(Ill) A light ray is incident on a flat piece of glass withindex of refraction n as in Fig. 32-24. Show that if theincident angle 0 is small, the emerging ray is displaced adistance d = td(n 1 )/n, where t is the thickness of theglass, 0 is in radians, and d is the perpendicular distancebetween the incident ray and the (dashed) line of theemerging ray (Fig. 32-24).

Modern Physics Lecture 1: Foundations and Special Relativity Position, Time, and Rotation are all continuous symmetries (discrete symmetries such as reflection do not produce the same results as below): Invariance in position (changing where in space you perform your experiment) proves momentum conservation Invariance in rotation (eg. rotating your entire experiment by 90 degrees) proves conservation of angular momentum Invariance in time (changing when in time you perform your experiment, eg. today vs. tomorrow) proves energy conservation Newtonian Mechanics: Inertia F=ma The force of object 1 on object 2 is equal in magnitude to the force of object 2 on object 1 True in an inertial reference frame