00:01
Hello students, this question is regarding conversion of distance and speed of light between different system of units.
00:07
First question is to express one light year in kilometer.
00:14
Let us write the formula for distance.
00:17
Light year is the distance traveled by light in one year.
00:21
So we write the formula for distance which is velocity of light into time.
00:26
To get the answer in kilometer, we need to write speed of light c in terms of kilometer per second and the time that is one year in terms of seconds thereby one light year will be equal to speed of light in kilometer per second will be 3 into 10 to the part 5 into 1 year has 365 days and each day has 24 hours with 1 hour having 60 minutes in terms of seconds multiplied by another seconds doing so, we get one light year as 9 .46 into 10 to the part 12 km.
01:15
Moving forward, next part b is to express speed of light in light year per year.
01:25
Velocity or speed is given by the formula distance by time.
01:29
Let us write the numerator distance 1 meter in terms of light year.
01:33
We get 1 divided by 9 .46 into 10 to the part 15 light year.
01:42
Similarly, one second also in terms of year will be 1 divided by 365 into 24 into 60 into 60 year.
01:55
Substuting this in this formula we can write the speed of light see as 3 .10 to the part 8 meter.
02:03
Per second is its value...