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Q.

A specific star is located approximately 8.1× 10 13   km from Earth. The light should travel ____ seconds from that star to the Earth while assuming that it moves at the speed of light.


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Detailed Solution

A specific star is located approximately 8.1× 10 13   km from Earth. The light should travel 2.7× 10 8  seconds from that star to the Earth while assuming that it moves at the speed of light.
Star’s distance from the earth =8.1× 10 13  km
Speed of light =3× 10 8 m/sec  
Converting distance in m with, 1km=1000m
=8.1× 10 13 ×1000m  
Using the exponent law, a to the power of m cross times a to the power of n equals a to the power of m n end exponent =8.1× 10 16  
Time = distance speed   (formula)
Substituting the values
Time = 8.1× 10 16 3× 10 8  
Using the exponent law, a m a n = a mn  
= 8.1× 10 8 3 =2.7× 10 8   =2.7× 10 8  
So, light travels from that star to the Earth in 2.7× 10 8  sec.
 
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