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Chapter 27: Q11PE (page 997)
What is the wavelength of light falling on double slits separated by 2.00 碌m if the third-order maximum is at an angle of 60.0潞 ?
The wavelength of the light is.
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Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than
(a) If a single slit produces a first minimum at \({\rm{14}}{\rm{.5^\circ }}\),at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).
Using the result of the problem two problems prior, find the wavelength of light that produces fringes apart on a screen from double slits separated by (see Figure ).
Does Huygens鈥檚 principle apply to all types of waves?
The limit to the eye鈥檚 acuity is actually related to difdfraction by the pupil.
(a) What is the angle between two just-resolvable points of light for a \(3.00 - mm\)-diameter pupil, assuming an average wavelength of \(550{\rm{ }}nm\)?
(b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are \(1.30{\rm{ }}m\) apart?
(c) What is the distance between two just-resolvable points held at an arm鈥檚 length \(\left( {0.800{\rm{ }}m} \right)\) from your eye?
(d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
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