Question

An enclosed container filled with gas is moving in a horizontal direction with some acceleration. Neglecting the gravitational force, the pressure of the gas inside the container will be

• A. same everywhere
• B. less in the front plane
• C. less in the back plane
• D. less in the upper plane

Hint:

In accelerating frames, pressure increases in the direction opposite to the acceleration due to the inertial forces acting on the gas molecules.

Answer 1

The Correct Option is C

Step 1: Understanding the situation.
When a container with gas is moving with acceleration, the pressure distribution within the container will be influenced by the inertia of the gas molecules. The gas molecules at the rear of the container experience a force due to the acceleration, which causes the pressure at the back to be higher than at the front. Step 2: Pressure distribution due to acceleration.
In an accelerated frame, the pressure at the back plane will be higher compared to the front plane because the gas molecules in the front part are subject to less pressure due to their inertia opposing the acceleration. Step 3: Conclusion.
The correct answer is (3) less in the back plane.