The protests were among many anti-rape demonstrations staged across the country over the past week.
A video journalist was killed by police gunfire Sunday during a violent protest in India's remote northeastern state of Manipur, authorities said.
The journalist, identified by the information and broadcasting ministry as Dhij Mani, was covering a protest against a separate molestation case in the provincial capital of Imphal.
Protests have rocked Manipur over the alleged molestation of a local actress by a suspected militant on December 18, during a public performance, authorities say.
Protesters torched a vehicle, forcing police to open fire, officer Manik Longjam said Sunday.
The journalist died in the gunfire, Longjam said.
Police say the molester is still at large.
Reported rape cases have increased more than tenfold over the past 40 years -- from 2,487 in 1971 to 24,206 in 2011, according to official figures.
New Delhi alone reported 572 rapes last year and more than 600 in 2012.
As fury about the assault gathered pace, some Indian lawmakers called for treating rape as a capital crime.
"We'll work collectively to see we make a law which is deterrent and preventive," said New Delhi's chief minister, Sheila Dikshit.
India's home minister Sushilkumar Shinde told reporters Saturday that the government would work toward increasing punishment in "rarest of the rare" rape cases.
But pressed on whether the administration would agree to demands for death by hanging in such instances, he said: "We'll have to see in what way it (the rape sentencing) can be enhanced."
Shinde said the government was pushing for a speedy trial for the attack.
Authorities are also taking a number of steps to improve security for women in New Delhi, particularly on public transport, he said.
"(The) government shares the widespread concern and support that has been expressed throughout society for the girl who has so suffered. Government also respects the right of legitimate protest," Shinde said.
"At the same time, there is need to exercise calm at this juncture and for everyone to work together to improve the safety and security environment."