A monometer has mercuty and water filled in it as shown in the figure A scale is marked on the right tube which has a cross sectional area of `A_(2)`. The other tube has a cross sectional area of `A_(1)`. When pressures `P_(1)` and `P_(2)` at both ends of the manometer is same, the level of water in the right side is at the zero of the scale. When the applied pressure `P_(1)` is changed by `DeltaP_(0)`, the level of water surface changes by `Deltah`. the quantity `(Deltah)/(DeltaP_(0))` can be defined as pressure sensitivity(s) of the manometer. Calculate the pressure sensitivity of the given manometer. Density of water and mercury is `rho_(omega)` and `rho_(Hg)` respectively.

Answer

`s=(1)/((1+(A_(2))/(A_(1)))rho_(Hg)g)`