Question

The distance between the Earth and the Sun in is 150 into 10 to the power 6 km Express this distance in the light year

Answer 1

1 light year is 9.461 × 10¹² km

x light year is 150 × 10^6 km

x = (150/9.461)x 10^(-6)

Answer 2

The distance between the Earth and the Sun is $d=1.58\times 10^{-5}\ light\ year$.

Explanation:

It is given that, the distance between the Earth and the Sun is,

$d=150\times 10^6\ km$

Since,

1 km = 1000 m

$d=150\times 10^9\ m$

We need to convert the distance in light year. We know that,

$1\ light\ year=9.461\times10^{15}\ m$

So,

$1\ m=1.057\times 10^{-16}\ ly$

$150\times 10^9\ m=1.057\times 10^{-16}\times 150\times 10^9$

$d=1.58\times 10^{-5}\ light\ year$

So, the distance between the Earth and the Sun is $d=1.58\times 10^{-5}\ light\ year$. Hence, this is the required solution.

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The distance between the Earth and the Sun in is 150 into 10 to the power 6 km Express this distance in the light year