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Question: A right angled prism is placed on a printed page as shown in figure. observer A look through the ver...

A right angled prism is placed on a printed page as shown in figure. observer A look through the vertical face while the observer B looks through the inclined face. Identify the correct statement.

A

IA is able to see the letters on the page then B will also see the letter

B

If B is able to see the letters then A will also see letter.

C

Both can see if the prism is made of glass µ = 1.5

D

Both can see whatever the refractive index of prism is

Answer

IA is able to see the letters on the page then B will also see the letter

Explanation

Solution

A can not see if ray will go for total internal reflection at vertical face.

\ (90 – g)minmum > qc

(90 – g)min: 90 – gmax

90 – gmax > qc

90 – qc > qc

45 > qc

Sin 45 > Sin qc = µ > 2\sqrt { 2 }

A can not see if µ > 2\sqrt { 2 }

For B if he can not see then 60 – gmax > qc

60 – qc > qc

30 > qc

12\frac { 1 } { 2 } > 1μ\frac { 1 } { \mu }

µ > 2

B can not see if µ > 2