Explanations:The question involves understanding the historical and cultural context of Tamil Nadu and the demographics of Tamils in Sri Lanka. Let's break down each statement:
Statement 1: "Only after 4th century CE area of Tamil Nadu was opened up for large scale cultivation." This statement is true. Tamil Nadu has a long history of agriculture, and large-scale cultivation began around the 4th century CE. The region's fertile soil and favorable climate made it suitable for agriculture, and the development of irrigation systems further facilitated large-scale farming.
Statement 2: "Amaravati is the capital of Tamil Nadu." This statement is false. The capital of Tamil Nadu is Chennai, not Amaravati. Amaravati is a historical site located in Andhra Pradesh, known for its ancient Buddhist ruins and significance in the history of the region.
Statement 3: "In Sri Lanka, there are two subgroups of Tamils. Tamil natives of the country are called Sri Lankan Tamils and the rest are 'Indian Tamils'." This statement is true. The Tamils in Sri Lanka are divided into two subgroups based on their origins. Sri Lankan Tamils are the native Tamils who have lived in Sri Lanka for generations, while Indian Tamils are those who were brought to Sri Lanka during the colonial period, primarily for labor in the tea plantations.
Given these explanations, the correct answer is Option C, which states that only statement 3 is true. Statement 1 is true, but it is not included in the correct answer, and statement 2 is false, making it incorrect.
Understanding the historical and cultural context of Tamil Nadu and the demographics of Tamils in Sri Lanka is crucial for answering such questions accurately. It is important to distinguish between the historical timeline of agricultural development in Tamil Nadu and the political and social classifications of Tamils in Sri Lanka.