Concept:
A Uni-Junction Transistor (UJT) is a three-terminal semiconductor device that exhibits a distinct negative resistance region. Its characteristic curve is divided into three distinct operating regions:
• Cut-off Region: The emitter voltage is below the peak point triggering threshold. Only a small leakage current flows.
• Negative Resistance Region: Once the emitter voltage reaches the peak voltage ($V_p$), the device triggers open. Holes are injected into the base channel, increasing conductivity and causing the emitter voltage to drop even as the current increases.
• Saturation Region: The voltage drops to its valley point minimum ($V_v$) and then begins rising again linearly with current due to ohmic resistance limits.
Step 1: Analyzing the sequence of slopes along the V-I curve.
Let's follow the first-quadrant emitter characteristic curve from left to right as current increases:
• Initial Cut-off Phase: Emitter voltage increases with current. The slope ($\frac{dV}{dI}$) is positive.
• Peak Point Area: The curve reaches its maximum peak voltage ($V_p$). At this localized peak, the derivative slope briefly becomes zero.
• Triggered Drop Phase: Emitter voltage drops while current increases (the negative resistance effect). The slope ($\frac{dV}{dI}$) is negative.
• Valley Point Area: The curve reaches its lowest voltage point ($V_v$). At this localized minimum, the derivative slope briefly becomes zero again.
• Final Saturation Phase: The device acts like a standard resistor, where voltage rises along with increasing current. The slope ($\frac{dV}{dI}$) returns to positive.
Step 2: Matching the complete sequence.
Putting the steps together in order, the sequence of slopes is:
\[
\text{Positive} \rightarrow \text{Zero} \rightarrow \text{Negative} \rightarrow \text{Zero} \rightarrow \text{Positive}
\]
This precisely matches the sequence in option (2).
Hence, the correct choice is option (2).