If the temperature on earth is 300 kelvins, the temperature at the surface of an object located at 946 AU from the sun is roughly 9.8 Kelvins.
In general, when a planet gets further from the Sun, its surface temperature drops. The farther a planet is from the Sun, the colder its surface temperatures tend to be. Venus is an exception, as it has the highest surface temperature in our solar system due to its close closeness to the Sun and its thick atmosphere.
The geothermal gradient, or increase in temperature as one moves closer to the center of the Earth The rate at which the temperature of the Earth rises with depth is known as the geothermal gradient.
In the given question it is given that temperatures at the surface of objects in the solar system decreases approximately in proportion to the square root of the distance from the sun then if the distance from the sun is 946 AU then the temperature will be 9.8 K.
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