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Correct option is A)

$∴1×sinα=n×sinβ$

at $α=45°,n=2 $

$sinβ=21 ∴β=30°$

$γ=90−(180−(90+θ+β))$

$∴$ Applying Snell's law at surface PR

$∴2 sinγ=1$

$∴sin(θ+β)=2 1 $

$∴θ+β=45°$

$∴θ+30°=45°$

$∴θ=15°$ Thus option A

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