SATHEE: Optics 4 Question 11

Optics 4 Question 11

11. An isosceles prism of angle $120^{\circ}$ has a refractive index 1.44. Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face

$(1995, 2 M)$

(a) are parallel to each other

(b) are diverging

(c) make an angle $2 [\sin^{- 1} (0.72) - 30^{\circ}]$ with each other

(d) make an angle $2 \sin^{- 1} (0.72)$ with each other

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Answer:

Correct Answer: 11. (c)

Solution:

The diagramatic representation of the given problem is shown in figure.

From figure it follows that $∠ i = ∠ A = 30^{\circ}$

From Snell’s law, $n_{1} \sin i = n_{2} \sin r$

or $\sin r = \frac{1.44 \sin 30^{\circ}}{1} = 0.72$

Now, $∠ δ = ∠ r - ∠ i = \sin^{- 1} (0.72) - 30^{\circ}$

$∴ θ = 2 (∠ δ) = 2 \sin^{- 1} (0.72) - 30^{\circ}$

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Optics 4 Question 11

11. An isosceles prism of angle 120∘ has a refractive index 1.44. Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face

Answer:

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11. An isosceles prism of angle $120^{\circ}$ has a refractive index 1.44. Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face