Two identical objects A and B are at temperatures `T_A` and `T_B`. Respectively. Both objects are placed in a room with perfectly absorbing walls maintained at a temperature `T(T_AgtTgtT_B)`. The objects A and B attain the temperature T eventually. Select the correct statements from the following:

Options

A. A only emits radiation while B only obsorbs it until both attain the temperature T
B. A loses more heat by radiation than it absorbs, while B absorbs more radiation than it emits, until they attain the temperature T
C. Both A and B only absorb radiation, but do not emit it, until they attain the temperature T
D. Each object continuous to emit and absorb radiation even after attaining the temperature T.

Explanation

To solve the problem, we need to analyze the situation involving two identical objects A and B at different temperatures, placed in a room with perfectly absorbing walls at a constant temperature T.

### Step-by-Step Solution:

1. **Identify the Initial Conditions**:
- Object A is at temperature \( T_A \) (where \( T_A > T \)).
- Object B is at temperature \( T_B \) (where \( T_B < T \)).
- The room is maintained at temperature \( T \).

2. **Understand Heat Transfer**:
- Heat transfer occurs due to temperature differences. Heat flows from a higher temperature to a lower temperature.
- Since \( T_A > T \), object A will emit radiation (lose heat) to the surroundings.
- Since \( T_B < T \), object B will absorb radiation (gain heat) from the surroundings.

3. **Behavior of Object A**:
- Object A continuously emits radiation until it reaches temperature T.
- During this process, it loses more heat than it gains because it is at a higher temperature than T.

4. **Behavior of Object B**:
- Object B continuously absorbs radiation until it reaches temperature T.
- It gains more heat than it emits because it is at a lower temperature than T.

5. **Equilibrium Condition**:
- Both objects will eventually reach the temperature T. At this point, they will be in thermal equilibrium with the room.
- However, even at thermal equilibrium, both objects will still emit and absorb radiation. This is because thermal equilibrium is dynamic; while the net heat exchange is zero, energy is still being exchanged in equal amounts.

6. **Conclusion**:
- The correct statements based on the analysis are:
- A only emits radiation while B only absorbs until they reach temperature T.
- A loses more heat by radiation than it absorbs.
- B absorbs more radiation than it emits.
- Even after reaching temperature T, both objects continue to emit and absorb radiation, maintaining dynamic thermal equilibrium.

### Final Statements:
- **Correct Statements**:
1. A only emits radiation while B only absorbs until they both attain temperature T.
2. A loses more heat by radiation than it absorbs.
3. B absorbs more radiation than it emits.
4. Each object continues to emit and absorb radiation even after attaining temperature T.