The given diagram shows two different scales on a Vernier callipers. The reading on the Vernier scale is
Correct answer: C. 6.5
- A. 0.5
- B. 5
- C. 6.5
- D. 7
Explanation
Read the main scale reading (MSR):Observe the mark on the main scale that is just before the zero mark of the Vernier scale. In the given diagram, the zero mark of the Vernier scale is past the 6.5 cm mark on the main scale but before the 6.6 cm mark. Therefore, the MSR is 6.5 cm.2. Read the Vernier scale coincidence (VSC):Find the mark on the Vernier scale that perfectly aligns with any mark on the main scale. In the diagram, the 5th division of the Vernier scale aligns with a mark on the main scale. So, the VSC is 5.3. Calculate the least count (LC):The least count of a Vernier caliper is typically 0.01 cm (assuming 10 divisions on the Vernier scale match 9 divisions on the main scale, and the smallest division on the main scale is 0.1 cm).4. Calculate the total reading:The total reading is given by the formula: Total Reading = MSR + (VSC × LC).Total Reading = 6.5 cm + (5 × 0.01 cm) = 6.5 cm + 0.05 cm = 6.55 cm.
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About Errors and Significant Figures
Measurement errors include random and systematic effects, absolute, fractional and percentage uncertainty, and the precision shown by significant figures. Questions apply rounding rules and uncertainty propagation in addition, subtraction, multiplication and division, while distinguishing accuracy from precision and uncertainty from an actual mistake.
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