Q : Verify Wien's displacement law (frequency and wavelength form)?

• sam_021
In summary, Wien's displacement law is a relationship between the wavelength of the peak emission of a black body and its temperature. The equation for this law is λ_max = b/T, where λ_max is the peak wavelength, b is a constant, and T is the temperature in Kelvin. The significance of this law lies in its ability to determine the temperature of a blackbody and explain the distribution of energy emitted at different temperatures. This law can be verified through experiments using different black bodies and has practical applications in fields such as astronomy, lighting, and technology.
sam_021
HINT: SUB in (x=hv/k(b)T)

I don't understand How I am supposed to approach this question or how I am supposed to verify it

Please post the entire question.

What is Wien's displacement law?

Wien's displacement law is a relationship between the wavelength of the peak emission of a black body and its temperature. It states that as the temperature of a black body increases, the wavelength of the peak emission decreases.

What is the equation for Wien's displacement law?

The equation for Wien's displacement law is λ_max = b/T, where λ_max is the peak wavelength, b is a constant (2.898 x 10^-3 m⋅K) and T is the temperature in Kelvin.

What is the significance of Wien's displacement law?

Wien's displacement law is significant because it provides a way to determine the temperature of a black body based on the wavelength of its peak emission. It also helps to explain the distribution of energy emitted by a black body at different temperatures.

How is Wien's displacement law verified?

Wien's displacement law can be verified through experiments using different black bodies at different temperatures. The peak emission wavelength can be measured using a spectrometer and the temperature can be measured using a thermometer. The results should follow the predicted relationship of λ_max = b/T.

What are some practical applications of Wien's displacement law?

Wien's displacement law has practical applications in fields such as astronomy, where it is used to determine the surface temperatures of stars based on their peak emission wavelengths. It is also used in the design of incandescent light bulbs and infrared cameras.

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