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Chapter 1: 3 (page 27)

Question: How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)?

Short Answer

Expert verified

Answer

Light takes 1.016 nanoseconds to travel 1 ft distance in vacuum.

Step by step solution

01

Speed of light in vacuum

When light travels through the vacuum, it has the maximum speed. The speed of light in a vacuum is 3x108 m/s. No object in the universe can travel more than this speed.

Given data:

The distance traveled in vacuum is d = 1 ft.

The speed of light in vacuum is v=3x108 m/s.

02

Calculation of time in nanoseconds

Since, formula of speed of light is the ratio ofdistance traveled by the light to the time taken to travel that distance.

v=dt3×108 m/s=1 ft×0.3048 m1 fttt=1.016×10−9 s×1 ns1×10-9 st=1.016 ns

Hence from the above calculation it seems light takes 1.016 nanoseconds to travel 1 ft distance in vacuum.

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