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Chapter 19: Problem 100

What is the value of Wein's displacement constant? (A) \(e^{A}\) (B) \(1 / e^{A}\) (C) \(\ln A\) (D) \(1 / \operatorname{In} A\)

Short Answer

Expert verified
None of the given options is correct, as the value of Wein's displacement constant (b) is \(2.898 \times 10^{-3} \, m \cdot K\), which does not match any of the options provided.

Step by step solution

01

Recall Wein's Displacement Law formula

Wein's Displacement Law states that the product of the peak wavelength (位_max) and the temperature (T) of an object is constant. The formula for Wein's Displacement Law is: \(位_{max}\cdot T = b\) Where, \(位_{max}\) = peak wavelength of the blackbody radiation, T = temperature of the object, b = Wein's displacement constant.
02

Know the value of Wein's Displacement constant (b)

The value of Wein's displacement constant (b) is experimentally determined and found to be: \[b = 2.898 \times 10^{-3} \, m \cdot K\] Now let's use this information to identify which of the given options is correct.
03

Comparing the given options with the value of 'b'

Using our knowledge of Wein's displacement constant (b), we need to find which of the given options matches the value of b: (A) \(e^A\) (B) \(1 / e^A\) (C) \(\ln A\) (D) \(1 / \operatorname{In} A\) None of the given options matches the value of Wein's displacement constant (b), which is \(2.898 \times 10^{-3} \, m \cdot K\). This suggests that the exercise might contain an error or there's some missing information.

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