A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is

Options

A. same everywhere
B. lower in front side
C. lower in rear side
D. lower in uper side

Answer

To solve the problem of pressure distribution in a closed compartment containing gas that is accelerating horizontally, we can follow these steps:

### Step 1: Understand the scenario
We have a closed compartment filled with gas that is accelerating in the horizontal direction. We are to neglect the effect of gravity, which simplifies our analysis.

**Hint:** Consider the effects of acceleration on the gas molecules inside the compartment.

### Step 2: Analyze the forces acting on the gas
When the compartment accelerates, the gas molecules experience a fictitious force in the opposite direction of the acceleration. This means that if the compartment is accelerating to the right, the gas molecules will seem to be pushed to the left.

**Hint:** Remember that fictitious forces arise in non-inertial frames of reference.

### Step 3: Pressure distribution in the compartment
Due to the fictitious force, the pressure will not be uniform throughout the compartment. The pressure will be higher at the rear side (the left side if the compartment is accelerating to the right) and lower at the front side (the right side). This is because the gas molecules are being pushed towards the rear side, leading to a higher concentration of gas molecules and thus higher pressure there.

**Hint:** Think about how gas molecules behave when subjected to an external force.

### Step 4: Conclusion about pressure levels
Since the pressure is higher at the rear side and lower at the front side, we conclude that the pressure in the compartment is lower in the front side.

**Hint:** Compare the pressure levels at different points in the compartment to find the correct answer.

### Final Answer
The pressure in the compartment is lower in the front side.