Question

A cubical sealed vessel with edge L is placed on a cart, which is moving horizontally with an acceleration ‘a’ as shown in figure. The cube is filled with an ideal fluid having density d. The gauge pressure at the centre of the cubical vessel is –

• A. $\frac{Ldg}{2}$
• B. $\frac{Ld}{2}$ (g + a)
• C. $\frac{Lda}{2}$
• D. $\frac{Ld}{2}$ (g – a)

Answer 1

Answer: (B)

$\frac{Ld}{2}$ (g + a)

Answer 2

P₁ = P_atm

P₂ = P_atm + $\frac{Ldg}{2}$

P₃ = P₂ + $\frac{Lda}{2}$

\ P₃ – P_atm = $\frac{Ld}{2}$ (g + a)