JEE Main 2022 · 26 Jul · Shift 2 · Physics Q53

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PhysicsInteger+4 / -1Question 53 of 90

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 $n=\dfrac{\sqrt x}4$ . The value of $x$ is ______.

(Given refractive index of glass = 1.5)

$Equilateral glass prism ABC (μ = 1.5) with face AC in contact with a liquid of index n; a ray inside the prism meets AC at 60° to the normal and the refracted ray grazes along AC.$

Your answer

Answer and worked solution

Official answer: 27

Grazing emergence along AC: $1.5\sin60^\circ=n\sin90^\circ$ , so $n=\frac{3\sqrt3}4=\frac{\sqrt{27}}4$ .

Answer: 27

Topics:Prism and dispersion Total internal reflection

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JEE Main 2022 · 26 Jul · Shift 2, Physics question 53