Chapter 4: Problem 3
If you and a friend are on opposite sides of a hill, you can communicate with walkie-talkies but not with flashlights. Explain.
Chapter 4: Problem 3
If you and a friend are on opposite sides of a hill, you can communicate with walkie-talkies but not with flashlights. Explain.
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Get started for freeA water break at the entrance to a harbor consists of a rock barrier with a 50.0 -m-wide opening. Ocean waves of 20.0 -m wavelength approach the opening straight on. At what angles to the incident direction are the boats inside the harbor most protected against wave action?
Quasars, or quasi-stellar radio sources, are astronomical objects discovered in \(1960 .\) They are distant but strong emitters of radio waves with angular size so small, they were originally unresolved, the same as stars. The quasar \(3 \mathrm{C} 405\) is actually two discrete radio sources that subtend an angle of 82 arcsec. If this object is studied using radio emissions at a frequency of \(410 \mathrm{MHz}\), what is the minimum diameter of a radio telescope that can resolve the two sources?
Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a difraction grating having 1500 lines per centimeter.
Two slits of width \(2 \mu \mathrm{m},\) each in an opaque material, are separated by a center-to-center distance of \(6 \mu \mathrm{m}\). A monochromatic light of wavelength \(450 \mathrm{nm}\) is incident on the double- slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattem? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, \(12 \mu \mathrm{m}\), while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength \(680 \mathrm{nm}\) is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter. (a) What diameter mirror is needed to be able to see \(1.00-\mathrm{m}\) detail on a Jovian moon at a distance of \(7.50 \times 10^{8} \mathrm{km}\) from Earth? The wavelength of light averages \(600 \mathrm{nm}\). (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
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