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Question

How many light-years away is Mars from earth?


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Solution

Step 1: Express light-years in km

A light-year is defined as the distance traveled by light in one year.

The speed of light in vacuum is 3×108m/s.

1yr=365d×24h×60min×60s

=3.1×107s

We know that,

In 1s light travels 3×108m.

Therefore, in 3.1×107s light will travel

3×108×3.1×107m=9.5×1015m

=9.5×1012km

Step 2: Calculate distance in light-years

The distance between Earth and Mars 2.5×108km

Therefore this distance in light year is,

d=2.5×1089.5×1012

=2.63×10-5ly

Hence, there is 2.63×10-5 light years of distance between Mars and Earth.


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