Question

The farthest objects in our Universe discovered by modern astronomers are so distant that the 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?

Answer 1

Hii dear,

# Answer - 2.84×10^22 km

# Given-
Distance of quasar from earth,
D = 3 billion ly = 3×10^9 ly.

# Solution-
Conversion factor for ly to m,
1 ly = 9.46×10^15 m
Hence,
D = 3×10^9×9.46×10^15
D = 2.84×10^25 m
D = 2.84×10^22 km

Hence, the quasar is 2.84×10^22 km far from the earth.

Hope this helps you.

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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