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Chapter 6: Q37E (page 1520)

The 2.728-Kblackbody radiation has its peak wavelength at 1.062mm. What was the peak wavelength at t=700,000years when the temperature was 3000K?

Short Answer

Expert verified

The peak wavelength at t=700.00 years when the temperature as 3000K is 966nm.

Step by step solution

01

Define the Wein displacement law

According to the Wien displacement law, the peak wavelength of the blackbody represented by 位mis inversely proportional to the temperature Tof the body.

02

Determine the wavelength

The peak wavelengths 位1and 位2at different temperature T1and T2is written as:

位1T1-位2T1位T2=位藱2I

Given that,

位1=1.062nmT1=2.728KT2=3000K

So,

位2=位1T1T2

Substituting the values, and we get,

位2=(1.062)(2.728)3000=966nm

Hence, the peak wavelength is 966nm.

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