A black body of temperature `T` is inside a chamber of temperature `T_(0)` Now the closed chamber is slightly opened to Sun that temeperature of black body `(T)` and chamber `(T_(0))` remain constant .

Options

A. Black body will absorb more radiation
B. Black body will absorb less radiation
C. Black body will emit more energy
D. Black body will emit energy equal to energy absorbed by it

Answer

To solve the problem step by step, we need to analyze the situation involving the black body, the chamber, and the Sun's influence. Here’s how to approach it:

### Step 1: Understand the System
We have a black body at temperature \( T \) placed inside a closed chamber at temperature \( T_0 \). The chamber is slightly opened to the Sun.

**Hint:** Identify the components of the system: the black body, the chamber, and the external heat source (the Sun).

### Step 2: Recognize the Conditions
The problem states that the temperatures \( T \) and \( T_0 \) remain constant even after the chamber is opened to the Sun. This indicates a balance in energy.

**Hint:** Think about what it means for temperatures to remain constant in terms of energy transfer.

### Step 3: Apply the Concept of Energy Transfer
Since the temperature of the black body and the chamber remains constant, the energy absorbed by the black body from the Sun must equal the energy it radiates away.

**Hint:** Consider the principle of thermal equilibrium, where energy in equals energy out.

### Step 4: Set Up the Energy Balance Equation
Let \( E_{\text{absorbed}} \) be the energy absorbed by the black body from the Sun, and \( E_{\text{radiated}} \) be the energy emitted by the black body. Since the temperatures are constant, we can write:
\[ E_{\text{absorbed}} = E_{\text{radiated}} \]

**Hint:** This equation reflects the steady state of energy for the black body.

### Step 5: Conclude the Result
From the energy balance, we conclude that the black body emits equal energy to the energy it absorbs. Therefore, the correct option is that the black body will emit equal energy to the energy absorbed by it.

**Hint:** Look for options that reflect this equality in energy transfer.

### Final Answer
The correct conclusion is that the black body emits equal energy to the energy absorbed by it.