The correct option is A Unit change in R per unit change in 'l'
Sensitivity is basically a dimensionless quantity & implies the change in resistance due to change in length of wire at a unity level. Generally, there are mainly two types of strain gauges like wired strain gauge & semiconductor strain gauge.
Semiconductor strain gauges are sensitive to maximum extent as compared to that of wire type & hence they yield more accuracy and resolution. Intuitively, sensitivity measures the degree of accuracy & resolution. More the level of sensitivity, high will be the rate of accuracy & resolution.