. Light, a textbook for students who have had one year of physics. ediction hasbeen apparently verified by observations during a recent solareclipse. The complete theory involves fundamental changes inour idea of time and space, and is very metaphysical andmathematical, as well as physical. Problems. 1. Show that, in the circular fringes produced by uniformfilms, a ring of small angular diameter corresponds to interfer-ence of a high order, that is, a high value of N. Find thehighest order of interference for a film of glass, index ,1 10 mm. thick, for light of A .00005 cm. 2. What would b
. Light, a textbook for students who have had one year of physics. ediction hasbeen apparently verified by observations during a recent solareclipse. The complete theory involves fundamental changes inour idea of time and space, and is very metaphysical andmathematical, as well as physical. Problems. 1. Show that, in the circular fringes produced by uniformfilms, a ring of small angular diameter corresponds to interfer-ence of a high order, that is, a high value of N. Find thehighest order of interference for a film of glass, index ,1 10 mm. thick, for light of A .00005 cm. 2. What would be the effect upon the fringes seen in theMichelson interferometer, of inserting a very thin slip of glassinto one of the arms, say between CD and EF of figure 83 ? 3. Show that, in the phenomenon of Newtons rings, theradii of successive dark rings are approximately proportionalto the square-roots of the successive integers, assuming that thethickness of the film alone determines the interference. 4. Prove the statement in paragraph 83, that D = 180° +2i — CHAPTER X. 86. Simple harmonic motion.—87. Velocity in S. H. M.—88. Accel-eration in S. H. M.—89. Energy in S. H. M— 90. Two parallel S. —91. Application to cases of interference.—92. Two S. H. atright-angles.—93. Lissajous figures. 86. Simple harmonic motion.—In all wave phenomena, weare much concerned with a particular kind of vibratory motionknown as1 simple harmonic motion, and this name will occurso frequently in this chapter that we shall at the outset adoptfor it the abbreviation S. H. M. Its definition is as follows: The motion of a body P, figure 89,is simple harmonic along a line MN whenit moves so that if a body 0 be imaginedtravelling at a uniform rate in a circlewith NM as diameter, P keeps always ;nthe foot of a perpendicular drawn from0 to MN. The time in which 0 com-pletes the circuit, which is the same asthe time in which P passes from M to N Figure 89 and back again, is calle
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