In the given figure, the face AC of the equilateral prism is immersed in a liquid of refractive index ‘n‘. For incident angle 60° at the side AC the refracted light beam just grazes along face AC. The refractive index of the liquid n = \((\sqrt x)/4\). The value of \(x\) is _______.(Given refractive index of glass = \(1.5\))
Correct Answer: 27
Solution and Explanation
\(1.5 \;sin60° = 4 \;sin90°\)
\(1.5×\frac{\sqrt3}{2}\)
=\(\frac{3\sqrt3}{4}\)
=\(\frac{\sqrt{27}}{4}\)
=\(\frac{x}{4}\)
\(x = 27\)
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Concepts Used:
Reflection of Light
When a light ray falls on any object, it is bounced back from the object. This process is known as the Reflection of light. The light reflected from the object falls into our eyes, making the object visible to us. All the things we see around us are because of reflection.
The reflection of light depends on the type of object. A polished or smooth surface reflects most of the light falling on it, while a rough surface absorbs some amount of light and reflects back the rest of the light. The direction of reflected rays depends upon the surface of the object.