An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces (a) Are parallel to each other

(b) Are diverging

(c) Make an angle $2{\mathrm{sin}}^{-1}\left(0.72\right)$ with each other

(d) Make an angle $2\left\{{\mathrm{sin}}^{-1}\left(0.72\right)-30°\right\}$ with each other

(d) At point A. and $\angle BAD=180°-\angle r$

In rectangle ABCD$\angle A+\angle B+\angle C+\angle D=360°$

$⇒\left(180°-r\right)+60°+\left(180°-r\right)+\theta =360°\phantom{\rule{0ex}{0ex}}⇒\theta =2\left[{\mathrm{sin}}^{-1}\left(0.72\right)-30°\right]$

Difficulty Level:

• 17%
• 15%
• 32%
• 37%
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