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An instrument with four and a half digits is switched to the two volt range. The smallest step it can distinguish there is

  • A.0.1 mV
  • B.1 mV
  • C.0.01 mV
  • D.0.2 mV

Answer: A

Correct answer: 0.1 mV

Four and a half digits give 19999 counts, so on the 2 V range each count is \[ \frac{2\ \mathrm{V}}{20{,}000} = 0.1\ \mathrm{mV}. \] Comparing with the 20 V range shows the general rule: dropping a decade of range gains a decade of resolution, which is exactly why the lowest usable range is chosen.

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