menu search
brightness_auto
more_vert

(i) If the angle of incidence and angle of emergence of a light ray falling on a glass slab are i and e respectively, prove that, i = e.

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike

1 Answer

more_vert
 
verified
Best answer

In the fig SR || PQ and OM is the reflected ray Hence r1=r2

Let μ be the refractive index of the glass slab.

Then, according to Snell's law,

Then, according to Snell's law,

\(\frac{sin\,\,i}{sin\,\, r_1}\) = μ .....(i)

and

\(\frac{sin\,\,r_2}{sin\,\, e}\) = \(\frac{1}{μ}\) .... .....(ii)

But r1=r2

Putting (iii) in (i), we get

\(\frac{sin\,\,i}{sin\,\, r_2}\) = μ .....(iv)

Multiplying (ii) and (iv), we have

\(\frac{sin\,\,i}{sin\,\, r_2}\) x \(\frac{sin\,\,r_2}{sin\,\, e}\) = μ x \(\frac{1}{μ}\)

∴ \(\frac{sin\,\,i}{sin\,\, e}\) = 1

∴ i = e proved

 

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike

Related questions

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
0 answers
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer

Welcome to Brainiak.in , where you can ask questions and receive answers from other members of the community ,


Brand new Community for Engineering students for asking doubts , answering

Ask on Quesnit

3.5k questions

3.0k answers

33 comments

364 users

...