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A particular star is at a distance of about 8.1 × 1013 km from the Earth. Assuring that light travels at 3 × 108 m per second, find how long does light takes from that star to reach the Earth. - Mathematics

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Question

A particular star is at a distance of about 8.1 × 1013 km from the Earth. Assuring that light travels at 3 × 108 m per second, find how long does light takes from that star to reach the Earth.

Sum

Solution

The distance between Star and Earth = 8.1 × 1013 km = 8.1 × 1013 × 103 m

Since, light travels at 3 × 108 m per second.

So, time taken by light to reach the Earth = `(8.1 xx 10^13 xx 10^3)/(3 xx 10^8)`

= `(8.1 xx 10^16)/(3 xx 10^8)`

= `8.1/3 xx 10^8`

= 2.7 × 108 s

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Chapter 8: Exponents and Powers - Exercise [Page 274]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 174. | Page 274

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