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Question 4
In the middle of the 20th century, there were two competing theories of the Universe. In 1964, electromagnetic radiation was observed coming from all directions in s... show full transcript
Step 1
Answer
One theory that could explain the observed electromagnetic radiation is the Big Bang Theory. This theory predicts that the universe began from a hot, dense state and has been expanding ever since. According to this theory, the electromagnetic radiation we observe today is a remnant of that initial event.
The graph in Figure 2 indicates a peak intensity of radiation, which corresponds to the cosmic microwave background (CMB) radiation, a key piece of evidence supporting the Big Bang Theory. This radiation is observed at a wavelength of approximately 2.7 mm, consistent with the predictions of the Big Bang model, as it predicts black body radiation with a temperature of about 2.7 K.
Step 2
Answer
A suitable calculation involves using Wien's Law, which relates the temperature of a black body to the wavelength at which it emits the most radiation. Wien's Law is given by:
where b is a constant approximately equal to 2898 µm K.
For the observed peak wavelength of 2.7 mm (or 2700 µm), we can rearrange the equation to calculate the temperature:
This calculation further supports the theory of the universe's origins as described by the Big Bang Theory and correlates with the observed CMB.
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