1.

One face of a prism with a refracting angle of 30^@ is coated with silver. A ray incident on another face at an angle of 45^@ is refracted and reflected from the silver coated face and retraces its path. What is the refractive index of the prism?

Answer»

Solution :GIVEN`A=30^@, i_1= 45^@and r_2=0`
SINCE ` , r_1+r_2= A`
` thereforer_1=A =30 ^@`
Now refractive index of the PRISM,
`mu = ( SIN i_1)/( sin r_1) = ( sin45^@ )/(sin 30^@) = ((1)/(sqrt2))/(1/2) = sqrt(2)`


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