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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

The electric field in a microwave traveling through air has amplitude $0.60 \mathrm{mV} / \mathrm{m}\( and frequency \)30 \mathrm{GHz}$. Find the amplitude and frequency of the magnetic field.
An electric dipole antenna used to transmit radio waves is oriented vertically.At a point due north of the transmitter, how should a magnetic dipole antenna be oriented to serve as a receiver?
A magnetic dipole antenna is used to detect an electromagnetic wave. The antenna is a coil of 50 turns with radius \(5.0 \mathrm{cm} .\) The EM wave has frequency \(870 \mathrm{kHz}\) electric field amplitude $0.50 \mathrm{V} / \mathrm{m},\( and magnetic field amplitude \)1.7 \times 10^{-9} \mathrm{T} .$ (a) For best results, should the axis of the coil be aligned with the electric field of the wave, or with the magnetic field, or with the direction of propagation of the wave? (b) Assuming it is aligned correctly, what is the amplitude of the induced emf in the coil? (Since the wavelength of this wave is much larger than \(5.0 \mathrm{cm},\) it can be assumed that at any instant the fields are uniform within the coil.) (c) What is the amplitude of the emf induced in an electric dipole antenna of length \(5.0 \mathrm{cm}\) aligned with the electric field of the wave?
Light of wavelength \(659.6 \mathrm{nm}\) is emitted by a star. The wavelength of this light as measured on Earth is \(661.1 \mathrm{nm} .\) How fast is the star moving with respect to Earth? Is it moving toward Earth or away from it?

To measure the speed of light, Galileo and a colleague stood on different mountains with covered lanterns. Galileo uncovered his lantern and his friend, seeing the light, uncovered his own lantern in turn. Galileo measured the elapsed time from uncovering his lantern to seeing the light signal response. The elapsed time should be the time for the light to make the round trip plus the reaction time for his colleague to respond. To determine reaction time, Galileo repeated the experiment while he and his friend were close to one another. He found the same time whether his colleague was nearby or far away and concluded that light traveled almost instantaneously. Suppose the reaction time of Galileo's colleague was \(0.25 \mathrm{s}\) and for Galileo to observe a difference, the complete round trip would have to take 0.35 s. How far apart would the two mountains have to be for Galileo to observe a finite speed of light? Is this feasible?
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