**Explanation:**

Raja Rammohan Roy, a prominent social reformer and intellectual of the 19th century in India, was indeed given the title of Raja by the Mughal emperor Akbar II.

- **Rammohan Roy**: Raja Rammohan Roy was born on May 22, 1772, in Radhanagar, Bengal Presidency, British India. He is often referred to as the "Father of the Indian Renaissance" and is known for his efforts towards social and religious reform in India during the colonial period. Rammohan Roy was a staunch advocate for the rights of women, the abolition of sati (the practice of widow burning), and the promotion of education and rational thinking.

- **Mughal Emperor Akbar II**: Akbar II was the penultimate Mughal emperor who reigned from 1806 to 1837. He was the son of Shah Alam II and the grandson of the famous Mughal emperor Alamgir II. Akbar II's reign coincided with the British East India Company's growing influence in India, and he faced numerous challenges during his rule.

- **Title of Raja**: Rammohan Roy was highly respected by the Mughal emperor Akbar II for his intellect, social reform efforts, and contributions to Indian society. As a mark of recognition, Akbar II bestowed upon Rammohan Roy the title of "Raja", which means "king" or "monarch" in Hindi. This title was an honor and a recognition of his accomplishments and influence.

Therefore, the correct answer is option **A) Akbar II**, as it was he who gave Raja Rammohan Roy the title of Raja.