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Chapter 22: Problem 20

How far does a beam of light travel in 1 ns?

Short Answer

Expert verified
Answer: A beam of light travels approximately 0.2998 meters in 1 nanosecond.

Step by step solution

01

Convert time from nanoseconds to seconds

To convert 1 nanosecond to seconds, we can use the conversion factor 1 second = 1 x 10^9 nanoseconds. Therefore, 1 ns = 1/(10^9) seconds.
02

Apply the distance formula

Now we can use the distance formula with the speed of light (2.998 x 10^8 m/s) and the converted time value (1/(10^9) seconds). So, distance = (2.998 x 10^8 m/s) x (1/(10^9) s).
03

Calculate the distance

Multiplying the speed of light by the time value, we get distance = (2.998 x 10^8 m/s) x (1/(10^9) s) = 0.2998 m. Hence, a beam of light travels approximately 0.2998 meters in 1 nanosecond.

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Most popular questions from this chapter

An AM radio station broadcasts at \(570 \mathrm{kHz}\). (a) What is the wavelength of the radio wave in air? (b) If a radio is tuned to this station and the inductance in the tuning circuit is \(0.20 \mathrm{mH},\) what is the capacitance in the tuning circuit? (c) In the vicinity of the radio, the amplitude of the electric field is \(0.80 \mathrm{V} / \mathrm{m} .\) The radio uses a coil antenna of radius \(1.6 \mathrm{cm}\) with 50 turns. What is the maximum emf induced in the antenna, assuming it is oriented for best reception? Assume that the fields are sinusoidal functions of time.
A police car's radar gun emits microwaves with a frequency of $f_{1}=7.50 \mathrm{GHz}$. The beam reflects from a speeding car, which is moving toward the police car at \(48.0 \mathrm{m} / \mathrm{s}\) with respect to the police car. The speeder's radar detector detects the microwave at a frequency \(f_{2}\). (a) Which is larger, \(f_{1}\) or \(f_{2} ?\) (b) Find the frequency difference \(f_{2}-f_{1}\).
The intensity of the sunlight that reaches Earth's upper atmosphere is approximately \(1400 \mathrm{W} / \mathrm{m}^{2} .\) (a) What is the total average power output of the Sun, assuming it to be an isotropic source? (b) What is the intensity of sunlight incident on Mercury, which is $5.8 \times 10^{10} \mathrm{m}$ from the Sun?
What is the wavelength of the radio waves broadcast by an FM radio station with a frequency of 90.9 MHz?
Light polarized in the \(x\) -direction shines through two polarizing sheets. The first sheet's transmission axis makes an angle \(\theta\) with the \(x\) -axis and the transmission axis of the second is parallel to the \(y\) -axis. (a) If the incident light has intensity \(I_{0},\) what is the intensity of the light transmitted through the second sheet? (b) At what angle \(\theta\) is the transmitted intensity maximum?
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