A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance?
Answers
Answer:
Lets say that the unit is called c and therefore it means that it means that distance travelled by light in one second is c. Now 8m 20s is 60x8 + 20 seconds i.e. 500s. So light takes 500s to reach earth. Therefore the distance between earth and sun becomes 5
500 Units
Given:
Speed of Light = 1 unit
Time taken in mins = 8 mins
Time taken in seconds = 20 seconds
Calculating total time taken by converting everything into seconds:
= Time in mins x 60 + Time in Seconds
= 8 x 60 + 20
= 480 + 20
= 500 seconds
To Find:
The Distance Between Sun And Earth
Calculating:
Formula that we use to calculate the distance between the Sun and Earth:
= Time Taken By Light To Complete The Distance x Speed Of Light
Substituting the values known to us in this formula we get:
= 500 x 1
= 500 units
Therefore, the distance between the Sun and Earth in terms of the new unit if light takes 8 min and 20 seconds to cover the distance is 500 units.