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Chapter 14: Problem 53
Light intensity \(3.3 \mathrm{m}\) from a lightbulb is \(0.73 \mathrm{W} / \mathrm{m}^{2} .\) Find the bulb's power output, assuming it radiates equally in all directions.
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A spring of mass \(m\) and spring constant \(k\) has an unstretched length \(L_{0} .\) Find an expression for the speed of transverse waves on this spring when it's been stretched to a length \(L\)
Ultrasound used in a medical imager has frequency \(4.8 \mathrm{MHz}\) and wavelength \(0.31 \mathrm{mm}\). Find (a) the angular frequency, (b) the wave number, and (c) the wave speed.
You're a marine biologist concerned with the effect of sonic booms on plankton, and you need to estimate the altitude of a supersonic aircraft flying directly over you at 2.2 times the speed of sound. You hear its sonic boom 19 s later. Assuming a constant \(340 \mathrm{m} / \mathrm{s}\) sound speed, find the plane's altitude.
A simple harmonic wave of wavelength \(16 \mathrm{cm}\) and amplitude \(2.5 \mathrm{cm}\) is propagating along a string in the negative \(x\) -direction at \(35 \mathrm{cm} / \mathrm{s} .\) Find its (a) angular frequency and (b) wave number. (c) Write a mathematical expression describing the displacement y of this wave (in centimeters) as a function of position and time. Assume the displacement at \(x=0\) is a maximum when \(t=0\)
Consider a light wave and a sound wave with the same wavelength. Which has the higher frequency?
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