Question

The true value of a certain length is nearly 5.678 cm. In one experiment, using a measuring instrument A of resolution 0.1 cm, the measured value is found to be 5.5 cm. In another experiment using a measuring instrument B of greater resolution, say 0.01 cm, the length is found to be 5.38 cm. out of two instruments A and B which is more accurate and which is more precise ?​

Answer 1

Explanation:

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Answer 2

Given:

true value$=5.678$

Measuring instrument A

Resolution$=0.1\ cm$

measured value$=5.5\ cm$

Measuring instrument B

Resolution$=0.01\ cm$

length$=5.38\ cm$

To Find:

The instrument that is more accurate and which is more precise

Solution:

• Accuracy of the measurement is defined as how close a measurement value is to the correct value for that measurement.
• Clearly the instrument A reading is closer to the true value by the given values
• Therefore  Instrument A is more Accurate.
• Precision of the instrument is the measured values shows to how close the agreement is between repeated measurements.  
• The precision of a measuring instrument is related to the size of its measurement variations of the value.  
• The smaller the measurement variations of the value, the more precise the instrument.
• As the instrument B has a 0.01 cm resolution and instrument A has 0.1 cm Resolution
• So the Instrument B is more Precise.