Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is μ , a ray, incident at an angle θ , on the face AB would get transmitted through the face AC of the prism provided:

Step-by-step solution

Central Idea: The ray will get transmitted through face A C if i A C < i C Consider the ray diagram is shown below. A ray of light incident on face A B at an angle θ r 1 = Angle of refraction on face A B r 2 = Angle of incidence at face A C For transmission of light through face A C i A C < i C or A - r 1 < i C or sin A - r 1 < sin i C or sin A - r 1 < 1 μ A - r 1 < sin - 1 1 μ or sin r 1 > sin A - sin - 1 1 μ Now, applying Snell's law at the face A B 1 × sin