Question

An astronomical unit (AU) is the average distance between Earth and the Sun, approximately ${}^{\mathbf{1}\mathbf{.}\mathbf{50}\mathbf{\times }{\mathbf{10}}^{\mathbf{8}}\mathbf{}\mathbf{km}}$. The speed of light is about ${}^{\mathbf{3}\mathbf{.}\mathbf{0}\mathbf{\times }{\mathbf{10}}^{\mathbf{8}}\mathbf{}\mathbf{m}\mathbf{/}\mathbf{s}}$. Express the speed of light in astronomical units per minute.

Short answer

The speed of light in astronomical units per minute is${}^{\mathbf{0}\mathbf{.}\mathbf{12}\mathbf{}\mathbf{A}\mathbf{.}\mathbf{U}\mathbf{.}\mathbf{/}\mathbf{min}}$

Step-by-step solution

Given data

Understanding the unit conversion

Unit conversion is the conversion between different units of measure for the same quantity, usually through multiplier conversion factors.

Determination of the speed of light

The speed of light in astronomical units per minutes is,

Thus, the speed of light in astronomical units per minute is${}^{\mathbf{0}\mathbf{.}\mathbf{12}\mathbf{}\mathbf{A}\mathbf{.}\mathbf{U}\mathbf{.}\mathbf{/}\mathbf{min}}$.