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  • Sun's Apparent Brightness: Exploring the Inverse Square Law
    Here's how to figure out how much dimmer the Sun would appear:

    Understanding the Inverse Square Law

    The brightness of light (or any radiation) follows the inverse square law. This means:

    * If you double the distance from a light source, the brightness decreases by a factor of four (2 squared).

    * If you triple the distance, the brightness decreases by a factor of nine (3 squared).

    Applying the Law

    * The Sun is currently 93 million miles from Earth.

    * If we move the Sun four times farther away, it would be 372 million miles away.

    This means the Sun would be four times farther away, so the brightness would decrease by a factor of 16 (4 squared).

    Conclusion

    The Sun would appear 16 times dimmer to an observer on Earth if it were four times farther away.

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