Related questions with answers

Use trigonometry to find the measure of the arc cut off by a chord $12 \mathrm{~cm}$ long in a circle of radius $10 \mathrm{~cm}$ .

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Question

As an example of diffraction by apertures of everyday dimensions, consider a doorway of width $1.0 \mathrm{~m}$ . (a) Compute the angular position of the first minimum in the diffraction pattern of 600-nm light. (b) Repeat this calculation for a musical note of frequency $440 \mathrm{~Hz}$ (A above middle C). Take the speed of sound to be $343 \mathrm{~m} / \mathrm{s}$ .

Solution

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$\textbf{(a)}$ In this part we consider a single-slit diffraction pattern in which light of wavelength $\lambda = 600\mathrm{~nm}$ is used and the slit width is $D = 1.00\mathrm{~m}$ .