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JEE Main 2016
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Animated Solution for Physics - Semiconductors: Identify the semiconductor devices whose characteristics are as given below, in the order (a), (b), (c), (d).

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Visualized Solution

  • Forward bias: Current increases exponentially after the cut-in voltage.
  • Reverse bias: Very small, almost constant saturation current.
  • This perfectly matches the behavior shown in graph (a).

  • A Zener diode is a heavily doped p-n junction.
  • Forward bias is similar to a simple diode.
  • Reverse bias: Sharp, sudden increase in current at the breakdown voltage ().
  • This matches the sharp drop seen in graph (b).

  • A solar cell operates in the 4th quadrant of the plane.
  • In this region, voltage is positive but current is negative, meaning it generates power ().
  • The curve intersects the axes at Open Circuit Voltage () and Short Circuit Current ().
  • This matches the illuminated curve in graph (c).

  • LDR stands for Light Dependent Resistor (or Photoresistor).
  • Its resistance decreases non-linearly as light intensity increases due to the generation of more charge carriers.
  • This inverse relationship matches graph (d).

  • Graph (a) Simple Diode
  • Graph (b) Zener Diode
  • Graph (c) Solar Cell
  • Graph (d) Light Dependent Resistance
  • Therefore, the correct sequence is given by option (a).

The Sigma Insight: Optoelectronic Devices

Solution Diagram
The world of semiconductors is beautifully captured in their characteristic graphs. A simple plot of current versus voltage, or resistance versus light intensity, can tell us exactly what a device is designed to do. Let's embark on a journey to decode the four graphs presented in this problem and uncover the physical phenomena hiding behind each curve.

Decoding the Simple Diode

Let's start with graph (a). When we look at this characteristic, we see two distinct behaviors. In the forward bias region (positive voltage), the current stays near zero until it crosses a certain threshold—the cut-in voltage. After that, it shoots up exponentially. This happens because the applied voltage overcomes the built-in potential barrier of the depletion region, allowing majority charge carriers to flood across the junction.
On the flip side, in the reverse bias region (negative voltage), the current is almost non-existent. It's just a tiny, constant trickle known as the reverse saturation current, caused by the thermal generation of minority carriers. This one-way street behavior is the classic, unmistakable signature of a simple p-n junction diode.

The Zener Breakdown Phenomenon

Now, let's shift our focus to graph (b). At first glance, the forward bias curve looks identical to the simple diode. But the real magic happens in the reverse bias region. Instead of staying flat forever, the current suddenly spikes downwards at a very specific negative voltage.
This is not a mistake; it's a highly engineered feature! This sharp drop is the Zener breakdown. By heavily doping the p and n regions, the depletion layer becomes incredibly thin. When a specific reverse voltage is applied, the electric field becomes so intense that it literally rips electrons out of their covalent bonds, creating a massive surge of current. A device designed to operate safely in this region is the Zener diode, widely used as a voltage regulator.

Harnessing Light

The Solar Cell
Graph (c) introduces a fascinating twist. We see two curves here. The "Dark" curve behaves just like our simple diode. But look at what happens when the device is "Illuminated". The entire curve shifts downwards, plunging into the fourth quadrant of the plane.
Why is the fourth quadrant so special? In this region, the voltage is positive, but the current is negative. Mathematically, power is . A negative power means the device is not consuming energy; it is generating it! When photons of light strike the semiconductor, they create electron-hole pairs. The built-in electric field separates them, creating a potential difference. This device is actively converting light energy into electrical energy. This is the exact working principle of a Solar cell.

The Light Dependent Resistor (LDR)

Finally, we arrive at graph (d). Notice that the axes have changed. We are no longer looking at current versus voltage. Instead, we are plotting Resistance against the Intensity of light.
The curve shows that as the light intensity increases, the resistance drops dramatically in a non-linear fashion. This is the phenomenon of photoconductivity. When light hits the semiconductor material, it excites electrons from the valence band to the conduction band. More light means more free charge carriers, which translates to higher conductivity and, consequently, lower resistance. A device that exploits this property is called a Light Dependent Resistor (LDR) or photoresistor, commonly used in automatic street lights.

Bringing It All Together

By carefully analyzing the physical meaning behind each graph, we have successfully identified all four devices. Graph (a) is the Simple diode, graph (b) is the Zener diode, graph (c) is the Solar cell, and graph (d) is the Light Dependent Resistor.
Matching our findings with the given options, we can confidently conclude that the correct sequence is given by the first option. Understanding these graphs is not just about memorizing shapes; it's about visualizing the quantum dance of electrons and holes inside the semiconductor crystal!

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