In the figure, a ray of light is perpendicular to the face $A B$ of a glass prism $(\mu=1.52)$ .
Find the value of $\theta$ so that the ray is totally reflected at face $A C$ , if the prism is immersed in water $(\mu=1.33)$ . Given $\sin 61^{\circ}=0.875$

Question

In the figure, a ray of light is perpendicular to the face

A B

of a glass prism

(\mu=1.52)

.

Find the value of

\theta

so that the ray is totally reflected at face

A C

, if the prism is immersed in water

(\mu=1.33)

. Given

\sin 61^{\circ}=0.875

Quantrex Academy · Accepted Answer

Correct answer: B. 30^

Given, μ_g=1.52, μ_w=1.33, θ= ? Apply Snell's law at point D , aligned & μ_g i_c=μ_w 90^ & i_c=(μ_w)/(μ_g)=(1.33)/(1.52) aligned i_c= ^ -1 ((1.33)/(1.52))=61^ From figure, θ+i_c=90^ θ=90^ -61^ =29^ 30^

In the figure, a ray of light is perpendicular to the face A B of a...

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