Explanation: To understand the context of this question, it is essential to know the geography and history of Tamil Nadu.
**Chennai as the Capital of Tamil Nadu:**
Chennai, formerly known as Madras, is the capital city of the state of Tamil Nadu. It is located on the Coromandel Coast off the Bay of Bengal and is the fourth-largest metropolitan area in India. Chennai is a significant economic and cultural center in South India and is known for its rich history, diverse culture, and industrial importance.
**Kailasa Dam:**
The Kailasa Dam, also known as the Kailasanathar Temple, is a historical temple located in Kanchipuram, Tamil Nadu. However, the question refers to the Kailasa Dam, which is a dam built across the Kaveri River in Thanjavur District. This dam is not the first dam built in India. The first dam in India was the Kallanai Dam, also known as the Grand Anicut, which was built by the Chola king Karikala in the 2nd century AD. The Kallanai Dam is located in the Thanjavur District of Tamil Nadu and is still in use today. Therefore, the statement about the Kailasa Dam being the first dam in India is incorrect.
**Palas Dynasty:**
The Palas were a major power in the eastern part of the Indian subcontinent, primarily ruling over the regions of Bengal and Bihar. They did not have any significant rule over the present-day state of Tamil Nadu. The rulers of Tamil Nadu during the period of the Palas were the Pallavas, Cholas, and Pandyas. Therefore, the statement that the Palas ruled over present-day Tamil Nadu is incorrect.
In conclusion, the correct answer is (B) Only 1, as Chennai is indeed the capital of Tamil Nadu, while the other statements are false. Understanding the geography and history of Tamil Nadu is crucial for answering such questions accurately.