Extremely cautious comments from the Reserve Bank Governor Raghuram Rajan over the economic recovery and follow-up rate cuts alongside capital outflows by foreign funds too weighed on sentiments, forex dealers said.
The RBI had yesterday cut interest rates by 0.25 basis points for the third time this year.
The local currency even breached the psychological 64-mark briefly during intra-day trade before witnessing some recovery.
The rupee opened modestly higher at 63.77 per dollar at the Interbank Foreign Exchange as compared to overnight closing level of 63.82 and strengthened further to top a high of 63.75.
Meanwhile, the benchmark BSE Sensex plummeted further by a hefty 351.18 points to 26,837.20 as intense selling remained unabated after the RBI took a cautious stance on the economic recovery.
Globally, the dollar remained broadly higher against other major currencies with the US dollar index trading up by 0.25 per cent at 96.24.