A light year is the distance light travels in one year. How many metres are there in one light year: (speed of light = 3.0 x 10⁸ms⁻¹). (Ans: 9.5 x 10¹⁵m)


Given: 

Time = t = 1 year 
Speed of light = v = 3 ｘ 10⁸ ms⁻¹


To find: 

Distance (Light Years) = S = ?


Solution:  

First, we will convert year to seconds (SI unit Conversion). So, 

We know that 
1 year = 24 hours
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

So, 

t = 1 year = 365 ｘ 24 ｘ 60 ｘ 60 s

t = 31536000 s

t = 3.154 ｘ 10⁷s

Now using the formula among Distance (S), Speed (v), and time (t)

S = vt

by putting the values we have

S = 3 ｘ 10⁸ ms⁻¹ ｘ 3.154 ｘ 10⁷s

S = (3 ｘ 3.154) ｘ 10⁸⁺⁷ m

S = 9.4608 ｘ 10¹⁵ m

S = 9.5 ｘ 10¹⁵ m --------Ans


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