Problem 5 (20 points)
The U-tube shown in the figure has unequal diameters of D₁ and D2 and are open to the atmosphere
at the top. If an additional volume V2 of the fluid II is added to the right-hand tube, what is the amount
of the level at B will fall? Please express your answer in terms of p1, p2, V2, D1 and D₂.
Di
hA
C
fluid II
fluid I B
A
D2
hc
4hB
Figure 2 The U-tube manometer.