Question

The Wien's displacement law express relation between

• A. wavelength corresponding to maximum energy and temperature
• B. radiation energy and wavelength
• C. temperature and wavelength
• D. colour of light and temperature

Answer 1

The Correct Option is A

To answer the question about the relationship expressed by Wien's displacement law, we need to understand what this law states in the context of blackbody radiation.

**Wien's Displacement Law** is a fundamental principle in thermodynamics and quantum mechanics, and it describes the relationship between the temperature of a blackbody and the wavelength at which it emits radiation most intensely.

The mathematical expression of Wien's Displacement Law is given as:

\lambda_{\text{max}} = \frac{b}{T}

Here:

• \lambda_{\text{max}} is the wavelength corresponding to the maximum energy emission.
• T is the absolute temperature of the blackbody in Kelvin.
• b is Wien's displacement constant, approximately equal to 2.897 \times 10^{-3} \, \text{m\,K}.

**Explanation of the Options:**

• Option 1:
  wavelength corresponding to maximum energy and temperature
  - This correctly represents the relationship given by Wien's displacement law, as explained above.
• Option 2:
  radiation energy and wavelength
  - Although blackbody radiation is about energy and wavelength, Wien's law specifically does not describe this relationship.
• Option 3:
  temperature and wavelength
  - While this seems close, it is too general. Wien's law specifically relates to wavelength at maximum energy emission and temperature.
• Option 4:
  colour of light and temperature
  - This is a less precise understanding of the law. While the peak wavelength affects the perceived color, it is not the primary description of Wien's displacement law.

Thus, the correct answer is: Option 1: Wavelength corresponding to maximum energy and temperature.