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Chapter 14: Problem 2
Red light has a longer wavelength than blue light. Compare their frequencies.
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Ultrasound used in a medical imager has frequency \(4.86 \mathrm{MHz}\) and wavelength \(0.313 \mathrm{~mm}\). Find (a) the angular frequency, (b) the wave number, and (c) the wave speed.
If you double the pressure of a gas while keeping its density the same, what happens to the sound speed?
Medical ultrasound waves travel at about \(1500 \mathrm{~m} / \mathrm{s}\) in soft tissue. Higher frequencies provide clearer images but don't penetrate to deeper organs. Find the wavelengths of (a) \(8.0-\mathrm{MHz}\) ultrasound used in fetal imaging and (b) \(3.5-\mathrm{MHz}\) ultrasound used to image an adult's kidneys.
The speed of sound in water is \(1480 \mathrm{~m} / \mathrm{s}\). (a) Find the wavelength of sound waves emitted by a blue whale vocalizing at a frequency of \(14.5 \mathrm{~Hz}\). (b) How does this compare with the wavelength in air of sound with the same frequency, as-
A star is orbiting the galactic center, and at a point in its orbit when it's heading in the direction toward Earth, it's moving at \(64.8 \mathrm{~km} / \mathrm{s}\). An astronomer observes a spectral line emitted by hydrogen atoms in the star's atmosphere; the wavelength relative to the emitting atoms is \(656.28 \mathrm{~nm}\). By how much will the astronomer observe this wavelength to be shifted?
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