Question

Light travels 300 000 000 m/s and one year has approximately 32 000 000 second a light year is the distance light travels in one year

Answer 1

Step-by-step explanation:

It is given that,

Speed of light,
`v=300 000 000\ m/s=3* 10^8\ m/s`

Seconds in 1 year,
`t=32 000 000=32* 10^6\ s`

We need to find the distance traveled by light in one year. Speed of an object is given by :

`v=(d)/(t)`

So,

`d=v* t\\\\d=3* 10^8* 32* 10^6\\\\d=9.6* 10^(15)\ m`

Since,

`1\ \text{light year}=9.46* 10^(15)\ m\\\\1\ m=(1)/(9.46* 10^(15))\ \text{ly}\\\\9.6* 10^(15)\ m=(9.6* 10^(15))/(9.46* 10^(15))\\\\d=1.01\ \text{ly}`

So, the distance covered by light is 1.01 light years.