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11 August, 06:07

6 A single sheet of aluminium foil is folded twice to produce a stack of four sheets. The total

thickness of the stack of sheets is measured to be (0.80 ± 0.02) mm. This measurement is made

using a digital caliper with a zero error of (-0.20 ± 0.02) mm.

What is the percentage uncertainty in the calculated thickness of a single sheet?

A 1.0% B 2.0% C 4.0% D 6.7%

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Answers (1)
  1. 11 August, 06:37
    0
    The correct answer is option C. i. e. 4%

    The total thickness of the stack of sheets is measured to be (0.80 ± 0.02) mm.

    The maximum true thickness will be (0.80 + 0.02) mm. = 1.00 mm

    Ans, the maximum uncertainity will be (0.20 + 0.02) mm = + / - 0.04 mm

    Thus, the four sheets true thickness will be 1.00 mm + / - 0.04 mm

    Thus, single sheet thickness will be 0.250 mm + / - 0.01 mm

    Thus, percentage error = (0.01/0.25) * 100 = 4%
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