"There being two counter versions of the incident and there being no clear demand of bribe. I am of the opinion that the accused is entitled to bail. Hence, the bail is granted," Special Judge Narottam Kaushal said.
Earlier, on May 12, the court had remanded sacked head constable Satish Chand to 14 days in judicial custody.
Chand was arrested after a criminal case was filed against him when a video clip of his allegedly attacking a young woman with two children at Golf Links in Central Delhi area went viral.
The victim, who was riding a two-wheeler, had alleged that Chand demanded a bribe of Rs 200 accusing her of violating traffic rules and when she refused, he abused her and then hit her with a brick in front of her two minor children.
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The woman had said she suffered fracture in her left hand in the attack while she was coming from a parent-teacher meeting in her daughter's school. At the time of the incident, the woman's three daughters, including her four-month infant, were with her.
"The policeman asked me for my registration papers and licence and demanded Rs 200 for jumping the red light. I insisted that a receipt be issued to me but the cop refused. When I protested he attacked me with a brick," she had claimed.