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A potentiometer wire has length $10\, m$ and resistance $20\,\Omega $. A $2. 5\, V$ battery of negligible internal resistance is connected across the wire with an $80\,\Omega $ series resistance. The potential gradient on the wire will be
  • A$5 \times {10^{ - 5}}\,V/mm$
  • B$2.5 \times {10^{ - 4}}\,V/cm$
  • C$0.62 \times {10^{ - 4}}\,V/mm$
  • D$1 \times {10^{ - 5}}\,V/mm$
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