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(A) In a Wheatstone bridge,the condition for balance is given by $\frac{P}{Q} = \frac{X}{Y}$.To achieve the most precise measurement of the unknown re

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should be approximately equal and are small

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(A) In a Wheatstone bridge,the condition for balance is given by $\frac{P}{Q} = \frac{X}{Y}$.To achieve the most precise measurement of the unknown resistance $X$,the sensitivity of the bridge must be maximized.The sensitivity of a Wheatstone bridge is maximum when all four resistances are of the same order of magnitude.Specifically,if $P$ and $Q$ are approximately equal and small,the relative error in the measurement of $X$ is minimized,leading to the most precise result.

$A$ Wheatstone bridge is used to determine the value of an unknown resistance $X$ by adjusting the variable resistance $Y$ as shown in the figure. For the most precise measurement of $X$,the resistances $P$ and $Q$:

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