JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
In the given figure, the face \(AC\) of the equilateral prism is immersed in a liquid of refractive index ' \(n\) '. For incident angle \(60^{\circ}\) at the side \(AC\), the refracted light beam just grazes along face \(AC\). The refractive index of the liquid \(n =\frac{\sqrt{ x }}{4}\). The value of \(x...\) is (Given refractive index of glass \(=1.5\) )
- A \(27\)
- B \(270\)
- C \(22\)
- D \(30\)
Answer & Solution
Correct Answer
(A) \(27\)
Step-by-step Solution
Detailed explanation
Using snell's law at face \(AC\) \(1.5 \sin 60^{\circ}=n \times \sin 90^{\circ}\) \(1.5 \times \frac{\sqrt{3}}{2}=n=\frac{\sqrt{x}}{4}\) \(3 \sqrt{3}=\sqrt{x}\) \(x =27\)
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