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CBSE Class 10 Answered

Q.  (a)  Draw a ray diagram to show the refraction of light through a glass slab and mark angle of refraction and the lateral shift suffered by the ray of light while passing through the slab. 
      (b)  If the refractive index of glass for light going from air to glass is 3/2 ,find the refractive index of air for light going from glass to air. 
Asked by pdcavita | 20 Dec, 2017, 06:01: PM
answered-by-expert Expert Answer
for a)
 
 

 
 

A t space t h e space p o i n t space o f space i n c i d e n c e space o n space s u r f a c e space A A space s n e l l apostrophe s space l a w space c a n space b e space g i v e n space a s

fraction numerator sin space i 1 over denominator sin space r 1 end fraction equals u subscript a over u subscript g

A t space t h e space p o i n t space o f space i n c i d e n c e space o n space s u r f a c e space B B space s n e l l apostrophe s space l a w space c a n space b e space g i v e n space a s

fraction numerator begin display style sin space i 2 end style over denominator begin display style sin space r 2 end style end fraction equals fraction numerator begin display style u subscript g end style over denominator begin display style u subscript a end style end fraction

i n space g l a s s space s l a b space A A space i s space p a r a l l e l space t o space B B space a n d space n o r m a l space a r e space p e r p e n d i c u l a r space h e n c e space t h e y space a l s o space a r e space p a r a l l e l

t h e r e f o r e space a n g l e space r 1 space equals space a n g l e space i 2 space a r e space e q u a l space b e c u a s e space t h e y space f o r m space a l t e r n a t e space a n g l e s

sin space r 1 equals space sin space i 2 space

f r o m space
fraction numerator begin display style sin space i 1 end style over denominator begin display style sin space r 1 end style end fraction equals fraction numerator begin display style u subscript a end style over denominator begin display style u subscript g end style end fraction

sin space i 1 space equals fraction numerator begin display style u subscript a end style over denominator begin display style u subscript g end style end fraction x space sin space r 1

f r o m space

fraction numerator begin display style sin space i 2 end style over denominator begin display style sin space r 2 end style end fraction equals fraction numerator begin display style u subscript g end style over denominator begin display style u subscript a end style end fraction space space

sin space r 2 equals space fraction numerator begin display style u subscript a end style over denominator begin display style u subscript g end style end fraction x space sin space i 2

t h e r e f o r e space space sin space i 1 equals sin space r 2

h e n c e space i n c i d e n t space r a y space a n d space e m e r g e n t space r a y space a r e space p a r a l l e l space a n d space l a t e r a l l y space s h i f t e d space a s space s h o w n space i n space t h e space d i a g r a m
for b)
 
RI of air w.r.t glass = 3/2
RI of glass w.r.t air = 1 / RI of air w.r.t glass = 2/3
Answered by Gajendra | 21 Dec, 2017, 01:30: PM
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