**Core Concept**
The question is testing the recognition of a specific clinical condition characterized by atrophic dry nasal mucosa, extensive encrustations, and a 'woody' hard external nose. This condition is a result of chronic inflammation and scarring of the nasal mucosa and cartilage, leading to a distinctive appearance and symptoms.

**Why the Correct Answer is Right**
The correct answer is a condition known as Rhinitis sicca atrophicans, also referred to as atrophic rhinitis. This condition is characterized by atrophy of the nasal mucosa and underlying bone, leading to a decrease in nasal airflow and an increase in nasal discharge. The 'woody' hard external nose is a result of the scarring and fibrosis of the nasal cartilage and bone. The extensive encrustations and dry nasal mucosa are a result of the chronic inflammation and scarring of the nasal mucosa.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not accurately describe the clinical presentation of atrophic rhinitis. While rhinitis medicamentosa can cause nasal obstruction and crusting, it does not typically result in a 'woody' hard external nose.

**Option B:** This option is incorrect because it is a different condition altogether. Lupus vulgaris is a form of cutaneous tuberculosis that can cause skin lesions and scarring, but it does not typically affect the nasal mucosa or cause a 'woody' hard external nose.

**Option C:** This option is incorrect because it is a different condition that affects the nose, but it does not match the clinical presentation described in the question. Nasal polyps can cause nasal obstruction and discharge, but they do not typically result in a 'woody' hard external nose.

**Clinical Pearl / High-Yield Fact**
Atrophic rhinitis is often associated with a foul odor, known as ozena, which can be a distinguishing feature of the condition. This is due to the presence of volatile sulfur compounds in the nasal discharge.

**Correct Answer: D. Atrophic rhinitis**