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Wien's law is concerned with: (a) wavel...

Wien's law is concerned with: (a) wavelength corresponding to maximum energy and absolute temperature. (b) radiated energy and wavelength. (c) emissive power and temperature. (d) colour of light and temperature.

A

wavelength corresponding to maximum energy and absolute temperature

B

radiated energy and wavelength

C

emissive power and temperature

D

colour of light and temperature

Text Solution

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The correct Answer is:
To solve the question regarding Wien's law, let's go through the steps systematically. ### Step 1: Understand Wien's Law Wien's law, specifically known as Wien's displacement law, relates the temperature of a black body to the wavelength at which it emits radiation most intensely. ### Step 2: Write the Definition Wien's displacement law states that the wavelength (λ) corresponding to the maximum intensity of radiation emitted by a black body is inversely proportional to its absolute temperature (T). This can be mathematically expressed as: \[ \lambda_m \cdot T = b \] where \( \lambda_m \) is the wavelength at maximum intensity, \( T \) is the absolute temperature, and \( b \) is a constant. ### Step 3: Analyze the Options Now, let's analyze the given options in the question: (a) Wavelength corresponding to maximum energy and absolute temperature. (b) Radiated energy and wavelength. (c) Emissive power and temperature. (d) Colour of light and temperature. ### Step 4: Evaluate Each Option - **Option (a)**: This option is correct because it directly relates to the wavelength at which maximum energy is emitted and its relation to absolute temperature, which is what Wien's law describes. - **Option (b)**: This option is incorrect as it does not specifically mention the relationship with temperature. - **Option (c)**: This option is also incorrect because emissive power is not the main focus of Wien's law. - **Option (d)**: This option is incorrect as it relates color to temperature, which is not the primary concern of Wien's law. ### Step 5: Conclusion The correct answer is **(a) wavelength corresponding to maximum energy and absolute temperature**.
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