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Chapter 31: Problem 31
The wavelength range for visible light is \(400 \mathrm{nm}\) to \(700 \mathrm{nm}\) (see Figure 31.10 ) in air. What is the frequency range of visible light?
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Electromagnetic waves from a small, isotropic source are not plane waves, which have constant maximum amplitudes. a) How does the maximum amplitude of the electric field of radiation from a small, isotropic source vary with distance from the source? b) Compare this with the electrostatic field of a point charge.
A wire of radius \(1.0 \mathrm{~mm}\) carries a current of 20.0 A. The wire is connected to a parallel plate capacitor with circular plates of radius \(R=4.0 \mathrm{~cm}\) and a separation between the plates of \(s=2.0 \mathrm{~mm} .\) What is the magnitude of the magnetic field due to the changing electric field at a point that is a radial distance of \(r=1.0 \mathrm{~cm}\) from the center of the parallel plates? Neglect edge effects.
What is the radiation pressure due to Betelgeuse (which has a luminosity, or power output, 10,000 times that of the Sun) at a distance equal to that of Uranus's orbit from it?
A tiny particle of density \(2000 . \mathrm{kg} / \mathrm{m}^{3}\) is at the same distance from the Sun as the Earth is \(\left(1.50 \cdot 10^{11} \mathrm{~m}\right)\). Assume that the particle is spherical and perfectly reflecting. What would its radius have to be for the outward radiation pressure on it to be \(1.00 \%\) of the inward gravitational attraction of the Sun? (Take the Sun's mass to be \(\left.2.00 \cdot 10^{30} \mathrm{~kg} .\right)\)
A solar sail is a giant circle (with a radius \(R=10.0 \mathrm{~km}\) ) made of a material that is perfectly reflecting on one side and totally absorbing on the other side. In deep space, away from other sources of light, the cosmic microwave background will provide the primary source of radiation incident on the sail. Assuming that this radiation is that of an ideal black body at \(T=2.725 \mathrm{~K},\) calculate the net force on the sail due to its reflection and absorption.
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