A container filled with liquid is placed on a smooth surface. Two points A and B are in same level as shown, state about pressures at these points for following cases, in which container accelerates along given direction ( array |c|l|c|l| & Column-A & & Column-B (i) & a_x = 0, ; a_y 0 & (A) & P_A = P_B (ii) & a_x = 0, ; a_y = 0 & (B) & P_A > P_B (iii) & a_x > 0, ; a_y = 0 & (C) & P_A 0, ; a_y > 0 & & array )

Step-by-step solution

Case (i): (a_x=0, a_y 0 ) - Vertical acceleration only ( ) pressure distribution changes with depth only, not horizontally. - So, (P_A=P_B ). ( ) Matches A. Case (ii): (a_x=0, a_y=0 ) - No acceleration ( ) normal hydrostatic condition. - Same level ( ) same pressure. - So, (P_A=P_B ). ( ) Matches A. Case (iii): (a_x>0, a_y=0 ) - Accelerating in (+x ) pressure increases opposite to acceleration (left side has higher pressure). - A is on left, B on right ( P_A>P_B ). ( ) Matches B. Case (iv): (a_x>0, a_y>0 ) - Combin