Final answer:
The change in resistance of a strain gauge with a gauge factor of 2.1 and an initial resistance of 50Ω when subjected to a strain of 0.001 is 0.105Ω.
Step-by-step explanation:
The change in resistance of an electrical resistance strain gauge can be calculated using the formula ΔR = GF × ε × R, where ΔR is the change in resistance, GF is the gauge factor of the strain gauge, ε is the strain, and R is the initial resistance of the gauge. In this case, we have a gauge factor (GF) of 2.1, a strain (ε) of 0.001, and an initial resistance (R) of 50Ω. ΔR = 2.1 × 0.001 × 50Ω = 0.105Ω Therefore, the change in resistance of the strain gauge subjected to a strain of 0.001 is 0.105Ω, which corresponds to option (a).