Mukesh Ambani-led Reliance Industries (RIL) has appointed former Chairperson of State Bank of India, Arundhati Bhattacharya, as an independent director for a period of five years. Last week, homegrown private equity firm ChrysCapital named her as an advisor. Bhattacharya, the first woman chief of SBI, retired from the state-owned lender in October last year.