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Correct option is A)

For T.I.R at coating

$sinc=3 n $

Appling snell's law at first surface

$sinθ=3 sin(75−c)$

for limiting condition, at $θ=60_{o}$

$sin60=3 sin(75−c)$

$23 =3 sin(75−c)$

$21 =sin(75−c)⇒sin30=sin(75−c)$

$30=75−c⇒c=45_{o}$

$3 n =2 1 ⇒n_{2}=23 =1.50$

$sinc=3 n $

Appling snell's law at first surface

$sinθ=3 sin(75−c)$

for limiting condition, at $θ=60_{o}$

$sin60=3 sin(75−c)$

$23 =3 sin(75−c)$

$21 =sin(75−c)⇒sin30=sin(75−c)$

$30=75−c⇒c=45_{o}$

$3 n =2 1 ⇒n_{2}=23 =1.50$

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