Question

$A$ : Higher is the accuracy of measurement, if the instrument have smaller least count.
$R$ : Smaller the percentage error, higher is the accuracy of measurement.
For the above assertion and reason, select the correct option:

• A. $A$ is false but $R$ is true.
• B. $A$ is true but $R$ is false.
• C. Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
• D. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Answer 1

The correct option is D Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Higher accuracy indicates high degree of precision in measurement. Hence, error will be smaller.
However, a lower least count means lower error
$\therefore$ (accuracy)$\uparrow$ when (least count)$\downarrow$
Hence, option $\left(a\right)$ is the correct answer.