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Three students measured length of a needle with meter rod and recorded as :
(i) 0.2145m
(ii) 0.21m
(iii) 0.214m
Which one is correct record?
  • a)
    Both (i) and (ii)
  • b)
    Only (iii)
  • c)
    Only (ii) 
  • d)
    Only (i)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Three students measured length of a needle with meter rod and recorded...
The correct answer is C.
Only the measurement (ii) is accurate because:
  • A meter rod typically measures up to two decimal points.
  • Measurements (i) and (iii) exceed this precision.
Thus, the only valid record is 0.21m.
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Community Answer
Three students measured length of a needle with meter rod and recorded...
Understanding Significant Figures
When measuring, it's crucial to understand significant figures to determine how precise a measurement is. Each measurement should reflect the accuracy of the instrument used.
Analysis of Each Measurement
- (i) 0.2145 m
- This measurement has four significant figures. It suggests a high precision, implying the instrument can measure to the nearest 0.0001 m.
- (ii) 0.21 m
- This measurement has only three significant figures. However, it suggests a lower precision, indicating that the measurement is rounded and does not reflect finer detail.
- (iii) 0.214 m
- This measurement has three significant figures, which indicates a reasonable level of precision, but it is not as precise as (i).
Correctness of Records
- The accuracy of the measurements depends on how the meter rod was used.
- The significant figures indicate that (i) is the most precise, while (ii) is the least precise but still valid.
- However, for practical purposes in contexts like scientific examinations, the precision of the measurement is paramount.
Conclusion
Given the rules of significant figures, the correct record among the options provided is:
- Only (ii) 0.21 m, as it reflects a valid measurement with appropriate rounding for the context.
Thus, the correct answer is option 'C': Only (ii).
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