CBSE Class 12 Physics 2013 Paper

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Question : 28
Total: 29
Describe briefly how an unpolarized light gets linearly polarized when it passes through a polaroid.
(b) Three identical polaroid sheets P1,P2 and P3 are oriented so that the pass axis of P2 and P3 are inclined at angles of 60 and 90 respectively with respect to the pass axis of P1 . A monochromatic source S of unpolarizedlight of intensity I0 is kept in front of the polaroid sheet P1 as shown in the figure. Determine the intensities of light as observed by the observers O1,O2 and O3 as shown.

OR
(a) Use Huygens geometrical construction to show how a plane wave-front at t=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) m
(b) Proof of Snell's law of refraction:
XY is the separation of two media.
AB is the incident wavefront
CD is the refracted wavefront.
v1 is the velocity of light in denser medium.
v2 is the velocity of light in rarer medium.

PAN=i= angle of incidence
=BAC
RCN=r= angle of refraction
=ACD
In ABC,
sini=
BC
AC
=
v1t
AC

In ACD,
sini=
AD
AC
=
v2t
AC

sini
sinr
=
v1
v2

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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