Question

9. 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

55.628

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Answer 2

Concept Introduction:-

Generally speaking, resolution is the ability to detect the difference among $2$ signals.

Given Information:-

We have been given that 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.

To Find:-

We have to find that which is more accurate and which is more precise.

Explanation:-

According to the problem

The true value of a certain length is near $5.678$ cm. In one experiment, using a measuring instrument of resolution $0.1$ cm, the measured value is found to be $5.5$ cm. In another experiment using a measuring instrument of greater resolution, say $0.01$ cm, the length is found to be $5.38$ cm. We find that the first measurement is more accurate as it is closer to the true value, but it has lesser precision. On the contrary, the second measurement is less accurate, but it is more precise.

Final Answer:-

The first measurement is more accurate and the second measurement is more precise.