Question

Refractive index is 1.5 . Calculate the angle of refraction if the angle of incidence is 30

Answer 1

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Given :- }}}}$

• The refractive index is 1.5 .
• The angle of incidence is 30° .

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ To Find :- }}}}$

• The angle of refraction .

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Solution :- }}}}$

We need to find the angle of refraction . We know that , By Snell's Law , the refractive index of a medium is defined as the ratio of sine of angle of incidence to the Sine of angle of refraction. So that ,

$\sf\dashrightarrow Refractive\ Index =\dfrac{sin\ i }{sin \ r } \\\\\\\sf\dashrightarrow 1.5 =\dfrac{ sin\ 30^o }{sin \ r } \\\\\\\sf\dashrightarrow sin \ r = \dfrac{sin\ 30^o}{1.5} \\\\\\\sf\dashrightarrow sin\ r =\dfrac{ 0.5}{1.5} \\\\\\\sf\dashrightarrow sin\ r = \dfrac{ 1}{3} \\\\\\\sf\dashrightarrow r = sin^{-1}\bigg(\dfrac{1}{3}\bigg) \\\\\\\sf\dashrightarrow </p><p> \underset{\blue{\sf Required \ Angle }}{\underbrace{\boxed{\pink{\frak{ Angle_{(of\ refraction)}= 19.27^o }}}}}$

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