during refraction of light through the glass slab incident ray and emergent Ray are parallel to each other explain
Answers
during refraction of light through a glass slab incident ray and emergent ray are parallel to each other. the distance of displacement is known as lateral displacement.
let us consider a glass slab of abcd
a ray RP travelling through air be incident on the ab at point P. after refraction, it moves along PQ within the slab. On reaching the lower surface dc, it gets refracted again as it re enters to air
If refractive index of the glass slab is n, then
sin i/sin r=n (applying Snell's law at interface ab)
sin i=n sin r ......(i)
for the surface cd, PQ is the incident ray and QS is the refracted ray. Normals to ab and cd are parallel as ab II cd.
therefore, PQ makes angle r with normal at Q i.e., angle of incidence at Q =r. let the angle of refraction be r'
here, glass is the first medium and air is the second medium
therefore, sin r/sin r'=1/n .........(ii)
or, sini= sin r'
therefore, i = r'
=> the ray QS is parallel to the ray RP
when a light ray passes through a transparent slab with parallel faces, the ray is displaced parallel to it self
hope it helps you ...sorry for the long content