Persian Influence:

• During the medieval period, Persian was the language of administration and culture in the Indian subcontinent, especially under the Mughal rulers.

Interaction with Hindavi:

• Hindavi, a language that evolved from the local Prakrits and Apabhramsha, was spoken by the local population.

Cultural Synthesis:

• Over time, as Persian-speaking rulers and administrators interacted with the local population, a cultural and linguistic synthesis occurred.

Emergence of Urdu:

• This interaction resulted in the emergence of a new language, known as Urdu, which incorporated elements from both Persian and Hindavi.

Script:

• Urdu adopted the Persian script, known as Nastaliq, for writing, further emphasizing its connection with Persian.

So, the correct option is [4].