汉 is pronounced Hάn in the fourth tone. 汉 means Chinese nationality, Chinese language, man or hero.
朝 is pronounced chάo in the second tone. 朝 means dynasty or court.
The two words汉 朝 mean Han Dynasty which lasted for 426 years from 206 BC to 220 AD. From then on, the word 汉 became synonymous with anything to do with China.