The correct answer of the question is option-2: High organic matter.

Aridisol is a soil order that is typically found in arid or semi-arid regions, where there is a lack of water for plants during most part of the year. This means that option-1 is correct.

Option-3 states that Aridisols have a large accumulation of carbonates at depth. Carbonates are commonly found in arid soils due to the process of evaporation, which leads to the formation and accumulation of carbonates. Therefore, option-3 is also correct.

Option-4 states that Aridisols have an absence of deep wide cracks. This is incorrect because Aridisols are often characterized by the presence of deep wide cracks, also known as shrink-swell cracks. These cracks are a result of the shrinkage and swelling of the soil due to alternating wet and dry conditions. Therefore, option-4 is correct.

Option-2 states that Aridisols have high organic matter. This is not correct. Arid environments typically have low organic matter content due to the limited decomposition of organic materials in the dry conditions. Therefore, option-2 is the correct answer.

In conclusion, the correct answer is option-2: High organic matter.