Certain substance emits only the wavelengths `lamda_1,lamda_2,lamda_3` and `lamda_4` when it is at a high temperature, it will absorb only the following wavelengths

Options

A. `lambda_(1)`
B. `lambda_(2)`
C. `lambda_(1) and lambda_(2)`
D. `lambda_(1),lambda_(2),lambda_(3) and lambda_(4)`

Explanation

To solve the problem, we will apply Kirchhoff's law of thermal radiation, which relates the emission and absorption of radiation by a substance.

### Step-by-Step Solution:

1. **Understanding the Problem**:
The question states that a certain substance emits specific wavelengths (λ1, λ2, λ3, and λ4) when at a high temperature. We need to determine which wavelengths this substance will absorb.

2. **Applying Kirchhoff's Law**:
Kirchhoff's law of thermal radiation states that at thermal equilibrium, the emissivity (the ability to emit radiation) of a body is equal to its absorptivity (the ability to absorb radiation) at a given temperature and wavelength. This means that if a substance emits certain wavelengths, it must also absorb those same wavelengths.

3. **Identifying the Emitted Wavelengths**:
The emitted wavelengths are λ1, λ2, λ3, and λ4. According to Kirchhoff's law, since the substance emits these wavelengths, it will also absorb them.

4. **Conclusion**:
Therefore, the substance will absorb all the wavelengths it emits. The correct answer is that it will absorb all four wavelengths: λ1, λ2, λ3, and λ4.

### Final Answer:
The substance will absorb all the wavelengths: **Option D (λ1, λ2, λ3, λ4)**.

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