Purohit was among five governors appointed by President Ram Nath Kovind today, according to a Rashtrapati Bhavan statement.
While Purohit was moved to Tamil Nadu, Lt Governor of Andaman and Nicobar Islands Jagdish Mukhi was appointed in his place in Assam.
Senior BJP leader and former Union minister Satyapal Malik was made the new governor of Bihar.
Former member of Bihar Legislative Council Ganga Prasad was appointed as the Governor of Meghalaya.
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Former Chief of Navy Staff Admiral (retd) Devendra Kumar Joshi was appointed as the new Lt Governor of Union Territory Andaman and Nicobar Islands, succeeding Mukhi.
Tamil Nadu was so far without a full-time governor for over a year. Maharashtra Governor Vidya Sagar Rao had the additional charge of Tamil Nadu since September last year.
The appointment comes at a time when Tamil Nadu has been going through a political crisis.
He plunged into active politics in 1977 and was elected to the Maharashtra Assembly in 1978 from Nagpur (East). A former MP, Purohit is credited with the revival of 'The Hitavada', an English daily founded by Gopal Krishna Gokhale, the mentor of Mahatma Gandhi.
Another key appointment made today is that of Malik, a former Union minister and BJP's national vice president, as the Governor of Bihar. The post had fallen vacant after Kovind resigned after being nominated as the BJP's presidential candidate.
Prasad, the new governor of Meghalaya, was elected for the first time as a member of Legislative Council in Bihar in 1994. He has been an MLC for 18 years. He has served in various capacities such as the leader of the BJP in the Legislative Council.
A special invitee to BJP's national executive, Prasad has also been the leader of the opposition for five years in the Legislative Council.
Mukhi, the new governor of Assam, took to active politics after the Emergency was clamped. He has won seven times from Janak Puri Assembly constituency in Delhi.
Joshi, the new lieutenant governor of Andaman and Nicobar Islands, was the chief of Naval Staff from August 2012 to February 26, 2014. He had resigned after taking moral responsibility of fire in INS Sindhuratna, a submarine, according to official records.
Joshi is an alumnus of the National Defence Academy and was commissioned on April 1, 1974 in the Executive Branch of the Indian Navy, they say.
He has been awarded the Param Vishist Seva Medal, the Ati Vishist Seva medal, Yudh Seva Medal, Nau Sena Medal and the Vishist Seva Medal.
He has served in various wars and operational roles for the nation. He also volunteered for Kargil War after retirement and has received commendation for gallant role in counter terrorist operations.