The pressure intensity at the bottom remains same, even if the tank moves with constant horizontal acceleration.

Explanation:
When a tank is subjected to constant horizontal acceleration, the pressure distribution within the liquid will be affected. However, the pressure intensity at the bottom of the tank will remain the same.

Pressure Intensity:
Pressure intensity is defined as the pressure acting per unit area. It is given by the equation:

P = ρgh

Where:
P = Pressure intensity
ρ = Density of the liquid
g = Acceleration due to gravity
h = Depth of the liquid

The Effects of Acceleration:
When the tank is subjected to constant horizontal acceleration, it experiences an additional force due to the inertia of the liquid. This force causes a redistribution of pressure within the liquid.

Pressure Distribution:
The pressure distribution within a stationary liquid is hydrostatic, meaning it increases linearly with depth. However, when the tank is accelerating horizontally, the pressure distribution becomes non-hydrostatic.

At the bottom of the tank, the pressure is equal to the pressure intensity. According to Pascal's principle, the pressure at any point in a fluid at rest is transmitted undiminished in all directions.

Constant Pressure Intensity:
Since the pressure at the bottom of the tank is transmitted undiminished, the pressure intensity remains the same, regardless of the tank's horizontal acceleration. This is because the pressure intensity depends only on the density of the liquid, acceleration due to gravity, and the depth of the liquid.

Conclusion:
Therefore, the statement that the pressure intensity at the bottom remains the same, even if the tank moves with constant horizontal acceleration, is false. The pressure distribution within the liquid will be affected by the acceleration, but the pressure intensity at the bottom will remain constant.