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(B) The sensitivity of a potentiometer is defined as the smallest potential difference that can be measured by it.The potential gradient $(k)$ is defi

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$A$ and $C$ only

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(B) The sensitivity of a potentiometer is defined as the smallest potential difference that can be measured by it.The potential gradient $(k)$ is defined as the potential drop per unit length of the wire,given by $k = V/L$.Sensitivity is inversely proportional to the potential gradient $(k)$. Therefore,as $k$ decreases,the sensitivity increases.Since $k = V/L$,decreasing $k$ is equivalent to increasing the length $(L)$ of the potentiometer wire for a fixed potential difference $(V)$.Thus,sensitivity is directly proportional to the length $(L)$ of the wire and inversely proportional to the potential gradient $(k)$.Statements $(A)$ and $(C)$ are correct.

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