The incident took place this afternoon when the girl was alone in her home and neighbour, Kantu, not only raped her but also set her on fire in Khemunagla village, police said.
She was rushed to a nearby hospital and her condition is critical.
Superintendent of Police (rural), Brijesh Srivastava, said that an FIR has been registered in the matter and the accused is being searched by the police.