Fluid Mechanics Viscosity Question 141

Question: A sealed tank containing $ a $ liquid of density p moves with horizontal acceleration a as shown in the figure. The difference in pressurbetween two points $ A $ and $ B $ will be

Options:

A) $ h\rho g $

B) $ l\rho g $

C) $ h\rho g-l\rho a $

D) $ h\rho g+l\rho a $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The points A and C are in same horizontal level Hence $ P_{C}-P_{A}=\rho al $ (Refer to figure in question to identify A,B,C) Now, $ P_{B}-P_{C}=\rho gh $ $ \Rightarrow P_{B}=(P_{1}+\rho al)=\rho gh\Rightarrow P_{B}-P_{A}=h\rho g+l\rho a $