Two resistors of 2kΩ and 3kΩ are connected in series to a 10V battery. The potential difference across the 3kΩ resistor is 6V. If both resistors are replaced by ones having exactly double their original resistances and the same battery is used, the new potential difference across the 3kΩ resistor (now 6kΩ) will be
(a) 12V
(b) 3V
(c) 6V
(d) 4V