Questions
A rectangular glass slab ABCD, of-refractive index , is immersed in water of refractive index . A ray of light in incident at the surface AB of the slab as shown.
The maximum value of the angle of incidence , such that the ray comes out only from the other surface CD is given by
detailed solution
Correct option is A
Ray comes out from CD, means rays after refraction from AB get, total internally reflected at ADn1n2=sinαmaxsin r1⇒αmax=sin−1n1n2sinr1 . . . . iAlso r1+r2=90o⇒r1=90−r2=90−Cr1=90−sin−11 1μ2⇒r1=90−sin−1n2n1 . . . . iihence from equations i and iiαmax=sin−1n1n2sin90−sin−1n2n1=sin−1n1n2cossin−1n2n1Talk to our academic expert!
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A vessel is half filled with a liquid of refractive index μ. The other half of the vessel is filled with an immiscible liquid of refractive index 1.5 μ. The apparent depth of vessel is 50% of the actual depth. The value of μ is
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