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$\sf{Refractive \: Index \: of \: water \: with \: respect \: to \: air \: is \: \sqrt{3}. }$
$\sf{A \: light \: ray \: is \: incident \: on \: the \: surface \: at \: an \: angle \: of \: 60° }$
$\sf{travelling \: through \: water. The \:angle \: of \: deviation \: of \: light \: ray \: is}$


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Answer 1

Formula of refractive index :

$\mathsf{Refractive=\frac{sini}{sinr}}$

Given info :

Angle of incidence ( i ) = 60° .

Angle of refraction ( r ) = ?

$\mathsf{\sqrt{3}=\frac{sin60^\circ}{sinr}}\\\\\mathsf{=\:>\sqrt{3}=\frac{\frac{\sqrt{3}}{2}}{sinr}}\\\\\mathsf{=\:>\sqrt{3}=\frac{\sqrt{3}}{2sinr}}\\\\\mathsf{=\:>1=\frac{1}{2sinr}}$

$\mathsf{=\:>sinr=\frac{1}{2}}\\\\\mathsf{=\:>sinr=sin30^\circ}\\\\\mathsf{=\:>r=30^\circ}$

$\textsf{Angle of deviation = angle of incidence - angle of refraction}$

$\mathsf{=\:>60^\circ-30^\circ}\\\\\mathsf{=\:>30^\circ}$

ANSWER :

$\mathsf{\huge{30^\circ}}$

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Answer 2

Hey!!

Please see the attached file!!

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