A prism of angle $75^{\circ}$ and refractive index $\sqrt{3}$ is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be
$\_\_\_\_$ . $\left(\sin 15^{\circ}=0.25\right.$ and $\sin 25^{\circ}=0.43$ )
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