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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

A microwave oven can heat 350 g of water from \(25.0^{\circ} \mathrm{C}\) to \(100.0^{\circ} \mathrm{C}\) in 2.00 min. (a) At what rate is energy absorbed by the water? (b) Microwaves pass through a waveguide of cross-sectional area \(88.0 \mathrm{cm}^{2} .\) What is the average intensity of the microwaves in the wave guide? (c) What are the rms electric and magnetic fields inside the wave guide?
Unpolarized light is incident on a system of three polarizers. The second polarizer is oriented at an angle of \(30.0^{\circ}\) with respect to the first and the third is oriented at an angle of \(45.0^{\circ}\) with respect to the first. If the light that emerges from the system has an intensity of $23.0 \mathrm{W} / \mathrm{m}^{2},$ what is the intensity of the incident light?
The electric field of an EM wave is given by \(E_{z}=\) $E_{\mathrm{m}} \sin (k y-\omega t+\pi / 6), E_{x}=0,\( and \)E_{z}=0 .$ (a) In what direction is this wave traveling? (b) Write expressions for the components of the magnetic field of this wave.
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 \(f_{2}-f_{1}\).
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.
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