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Show that the temperature of a planet va...

Show that the temperature of a planet varies inversely as the square root of its distance from the sum.

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To show that the temperature of a planet varies inversely as the square root of its distance from the Sun, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept**: We need to establish a relationship between the temperature (T) of a planet and its distance (R) from the Sun. According to Stefan-Boltzmann Law, the energy emitted per unit area of a black body is proportional to the fourth power of its temperature. 2. **Use Stefan-Boltzmann Law**: The law states that the energy loss per unit area (E_loss) is given by: \[ ...
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