Physics Units, Dimensions and Measurement Karnataka - CET Previous Year Question MCQ (Single Correct)

The true length of a wire is . When the length of this wire is measured using instrument , the length of the wire is . When the length of the wire is measured using instrument , it is found to have length . Then the

A
measurement with is more accurate and precise.
B
measurement with is more accurate while measurement with is more precise.
C
measurement with is more accurate and precise.
D
measurement with is more precise while measurement with is more accurate.

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The correct answer is:
B

: True value

Accuracy of a measurement is a measure of how close the measured value is to the true value of the length. Here, measured value i.e., is more closer to true value as compared to . Hence measured by instrument is more accurate. Now, precision tells us to what resolution the value is calculated. The more number of digits after decimal, the more is the precision of the measurements. Here, has 2 digits after the decimal as compared to which has only 1 digit after the decimal. Hence, the measured by the instrument is more precise measurement.

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