SB 5.4.9

yeṣāṁ khalu mahā-yogī bharato jyeṣṭhaḥ śreṣṭha-guṇa āsīd yenedaṁ varṣaṁ bhāratam iti vyapadiśanti.
Synonyms: 
yeṣām — of whom; khalu — indeed; mahā-yogī — a very highly exalted devotee of the Lord; bharataḥ — Bharata; jyeṣṭhaḥ — the eldest; śreṣṭha-guṇaḥ — qualified with the best attributes; āsīt — was; yena — by whom; idam — this; varṣam — planet; bhāratam — Bhārata; iti — thus; vyapadiśanti — people call.
Translation: 
Of Ṛṣabhadeva’s one hundred sons, the eldest, named Bharata, was a great, exalted devotee qualified with the best attributes. In his honor, this planet has become known as Bhārata-varṣa.
Purport: 

This planet known as Bhārata-varṣa is also called puṇya-bhūmi, the pious land. At the present moment Bhārata-bhūmi, or Bhārata-varṣa, is a small piece of land extending from the Himālaya Mountains to Cape Comorin. Sometimes this peninsula is called puṇya-bhūmi. Śrī Caitanya Mahāprabhu has given special importance to the people of this land.

bhārata-bhūmite haila manuṣya-janma yāra
 janma sārthaka kari’ kara para-upakāra

“One who has taken his birth as a human being in the land of India (Bhārata-varṣa) should make his life successful and work for the benefit of all other people.” (Cc. Ādi 9.41) The inhabitants of this piece of land are very fortunate. They can purify their existence by accepting this Kṛṣṇa consciousness movement and go outside Bhārata-bhūmi (India) and preach this cult to benefit the whole world.