Question

An ideal liquid of density $\rho$ is pushed with velocity v through the central limb of the tube shown in fig. What force does the liquid exert on the tube? The cross sectional areas of the three limbs are equal to A each. Assume stream-line flow.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Velocity of liquid through inclined limbs = $\frac{v}{2}$

Rate of change of momentum of the liquid is = $\rho A{v}^2+2[\rho A{⟮\frac{v}{2}⟯}^{2}cos{60}^{\circ }]=\frac{5}{4}\rho A{v}^2$