The correct answer is Pandit Jawaharlal Nehru.

Jawaharlal Nehru was a prominent leader of the Indian National Congress and a key figure in the Indian independence movement. He was also a strong advocate for social and economic justice, and he drafted the resolution on fundamental rights for the Karachi Session of Congress in 1931.

The resolution was a landmark document that laid out the basic rights and freedoms that all Indians should enjoy. It included guarantees of freedom of speech, freedom of assembly, freedom of religion, and equality before the law. The resolution also called for the establishment of a welfare state in India, with a focus on social justice and economic equality.

The resolution was adopted by the Karachi Session of Congress in 1931, and it played an important role in the subsequent drafting of the Indian Constitution. The fundamental rights enshrined in the Constitution are based on the principles laid out in the Karachi resolution.

The other options are incorrect. Dr. B. R. Ambedkar was a leading figure in the Dalit movement, and he was not involved in the drafting of the Karachi resolution. Dr. Rajendra Prasad was the president of the Indian National Congress at the time, but he did not draft the resolution. Sardar Vallabhbhai Patel was a prominent leader of the Indian National Congress, but he was not involved in the drafting of the Karachi resolution.