The point where the pressure is maximum is at point h in the cubical container. Hence the correct option is c.
In a fluid at rest, pressure is exerted uniformly in all directions. However, when the fluid is in motion or experiences acceleration, pressure variations may occur. In this scenario, the cubical container is moving in a gravity-free space with a constant acceleration vector a=a0(i−j+k), where a0 is a positive constant. This acceleration induces pseudo forces within the fluid, and these forces contribute to the pressure distribution.
Considering the acceleration vector, we observe that it has components in all three spatial directions. At point c, which is located at the bottom corner of the container, the acceleration vector contributes both positively in the i direction and negatively in the j direction. This configuration leads to a favorable condition for an increase in pressure at point c compared to other points in the container.
To understand this, imagine a column of fluid particles at point c. The acceleration a induces forces on these particles, resulting in an increased pressure at the bottom surface due to the positive i-direction acceleration component. Simultaneously, the negative j-direction component reduces the opposing forces in the upward direction, allowing for a net increase in pressure at point c. Therefore, point c is where the pressure is maximum in the cubical container under the given acceleration conditions. Hence the correct option is c.