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Chapter 1: Problem 14

Use the definition of the meter to determine how far light travels in 1 ns.

Short Answer

Expert verified
Light travels approximately 0.2998 meters in 1 nanosecond.

Step by step solution

01

Understanding the concept

Firstly, it's important to grasp the concept that the speed of light in vacuum is defined as 299,792,458 meters per second. That means in 1 second, light can travel 299,792,458 meters.
02

Conversion of time

Knowing that 1 ns (nanosecond) is equal to one billionth (1/1,000,000,000) of a second, the task now is to find out how far light can travel in this very short amount of time.
03

Apply the speed of light

Now, multiply the speed of light (299,792,458 m/s) by the time in seconds (1 ns or \(1 \times 10^{-9}\) seconds). This gives you the distance light can traverse in 1 ns.
04

Calculate the distance

Perform the calculation steps: \(299,792,458 m/s \times 1 ns = 299,792,458 m/s \times 1 \times 10^{-9} s = 0.2998 m\), rounded to 4 decimal places.

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