Question

Difficulty: MediumMeasurement of Length and Measuring Instruments

Match each length measuring instrument listed on the left with its standard precision and appropriate physical measurement application on the right.

  • Metre rulePrecision of 0.1 cm0.1\text{ cm} (1 mm1\text{ mm}); used for measuring object lengths such as a pendulum rod.
  • Vernier caliperPrecision of 0.01 cm0.01\text{ cm} (0.1 mm0.1\text{ mm}); used for measuring internal and external diameters of test tubes.
  • Micrometer screw gaugePrecision of 0.01 mm0.01\text{ mm} (0.001 cm0.001\text{ cm}); used for measuring extremely small lengths such as wire diameter.
  • Flexible measuring tapePrecision of 0.1 cm0.1\text{ cm} (1 mm1\text{ mm}); used for measuring larger flexible distances such as waist circumference or room dimensions.

Answer

Metre rule matches precision 0.1 cm0.1\text{ cm} for pendulum rod; Vernier caliper matches precision 0.01 cm0.01\text{ cm} for tube diameters; Micrometer screw gauge matches precision 0.01 mm0.01\text{ mm} for wire diameter; Flexible measuring tape matches precision 0.1 cm0.1\text{ cm} for flexible/large distances.
Each instrument is matched according to its fundamental physical least count and specialized geometry: Metre rule measures rigid lengths to 0.1 cm0.1\text{ cm}, Vernier caliper measures internal/external diameters to 0.01 cm0.01\text{ cm}, Micrometer screw gauge measures fine dimensions to 0.01 mm0.01\text{ mm}, and flexible measuring tape measures long or curved distances to 0.1 cm0.1\text{ cm}.

Step-by-Step Solution

1
Identify the least count (precision) of each measuring instrument.
Metre rule: 0.1 cm0.1\text{ cm}, Vernier caliper: 0.01 cm0.01\text{ cm}, Micrometer screw gauge: 0.01 mm0.01\text{ mm}, Measuring tape: 0.1 cm0.1\text{ cm}.
Least count defines the minimum measurable dimension and precision limit for each tool.
2
Match each instrument to its specific physical design feature and suitable application.
Metre rule \rightarrow rigid straight measurements (pendulum rod); Vernier caliper \rightarrow internal/external diameters (jaws); Micrometer screw gauge \rightarrow very thin objects (wire diameter); Tape measure \rightarrow curved/large dimensions.
The mechanical structure of the instrument dictates its intended physical measurement domain.

Key Concept

Instrument least count and application domain in length measurement
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