Question

Question 2.31 The farthest objects in our Universe discovered by modern astronomers are so distant that light emitted by them takes billions of years to reach the Earth. These objects (known as quasars) have many puzzling features, which have not yet been satisfactorily explained. What is the distance in km of a quasar from which light takes 3.0 billion years to reach us?

Class XI Physics Units And Measurements Page 38

Answer 1

Time taken by the light of the quasar to reach Earth = 3 bn years

This is equal to 3 x 10^9 years
                      = 3 x 10^9 x 365 x 24 x 3600

We know that speed of light = 3 x 10^8 m/s

=>Distance between the quasar and earth
                                                       = [3 x 10^8] x [3 x 10^9 x 365 x 24 x 3600]
                                                       = 283824 x 10^20 m
                                                       = 2.8 x 10^22 km

Answer 2

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Time taken by quasar light to reach Earth

= 3 billion years

= 3 × 109 years

= 3 × 109 × 365 × 24 × 60 × 60 s

Speed of light = 3 × 108 m/s

Distance between the Earth and quasar

= (3 × 108) × (3 × 109 × 365 × 24 × 60 × 60)

= 283824 × 1020 m

= 2.8 × 1022 km

I hope, this will help you

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