KCET · Physics · Mathematics in Physics
The true length of a wire is \(3.678 \mathrm{~cm}\). When the length of this wire is measured using instrument \(A\), the length of the wire is \(3.5 \mathrm{~cm}\). When the length of the wire is measured using instrument \(B\), it is found to have length \(3.38 \mathrm{~cm}\). Then, the
- A measurement with \(A\) is more accurate and precise.
- B measurement with \(A\) is more accurate while measurement with \(B\) is more precise.
- C measurement with \(B\) is more accurate and precise.
- D measurement with \(A\) is more precise while measurement with \(B\) is more constant.
Answer & Solution
Correct Answer
(B) measurement with \(A\) is more accurate while measurement with \(B\) is more precise.
Step-by-step Solution
Detailed explanation
Given, actual length of wire \(\left(l_0\right)=3.678 \mathrm{~cm}\)
Measurement with instrument, \(A=3.5 \mathrm{~cm}\)
Measurement with instrument, \(B=3.38 \mathrm{~cm}\)
Measurement of \(A\) is close to \(I_0\) so it is more accurate but measurement of \(B\) is more precise as it can count upto two decimal places.
Measurement with instrument, \(A=3.5 \mathrm{~cm}\)
Measurement with instrument, \(B=3.38 \mathrm{~cm}\)
Measurement of \(A\) is close to \(I_0\) so it is more accurate but measurement of \(B\) is more precise as it can count upto two decimal places.
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