Q146 / 180 · KCET 2023 · 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.
  • Correct answer
    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.

Solution

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.

Hence, the correct answer is option: 'B'.

More Mathematics in Physics Questions