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What is the reading shown on the scale of the vernier calipers, given the main scale reads 3.0 cm and the vernier scale's 8th division aligns with a main scale division?

Physics

ScanSolve AI Answer

Answer

3.08 cm\text{3.08 cm}

Step-by-step solution

3 steps
  1. Read the main scale.

    The zero mark on the vernier scale is past the 3.0 cm3.0 \text{ cm} mark on the main scale but has not reached the 3.1 cm3.1 \text{ cm} mark.
    The main scale reading is 3.0 cm3.0 \text{ cm}.

  2. Read the vernier scale.

    Identify the mark on the vernier scale that aligns perfectly with any mark on the main scale.
    The 8th mark on the vernier scale aligns with a mark on the main scale.
    Each division on the vernier scale represents 0.01 cm0.01 \text{ cm}.
    The vernier scale reading is 8×0.01 cm=0.08 cm8 \times 0.01 \text{ cm} = 0.08 \text{ cm}.

  3. Calculate the total reading.

    Total reading = Main scale reading + Vernier scale reading

    Total reading=3.0 cm+0.08 cm=3.08 cm\text{Total reading} = 3.0 \text{ cm} + 0.08 \text{ cm} = 3.08 \text{ cm}

    The reading shown on the scale of the vernier calipers is 3.08 cm\text{3.08 cm}.

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