Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index `mu` is placed on face AC of the prism. The prism is made of glass of refractive indes `3//2` . Find the limits of `mu` for which total internal reflection takes place on the face AC. A. `mugt(3)/(4)`B. `mult(3sqrt(3))/(4)`C. `mugtsqrt(3)`D. `mult(sqrt(3))/(2)`

Light is incident normally on face AB of a prism as shown in Figure. A

1.	Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index `mu` is placed on face AC of the prism. The prism is made of glass of refractive indes `3//2` . Find the limits of `mu` for which total internal reflection takes place on the face AC. A. `mugt(3)/(4)`B. `mult(3sqrt(3))/(4)`C. `mugtsqrt(3)`D. `mult(sqrt(3))/(2)`
Answer» Correct Answer - c. Critical angle between glass and liquid face is `sintheta_(c)=(3//2)/(mu)=(3)/(2mu)` (i) Angle of incident at face AC is `60^(@)` i.e., `i=60^(@)` For total internal reflectino to take place, `i gt theta_(c)` or `sini gt sintheta_(c)` or `sin60^(@) gt (3)/(2mu)` or `(sqrt(3))/(2) gt (3r)/(2mu)` or `mu gt sqrt(3)`

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