Question
Explain the forward bias characteristics of $p-n$ junction diode with necessary graph.

Answer

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The circuit arrangement for studying the V-I characteristics of a diode, (i.e. Variation of current I as a function of applied voltage V ) is shown in fig. (a).
As shown in Fig., the battery is connected to the diode through a potentiometer (or rheostat) so that the applied voltage to the diode can be changed.
For different values of voltages, the value of current is noted. A graph between V and I is obtained as shown in fig. (b). For the forward bias, the current is of the order of $m A$.
As it is seen in the fig., in forward bias, the current first increases very slowly, almost negligibly till the voltage across the diode crosses a certain value.
After the characteristic voltage, the diode current increases significantly (exponentially) even for a very small increase in the diode bias voltage. This voltage is called the threshold voltage or cut-in voltage ( $\sim 0.2 V$ for germanium diode and $\sim 0.7 V$ for silicon diode).
For diodes, the ratio of small change in voltage $\Delta V$ to a small change in current $\Delta I$ is called dynamic resistance.
$r_d=\frac{\Delta V }{\Delta I }$
Its unit is ohm $(\Omega)$.
The resistance of the diode in forward bias mode is approximately between $10 \Omega$ to $100 \Omega$.

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Light emitting diode is a photoelectric device which converts electrical energy into light energy. It is a heavily doped $p-n$ junction diode which under forward biased emits spontaneous radiation. The general shape of the $I-V$ characteristics of an $\text{LED}$ is similar to that of a normal $p-n$ junction diode, as shown. The barrier potentials are much higher and slightly different for each colour.
  1. The $I-V$ characteristic of an $\text{LED}$ is:
  1. The schematic symbol of light emitting diode is $\text{(LED)}.$
  1. An $\text{LED}$ is constructed from a p-n junction based on a certain $Ga-$ As $-P$ semiconducting material whose energy gap is $1.9eV$. Identify the colour of the emitted light.
  1. Blue.
  2. Red.
  3. Violet.
  4. Green.
  1. Which one of the following statement is not correct in the case of light emitting diodes?
  1. It is a heavily doped $p-n$ junction.
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  3. It emits light only when it is reverse biased.
  4. The energy of the tight emitted is less than the energy gap of the semiconductor used.
  1. The energy of radiation emitted by $\text{LED}$ is:
  1. Greater than the band gap of the semiconductor used.
  2. Always less than the band gap of the semiconductor used.
  3. Always equal to the band gap of the semiconductor used.
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  2. $22.52A$
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  2. $1.5\mu\text{C}$
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  3. Both $V$ and $R$
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Light
$1$ Violet
$2$ Blue
$3$ Green
$4$ Yellow
$5$ Orange
$6$ Red
$\lambda(\text{in } \mathring{\text{A}})$
$4000-500$ $4500-5000$ $5000-5500$ $5500-6000$ $6000-6500$ $6500-7000$
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  1. $8\times10^8\Omega$
  2. $16\times10^6\Omega$
  3. $8\times10^6\Omega$
  4. $10\times10^6\Omega$
  1. It is found that ammeter current remains unchanged $(2\mu\text{A})$ even when the jockey is moved from the end $P$ to the middle point of the potentiometer wire. Assuming that all the incident photons eject electrons and the power of the light incident is $4\times10^{-6}\Omega$. Then, the color of the incident light is:
  1. Green
  2. Violet
  3. Red
  4. Orange
  1. Which of the following colors may not give photoelectric effect for this cathode?
  1. Green
  2. Violet
  3. Red
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  1. When other light falls on the anode plate, the anuneter reading zero till jockey is moved from the end $P$ to the middle point of the wire $PQ$. Therefore, the deflection is recorded in the anuneter. The maximum kinetic energy of the emitted electron is:
  1. $16eV$
  2. $8eV$
  3. $4eV$
  4. $10eV$
  1. If the intensity of incident radiation is increased twice, the number of photoelectrons emitted per second will be:
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  2. Double
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  4. Four times
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  1. The change in electric potential of the proton between the points $A$ and $B$ is:
  1. The potential energy of proton decreases.
  2. The potential energy of proton increases.
  3. The proton loses kinetic energy.
As the proton moves from $P$ to $Q,$ then:
  1. $-1.1J$
  2. $2J$
  3. $2.5J$
  4. $3J$
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  1. $1.56 \times 10^{-14}J$
  2. $5.5 \times 10^{-14}J$
  3. $2.56 \times 10^{-14}J$
  4. $4.56 \times 10^{-14}J$
The mutual electrostatic potential energy between two protons which are at a distance of $9 \times 10^{-15}m, in _{92}U^{235 }$ nucleus is:
  1. $1.6 \times 10^{11}J$
  2. $0.5 \times 10^{23}J$
  3. $-1.6 \times 10^{-11}J$
  4. $3.2 \times 10^{22}J$
The change in electric potential energy of the proton for displacement from $A$ to $B$ is:
  1. $-1 \times 10^8V$
  2. $1 \times 10^8V$
  3. $6.4 \times 10^{-19}V$
  4. $-6.4 \times 10^{-19}V$
Total energy of the proton increases.