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CBSE Class 12 Physics 2018 Delhi Set 1 Paper

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Question : 15 of 26
Marks: +1, -0
(a) Show using a proper diagram how unpolarised light can be linearly polarised by reflection from a transparent glass surface.
(b) The figure shows a ray of light falling normally on the face ABA B of an equilateral glass prism having refractive index   32\; \frac{3}{2}, placed in water of refractive index   43\; \frac{4}{3}. Will this ray suffer total internal reflection on striking the face ACAC ? Justify your answer.
Solution:  
(a) Diagram
Polarisation by reflection
(b) Justification
Writing yes/no
(a) The diagram, showing polarisation by reflection is as shown.
[Here the reflected and refracted rays are at right angle to each other.]
  r=(  π2iB)\; \therefore r = \left( \; \frac{\pi}{2} - i_B \right)
  μ=(sin  iBsin  r=taniB)\; \therefore \mu = \left( \frac{\sin \; i_B}{\sin \; r} = \tan i_B \right)
Thus light gets totally polarised by reflection when it is incident at an angle iBi_B (Brewster's angle), where iB=tan1μi_B = \tan^{-1} \mu
(b) The angle of incidence, of the ray, on striking the face ACAC is i=60i = 60^{\circ} (as from figure)
Also, relative refractive index of glass, with respect to the surrounding water, is
μr=  3243=  98\therefore \mu_r = \frac{\; \frac{3}{2}}{\frac{4}{3}} = \; \frac{9}{8}
Also sini=sin60=32=1.7322=0.866\sin i = \sin 60^{\circ} = \frac{\sqrt{3}}{2} = \frac{1.732}{2} = 0.866
For total internal reflection, the required critical angle, in this case, is given by
  sinic=1μ=89089\; \sin i_c = \frac{1}{\mu} = \frac{8}{9} \simeq 0-89
    i<ic\therefore \; \; i < i_c
Hence the ray would not suffer total internal reflection on striking the face ACAC
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