To show the effect of manometer dimensions, consider Fig. P2.34. The containers (a) and (b) are cylindrical

Question:

To show the effect of manometer dimensions, consider Fig. P2.34. The containers (a) and (b) are cylindrical and are such that pa = pb as shown. Suppose the oil-water interface on the right moves up a distance Δh < h. Derive a formula for the difference pa − pb when (a) d << D; and (b) d = 0.15D. What is the % difference?