Concept:
• A standard semiconductor p-n junction inherently possesses a narrow depletion region strictly depleted of mobile charge carriers, maintaining a built-in potential barrier that fiercely opposes further natural diffusion.
• The built-in electric field consistently points stubbornly from the n-region (which has exposed positive donor ions) towards the p-region (which has exposed negative acceptor ions).
• Forward biasing is actively achieved by tightly connecting the external battery's positive terminal directly to the p-type region and the negative terminal to the n-type region.
• This specific external battery arrangement forces an external electric field that directly and aggressively opposes the internal built-in field, fundamentally weakening it.
Step 1: Evaluate the Assertion (A)
The assertion firmly claims that applying a forward bias actually increases the overall height of the internal barrier potential.
As detailed in the core concept, applying a forward bias inherently forces the majority carriers from both the p and n sides to aggressively rush towards the central junction.
This aggressive influx effectively shrinks the physical width of the depletion region.
Consequently, the net effective barrier potential is mathematically reduced from $V_0$ down to $(V_0 - V_{applied})$.
Because the barrier height is actually drastically reduced, allowing current to flow easily, the Assertion (A) is entirely physically false.
Step 2: Evaluate the Reason (R)
The reason claims that during forward biasing, the direction of the newly applied external voltage perfectly aligns in the exact same direction as the internal built-in potential.
Let's trace the fields carefully.
The internal built-in potential always directs from the n-side securely to the p-side.
In forward bias, the positive battery terminal connects to the p-side, and the negative to the n-side.
This rigorously creates an applied external electric field directing entirely from the p-side straight to the n-side.
Clearly, the applied field and the built-in field are pointing in perfectly opposite, anti-parallel directions, relentlessly fighting each other.
Therefore, the Reason (R) makes a fundamentally incorrect claim and is completely false.
Step 3: Conclusion
Both the Assertion and the Reason are riddled with fundamental physical errors regarding the basic operation of diodes. Therefore, both are entirely false, pointing strictly to option (D).