The correct statement that supports the Big Bang theory in the context of the change in the temperature of the universe is:
The universe is cooling, which is expected to happen as the universe expands.
Here's why:
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Big Bang Theory: The Big Bang theory posits that the universe began in an extremely hot and dense state and has been expanding ever since. As the universe expands, the energy density decreases, leading to a cooling of the universe.
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Temperature and Expansion: As the universe continues to expand, the residual radiation from the Big Bang, known as the cosmic microwave background radiation (CMB), cools down over time. The CMB was originally at a very high temperature immediately after the Big Bang, but it has since cooled as the universe has expanded.
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Current Observations: Measurements of the CMB and the distribution of galaxies confirm that the universe is currently cooling. This aligns with predictions based on the Big Bang theory, where the expansion leads to a decrease in temperature.
In summary, observations of the cooling universe provide strong evidence for the expansion of the universe, consistent with the predictions made by the Big Bang theory.