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Certain substance emits only the wavelen...

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

A

`lamda_1`

B

`lamda_2`

C

`lamda_1` and `lamda_2`

D

`lamda_1`,`lamda_2`,`lamda_3` and `lamda_4`

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The correct Answer is:
To solve the problem, we need to understand the relationship between emission and absorption of wavelengths by a substance when it is heated. ### Step-by-Step Solution: 1. **Understanding Emission and Absorption**: When a substance is heated, it emits radiation at specific wavelengths. In this case, the substance emits wavelengths \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \). 2. **Kirchhoff's Law of Thermal Radiation**: According to Kirchhoff's law, a good emitter of radiation at a certain wavelength is also a good absorber of that same wavelength. This means that if a substance emits certain wavelengths, it will also absorb those same wavelengths. 3. **Identifying the Emitted Wavelengths**: From the problem, we know the emitted wavelengths are \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \). 4. **Conclusion on Absorption**: Since the substance emits \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \), by Kirchhoff's law, it must also absorb these same wavelengths. Therefore, the absorbed wavelengths are also \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \). 5. **Final Answer**: The substance will absorb the wavelengths \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \).

To solve the problem, we need to understand the relationship between emission and absorption of wavelengths by a substance when it is heated. ### Step-by-Step Solution: 1. **Understanding Emission and Absorption**: When a substance is heated, it emits radiation at specific wavelengths. In this case, the substance emits wavelengths \( \lambda_1, \lambda_2, \lambda_3, \) and \( \lambda_4 \). 2. **Kirchhoff's Law of Thermal Radiation**: According to Kirchhoff's law, a good emitter of radiation at a certain wavelength is also a good absorber of that same wavelength. This means that if a substance emits certain wavelengths, it will also absorb those same wavelengths. ...
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