**Core Concept**
Amoebic lung abscess, also known as pulmonary amoebiasis, is a rare but serious complication of amoebic liver abscess caused by Entamoeba histolytica. The condition involves the rupture of an amoebic liver abscess into the pleural space, leading to the formation of an abscess in the lung parenchyma.

**Why the Correct Answer is Right**
The most common cause of amoebic lung abscess is the rupture of an amoebic liver abscess into the pleural space. This typically occurs when the pressure within the liver abscess becomes too great, causing the abscess to rupture through the diaphragm and into the lung. The amoebae then infect the lung tissue, leading to the formation of an abscess. The rupture of the liver abscess into the pleural space is often facilitated by the presence of a diaphragmatic defect or a fistula.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because while amoebic liver abscess is a risk factor for amoebic lung abscess, it is not the direct cause of the lung abscess.
* **Option B:** This option is incorrect because aspiration of food or liquids is not a recognized cause of amoebic lung abscess.
* **Option C:** This option is incorrect because hematogenous spread of the amoebae is not a recognized mechanism for the development of amoebic lung abscess.

**Clinical Pearl / High-Yield Fact**
To remember the most common cause of amoebic lung abscess, recall that it is a complication of an underlying liver abscess, and the key to diagnosis is the presence of a pleural effusion with a high eosinophil count.

**Correct Answer:** C.