Q$1$:

A strain gauge is mounted on a steel cantilever beam of rectangular cross section. The gauge is connected in a Wheatstone bridge; initially $R_{\text{g}\text{a}\text{u}\text{g}\text{e}}=R2=R3=R4=120$ A gauge resistance change of $0\mathrm{.}1$ is measured for the loading condition and gauge orientation shown in Figure. If the gauge factor is $2\mathrm{.}05+-1\%(95\%)$ estimate the strain. Suppose the uncertainty in each resistor value is $1\%(95\%).$ Estimate an uncertainty in the measured strain due to the uncertainties in the bridge resistances and gauge factor. Assume that the bridge operates in a null mode, which is detected by a galvanometer. Also assume reasonable values for other necessary uncertainties and parameters, such as input voltage or galvanometer sensitivity$.$ Ignore Poison Ratio is your calculation.