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Assertion: a dummy gauge is placed in the arm adjacent to the active gauge in a bridge. Reason: a resistance change common to two adjacent arms cancels in the output.

  • A.both the assertion and the reason are true but the reason does not explain the assertion
  • B.the assertion is true but the reason given for it is false
  • C.the assertion is false although the reason offered is a true statement in itself
  • D.both the assertion and the reason are true and the reason explains the assertion

Answer: D

Adjacent arms form one side of the potential divider, so equal fractional changes in both leave the ratio unaltered. Putting the dummy there makes temperature a common change and the strain of the active gauge the only difference the bridge sees.

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