Question

Find the value of the angle of emergence from the prism. Refractive index of the glass is √3​

Answer 1

Given:

The Refractive index of the glass is √3​

Find:

Find the value of the angle of emergence from the prism.

Solution:

Check the Attachment

$r_{1} + r_{2}= A = 30\°$

$r_{2} = 30\° ( r_{1} = 0\°)$

From Snell's law,

$\sqrt{3} sinr2 = 1 * sine$

$\sqrt{3} sin30\° = sine$

$e = 60\°$

Hence, we get the value of the angle of emergence from the prism $e = 60\°$

Answer 2

From the given question the correct answer is :

the angle of emergence from the prism is 60°

Given:

Refractive index of the glass is √3​

ng=√3

To find:

he angle of emergence from the prism

Solution:

Refrective index of a glass ng =√3

sin i = 0

According to shell's law

$\frac{sin i}{ sin r} =\frac{ng}{na}$

but sin i=sin 0= 0

thus sin r = 0

applying snell's law

sin 30°/sin e =na/ng=1/√3

sin e=√3×sin30=√3/21

Hence, e=60 °

the angle of emergence from the prism is 60°