Determine the Main Scale Reading (MSR).

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Here are the readings for the instruments:

Q1a: Vernier Caliper Reading

  1. Determine the Main Scale Reading (MSR).

    The zero mark of the Vernier scale is past 8.6 cm8.6\,\text{cm} on the main scale.

    MSR=8.6 cm\text{MSR} = 8.6\,\text{cm}
  2. Determine the Vernier Scale Coincidence (VSC).

    The 7th7^{\text{th}} mark on the Vernier scale aligns perfectly with a mark on the main scale.

    VSC=7\text{VSC} = 7
  3. Calculate the total reading.

    The least count (LC) of a standard Vernier caliper is 0.01 cm0.01\,\text{cm}.

    Total Reading=MSR+(VSC×LC)\text{Total Reading} = \text{MSR} + (\text{VSC} \times \text{LC}) Total Reading=8.6 cm+(7×0.01 cm)\text{Total Reading} = 8.6\,\text{cm} + (7 \times 0.01\,\text{cm}) Total Reading=8.6 cm+0.07 cm\text{Total Reading} = 8.6\,\text{cm} + 0.07\,\text{cm} Total Reading=8.67 cm\text{Total Reading} = \boxed{\text{8.67}\,\text{cm}}

    Q1b: Vernier Caliper Reading

  4. Determine the Main Scale Reading (MSR).

    The zero mark of the Vernier scale is past 60.4 cm60.4\,\text{cm} on the main scale.

    MSR=60.4 cm\text{MSR} = 60.4\,\text{cm}
  5. Determine the Vernier Scale Coincidence (VSC).

    The 2nd2^{\text{nd}} mark on the Vernier scale aligns perfectly with a mark on the main scale.

    VSC=2\text{VSC} = 2
  6. Calculate the total reading.

    The least count (LC) of a standard Vernier caliper is 0.01 cm0.01\,\text{cm}.

    Total Reading=MSR+(VSC×LC)\text{Total Reading} = \text{MSR} + (\text{VSC} \times \text{LC}) Total Reading=60.4 cm+(2×0.01 cm)\text{Total Reading} = 60.4\,\text{cm} + (2 \times 0.01\,\text{cm}) Total Reading=60.4 cm+0.02 cm\text{Total Reading} = 60.4\,\text{cm} + 0.02\,\text{cm} Total Reading=60.42 cm\text{Total Reading} = \boxed{\text{60.42}\,\text{cm}}

    Micrometer Screw Gauge Reading

  7. Determine the Main Scale Reading (MSR) / Sleeve Reading.

    The edge of the thimble is past the 5.5 mm5.5\,\text{mm} mark on the main scale (the 5 mm5\,\text{mm} mark and the 0.5 mm0.5\,\text{mm} mark after it are visible).

    MSR=5.5 mm\text{MSR} = 5.5\,\text{mm}
  8. Determine the Thimble Scale Coincidence (TSC).

    The 12th12^{\text{th}} mark on the thimble scale aligns with the datum line.

    TSC=12\text{TSC} = 12
  9. Calculate the total reading.

    The least count (LC) of a standard micrometer screw gauge is 0.01 mm0.01\,\text{mm}.

    Total Reading=MSR+(TSC×LC)\text{Total Reading} = \text{MSR} + (\text{TSC} \times \text{LC}) Total Reading=5.5 mm+(12×0.01 mm)\text{Total Reading} = 5.5\,\text{mm} + (12 \times 0.01\,\text{mm}) Total Reading=5.5 mm+0.12 mm\text{Total Reading} = 5.5\,\text{mm} + 0.12\,\text{mm} Total Reading=5.62 mm\text{Total Reading} = \boxed{\text{5.62}\,\text{mm}}
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