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Question

What is the order of magnitude of the distance of a quasar from us if light takes 2.9 billion years to reach us ?

A
2.7×1025m
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B
1025m
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C
1024m
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D
3×1025m
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Solution

The correct option is A 1025m
Here, time taken t=2.9 billion years =2.9×109 years =2.9×109×(365×24×3600)s=9.14×1016s
Distance = velocity × time
or d=(3×108)×(9.14×1016)=2.74×1025m
As 2.74<5 so it will be taken as 1.
Thus, the order of magnitude of distance d=1×1025m=1025m

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