Question

establishe the relation between 1AU and 1LY

Answer 1

Each is used to measure the very large distance in our universe.

Explanation:

ASTRONOMICAL UNIT:

The AU or astronomical unit is the shortest distance of the three. It is the mean distance from the sun to the earth but since our distance to the sun varies from about 92.5 million miles to 93.5 million miles it is not exact. The average, 93 million miles is used. The AU is used strictly to measure distances in our solar system.

1 AU=1.5×10^11m

LIGHT YEAR:

The next distance is a light year. A light year is the distance light travels in one year. Light travels at 186,000 miles per second. Multiplied out that means light travels roughly 6 trillion miles in one year. The nearest star is about 4.22 light years away. That comes to roughly 25 trillion miles. The distance in trillions is simply to great for the human mind to grasp and overburdens computers when doing measurements.

1 ly =9.46×10^15m

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Answer 2

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1 AU = 1.5 × 10¹¹ m

1 ly = 9.46 × ${10}^{15}$ m

$\dfrac{1\: ly}{1\: AU}$ = $\dfrac{1.5 \:\times {10}^{11}}{{9.46\:\times\:{10}^{15}}}$

Hence,

1 ly = 6.3 × 10⁴ AU

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