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# Astronomical unit $\left( {{\text{AU}}} \right)$ is the distance between earth and the sun, ${\text{1}}\,{\text{AU}}$ is equal to the:A. $1.496 \times {10^8}\,{\text{km}}$B. $9.46 \times {10^{12}}\,{\text{km}}$C. $3.084 \times {10^{13}}\,{\text{km}}$D. $4.596 \times {10^{15}}\,{\text{km}}$

Last updated date: 18th Sep 2024
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Hint: Astronomical unit is a huge distance which is used to measure the distance between the celestial bodies, which is roughly a distance of $500$ times the distance travelled by light in one second.

The astronomical unit is a unit of length equal to around $150$ million kilometres ( $93$ million miles), approximately the distance from Earth to the Sun. As Earth circles the Sun, the exact distance varies, from a peak (aphelion) to a minimum (perihelion) and back once each year. Originally, the ${\text{AU}}$ was conceived as the Earth's average aphelion and perihelion; however, it has been identified as precisely $149597870700\,{\text{m}}$ since $2012$ .
As we have got the distance between the earth and the sun is $149597870700\,{\text{m}}$.
$149597870700\,{\text{m}} \\ \Rightarrow {\text{1}}{\text{.49}} \times {\text{1}}{{\text{0}}^{{\text{11}}}}\,{\text{m}} \\ \Rightarrow {\text{1}}{\text{.49}} \times {\text{1}}{{\text{0}}^{{\text{11}}}} \times {10^{ - 3}}\,{\text{km}} \\ \therefore{\text{1}}{\text{.49}} \times {\text{1}}{{\text{0}}^{\text{8}}}\,{\text{km}} \\$
Hence, the distance between the earth and the sun is ${\text{1}}{\text{.49}} \times {\text{1}}{{\text{0}}^{\text{8}}}\,{\text{km}}$ . The correct option is A.