Question

Which law relates the wavelength of maximum emission to the temperature of a blackbody?

• A. Stefan-Boltzmann Law
• B. Wien’s Displacement Law
• C. Planck’s Law
• D. Kirchhoff’s Law

Hint:

\textbf{Wien’s Law:} Hotter body → shorter wavelength.
Sun (hot) → shortwave, Earth (cool) → longwave.

Answer 1

The Correct Option is B

Concept: Blackbody radiation laws describe how objects emit radiation based on their temperature.
Step 1: Understanding the relationship.
The law that connects the wavelength of maximum emission with temperature is: \[ \lambda_{\max} T = \text{constant} \]
Step 2: Identifying the law.
This relationship is given by Wien’s Displacement Law.
Step 3: Eliminating incorrect options.

• Stefan-Boltzmann Law relates total energy to \(T^4\).
• Planck’s Law gives full radiation distribution.
• Kirchhoff’s Law relates emission and absorption.

Conclusion:
Thus, the correct answer is Wien’s Displacement Law.