Where c = 3×108 m/sec (speed of
light)
We then get:
This
equation we will use to determine Planck’s constant.
Procedure:
1.
Make the connection in the kit as
shown in the figure 1.
2.
Take the current measurement of each
LED by varying the voltage as given in the table.
3.
Plot the curve on the graph paper
between Voltage on X axis and current on Y axis.
4.
The linear portion of the I/V curve
is extra plotted back to the X axis .
5.
The intercept is the point at which
the voltage equals to the barrier potential. Put this value in table 2.
DIAGRAM:-
DIAGRAM:-
Observation
Table:
S.No.
|
Voltage
(Volts)
|
Current IRed (μA)
|
Current Iyellow (μA)
|
Current IGreen (μA)
|
Current IBlue (μA)
|
1
|
|||||
2
|
|||||
3
|
|||||
4
|
|||||
5
|
|||||
6
|
|||||
7
|
|||||
8
|
|||||
9
|
|||||
10
|
Calculation:
Planck’s
Constant is
Where
c = 3×108 m/sec (speed of light)
e = 1.6 × 10-19 C (electron
charge)
S.
No.
|
L.E.D.
Colour
|
Voltge
V
[Volts]
|
Wavelength
λ
[nm]
|
Frequency
[Hz]
|
Energy
[J]
|
1
|
Blue
|
430
|
|||
2
|
Green
|
565
|
|||
3
|
Yellow
|
590
|
|||
4
|
Red
|
627
|
Result:
Observed
value of Planck’s constant is h=…………………Js.
Percentage error:
(Standard value~ Observed Value) X 100
Standard Value
Source
of Error:-
1.
Some noise may be created in the
system during Experiment which can be minimized by immersing the diode in the
Ice during Experiment [if available].
2.
Connect the LED properly to Jack
provided on front panel.
VIVA-VOCE
Q.1. Define
Photoelectric effect?
Ans: When light
falls on metal surface, an
electron is emitted from a metal if the energy of the photon is greater than
the work function of the metal.
Q.2 What is Reverse
Photoelectric effect?
Ans: If an electron of sufficient
voltage is passed across a material then a photon is emitted whose energy is
equivalent to the work function of that material. The voltage at which this
effect observed is the ‘turn on voltage’. In case of LED reverse photoelectric
effect works.
Q.3 Can we observe reverse photoelectric with Metal surface?
Ans : This effect is not normally observed in metals and other typical
substances because the photons emitted are usually outside the range of visible
light, usually somewhere in the infrared Range.
Q.4 What is the full form of LED?
Ans: Full form of
LED is Light Emitting Diode.
Q.5 What is the
standard value of h.
Ans: h= 6.6x10-34 Js.
Q.6: What is LED?
Ans: A light-emitting diode (LED) is a semiconductor device that emits
visible light when an electric current passes through it.
Q.7 What is the learning outcome of this
practical?
Ans: Using this
practical we can find out the value of Planck constant using LED.
Thanks sir
ReplyDeleteI really impressed you sir, this practical question is very helpful and this value for time.