Question

a ray incident at 15 degree on a refracting surface of a prism of angle 30 degree suffers a deviation of 55 degree. Find angle of emergence.​

Answer 1

Answer:

$\boxed{\mathfrak{Angle \ of \ emergence \ (e) = 70\degree}}$

Given:

Angle of incidence (i) = 15°

Angle of prism (A) = 30°

Angle of deviation (δ) = 55°

Explanation:

Relation between angle of incidence (i), angle of emergence (e), angle of prism (A) & angle of deviation (δ) of a prism is given as:

$\boxed{ \bold{i + e = A + \delta}}$

By substituting values we get:

$\rm \implies 15 \degree + e = 30 \degree + 55 \degree \\ \\ \rm \implies 15 \degree + e = 85 \degree \\ \\ \rm \implies e = 85 \degree - 15 \degree \\ \\ \rm \implies e = 70 \degree$