In the diagram, a ray is passing through a broken prism, find angular deviation for the ray

Question

In the diagram, a ray is passing through a broken prism, find angular deviation for the ray (A) 105° (B) 30° (C) 60° (D) 15°

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/76b04a4e7c81297364acae4a587ef7f4-.png" /> From triangle interior angles A= 180°-60°-30° =90° i+e =A+δ 45°+60°=90+δ ∴ δ=15°

Q. In the diagram, a ray is passing through a broken prism, find angular deviation for the ray

$10 5^{\circ}$

$3 0^{\circ}$

$6 0^{\circ}$

$1 5^{\circ}$

From triangle interior angles
$A = 18 0^{\circ} - 6 0^{\circ} - 3 0^{\circ}$
$= 9 0^{\circ}$
$i + e = A + δ$
$4 5^{\circ} + 6 0^{\circ} = 90 + δ$
$∴ δ = 1 5^{\circ}$