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The true value of a particular length is...

The true value of a particular length is 4.283 cm. The three instuments A,B and C , used to measure this length give the readings 4.1 cm, 4.24 cm and 4.093cm. Arrange these readings in the increasing order of accuracy and precision. Which instrument is most reliable for measuring this length ?

Text Solution

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True value = 4.283 cm
Closer the measured value to its true value, more accurate is the reading.
Hence, the three readings can be arranged in increasing order of accuracy as
`4.093cmlt4.1cmlt4.24cm`.
The reading of the instrument B is most accurate.
In the increasing order of precision, the readings are `4.1cmlt4.24cmlt4.093cm`
The instrument C provides the reading upto greatest precision. But since its accuracy is least, it cannot be considered reliable. In terms of accuracy and precision both, instrument B is best suited to take the measurements.
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