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CBSE Class 12 Physics 2013 Paper

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Question : 28 of 29
Marks: +1, -0
Describe briefly how an unpolarized light gets linearly polarized when it passes through a polaroid.
(b) Three identical polaroid sheets P1,P2P_1, P_2 and P3P_3 are oriented so that the pass axis of P2P_2 and P3P_3 are inclined at angles of 6060^{\circ} and 9090^{\circ} respectively with respect to the pass axis of P1P_1 . A monochromatic source SS of unpolarizedlight of intensity I0I_0 is kept in front of the polaroid sheet P1P_1 as shown in the figure. Determine the intensities of light as observed by the observers O1,O2O_1, O_2 and O3O_3 as shown.
OR
(a) Use Huygens geometrical construction to show how a plane wave-front at t=0t=0 propagates and produces a wave-front at a later time.
(b) Verify, using Huygens principle, Snell's law of refraction of a plane wave propagating from a denser to a rarer medium.
(c) When monochromatic light is incident on a surface separating two media, the reflected and refracted light both have the same frequency. Explain why.
Solution:  
Ans. OR
(a) mm
(b) Proof of Snell's law of refraction:
XYXY is the separation of two media.
ABAB is the incident wavefront
CDCD is the refracted wavefront.
v1v_1 is the velocity of light in denser medium.
v2v_2 is the velocity of light in rarer medium.
PAN  =i=   angle of incidence   \angle PAN\;=\angle i=\;\text{ angle of incidence }\;
  =BAC\;=\angle BAC
RCN  =r=   angle of refraction   \angle RCN''\;=\angle r=\;\text{ angle of refraction }\;
  =ACD\;=\angle ACD
In ABC\triangle ABC,
sin  i=  BCAC=  v1tAC\sin\;i=\;\frac{BC}{AC}=\;\frac{v_1 t}{AC}
In ACD\triangle ACD,
sin  i  =  ADAC=  v2tAC\sin\;i\;=\;\frac{AD}{AC}=\;\frac{v_2 t}{AC}
  sinisinr  =  v1v2\therefore\;\frac{\sin i}{\sin r}\;=\;\frac{v_1}{v_2}
Refractive index of rarer medium with respect to denser medium.
This Snell's law of refraction.
(c) Reflection and refraction occur due to the interaction of light with the atoms / molecules of the media which vibrate with the same frequency of the incident light. For this the reflected and refracted light have the same frequency as that of incident light.
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