Explanation:

- Option 1: AR Rahman

- Correct Answer: AR Rahman, an acclaimed Indian composer, won two Grammy Awards in 2010 for his work on the soundtrack of the film "Slumdog Millionaire," directed by Danny Boyle. The awards were for Best Compilation Soundtrack Album and Best Song Written for Visual Media for "Jai Ho."

- Option 2: Vishal Bhardwaj

- Vishal Bhardwaj is a renowned Indian music composer and film director, but he did not win the Grammy for "Slumdog Millionaire."

- Option 3: Bappi Lahiri

- Bappi Lahiri was a popular Indian musician known for his work in Bollywood, particularly in the disco era, but he was not associated with "Slumdog Millionaire."

- Option 4: Pritam Chakraborty

- Pritam is a prominent Indian music director and composer in Bollywood, but he did not win a Grammy for "Slumdog Millionaire."

AR Rahman is the correct answer.