An experiment is being used to find atmospheric pressure $P$ by applying the relation $P=\rho gh$, where $\rho=(13600\pm100)\,\text{kg m}^{-3}$, $g=(9.81\pm0.02)\,\text{m s}^{-2}$ and $h=(0.762\pm0.005)\,\text{m}$. What is the value of $P$, together with its uncertainty, expressed to an appropriate number of significant figures?
- A$(1.0166 \pm 0.0162)\times10^{5}\,\text{Pa}$
- B$(1.017 \pm 0.016)\times10^{5}\,\text{Pa}$
- C$(1.017 \pm 1.6\%)\times10^{5}\,\text{Pa}$
- D$(1.02 \pm 0.02)\times10^{5}\,\text{Pa}$