A glass prism ABC (refractive index 1.5), immersed in water (refractive index 4/3). A ray of light is incident normally on face AB . If it is totally reflected at face AC then

Question

A glass prism ABC (refractive index 1.5), immersed in water (refractive index 4/3). A ray of light is incident normally on face AB . If it is totally reflected at face AC then <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-hadbpmxyxfpgally.jpg" /> (A) sin θ ≥ (8/9) (B) sin θ ≥ (2/3) (C) sin θ = (√3/2) (D) (2/3) < sin θ < (8/9)

Tardigrade Admin · Accepted Answer

For total internal reflection at AC face sin i ≥ (μ w/ug) sin θ ≥ (4/3 × 1.5) sin θ ≥ (8/9)

Q. A glass prism ABC (refractive index 1.5), immersed in water (refractive index 4/3). A ray of light is incident normally on face $A B$ . If it is totally reflected at face $A C$ then

$s in θ \geq \frac{8}{9}$

$s in θ \geq \frac{2}{3}$

$s in θ = \frac{3}{2}$

$\frac{2}{3} < s in θ < \frac{8}{9}$

For total internal reflection at $A C$ face
$s ini \geq \frac{μ _{w}}{u _{g}}$
$s in θ \geq \frac{4}{3 \times 1.5}$
$s in θ \geq \frac{8}{9}$

Q. A glass prism ABC (refractive index 1.5), immersed in water (refractive index 4/3). A ray of light is incident normally on face AB . If it is totally reflected at face AC then

sinθ≥98​

sinθ≥32​

sinθ=23​​

32​<sinθ<98​