Chapter 27: Q1CQ (page 994)
What type of experimental evidence indicates that light is a wave?
We discover the nature of light with the help of phenomena of diffraction and interference.
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An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles of,andwhen projected on a diffraction grating havinglines per centimeter? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.
Find the largest wavelength of light falling on double slits separated by 1.20 µm for which there is a first-order maximum. Is this in the visible part of the spectrum?
What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light?
(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).
(a) How wide is a single slit that produces its first minimum for \({\rm{633 - nm}}\)light at an angle of \({\rm{28}}{\rm{.0}}^\circ \)? (b) At what angle will the second minimum be?
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