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Cool goIITian

Joined:	12 Nov 2007
Post:	61

15 Apr 2008 22:30:44 IST

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Hemisphere with parallel rays coming on it

None

There is a transparent hemisphere of radius 3 cm made of a material of refractive index 2 .
(a) A narrow beam of parallel rays is incident on the hemisphere as shown
Are the rays totally reflected at the plane surface?

(b)Find the image formed by the refraction at the first surface
(c)Find the image formed by the reflection or by the refraction at the plane surface
(d)trace qualitatively as the rays come out of the hemisphere.

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Comments (1)

saurabh

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Joined: 15 Apr 2008

Posts: 18

16 Apr 2008 20:13:05 IST

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yes there will b total internal reflection

as sin^-1(1/2) = 30 is < 45 degrees, thre will be total int. reflection

and as the rays are incident normally they ud not deviate on refraction..

also as the rays are parallel they aftr. refraction ud also be parallel... so they wont meet to form image..

same to others reflection.... etc..

rays suffer reflection so they ud reflect wid angle of incdence = reflection angle..

and hecnce go out of sphere at angle 45 to normal

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