Final answer:
To find the temperature of body B, one must use Wien's displacement law in conjunction with the given temperature of body A and the shift in peak wavelength. The resulting calculation does not match any of the provided answer choices, suggesting an issue with the given answers or the question's information.
Step-by-step explanation:
The question involves the concept of blackbody radiation in physics, especially focusing on Wien's displacement law and the Stefan-Boltzmann law. Using Wien's displacement law, which is given as λmax T = 2.898 × 10-3 m·K, we can calculate the temperature of body B given that the peak wavelength shift from body A is 1.00 µm and the temperature of A is 5802 K.
First, we find the wavelength of maximum spectral radiancy for body A using Wien's displacement law: λA = λmax = (2.898 × 10-3) / 5802 K. Then, we get λB = λA + 1.00 µm. Knowing that body B radiates energy at the same rate and using the equation for Wien's displacement law, we can find the temperature of B by rearranging Wien's law to T = (2.898 × 10-3) / λB.
After performing the calculation, we can see which option correctly represents the temperature of body B. The correct answer is that the temperature of B is not listed in the options provided (2901 K, 1934 K, or 11604 K), indicating there may be an issue either with the provided answers or the question's information being incomplete.