SATHEE: Optics 7 Question 26

Optics 7 Question 26

27. A ray $O P$ of monochromatic light is incident on the face $A B$ of prism $A B C D$ near vertex $B$ at an incident angle of $60^{\circ}$ (see figure). If the refractive index of the material of the prism is $\sqrt{3}$ , which of the

following is (are) correct?

(a) The ray gets totally internally reflected at face $C D$

(b) The ray comes out through face $A D$

(d) The angle between the incident ray and the emergent ray is $120^{\circ}$

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Answer:

Correct Answer: 27. (a, b, c) 28. (b, c) 29. (b, d) 30. $\sqrt{\frac{ε μ}{ε_{0} μ_{0}}}$

$\begin{array}{llll} 31. \frac{25}{9} & 32 . T & 33. (7) (2) \end{array}$

$\begin{array}{lll} 35. 6 & {36.60}^{\circ} & 37. 6.06 m \end{array}$

$\begin{array}{llll} 38. \frac{μ_{3} R}{μ_{3} - μ_{1}} & 39.1 .6 & 40. (a) 4^{\circ} & (b) - {0.04}^{\circ} \end{array}$

Solution:

$\sqrt{3} = \frac{\sin 60^{\circ}}{\sin r}$

$\begin{aligned} ∴ r & = 30^{\circ} \\ θ_{C} & = \sin^{- 1} \frac{1}{\sqrt{3}} or \sin θ_{C} = \frac{1}{\sqrt{3}} \\ = 0.577 \end{aligned}$

At point $Q$ , angle of incidence inside the prism is $i = 45^{\circ}$ .

Since $\sin i = \frac{1}{\sqrt{2}}$ is greater than $\sin θ_{C} = \frac{1}{\sqrt{2}}$ , ray gets totally internally reflected at face $C D$ . Path of ray of light after point $Q$ is shown in figure.

From the figure, we can see that angle between incident ray $O P$ and emergent ray $R S$ is $90^{\circ}$ .

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Optics 7 Question 26

27. A ray $O P$ of monochromatic light is incident on the face $A B$ of prism $A B C D$ near vertex $B$ at an incident angle of $60^{\circ}$ (see figure). If the refractive index of the material of the prism is $\sqrt{3}$ , which of the

Answer:

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Optics 7 Question 26

27. A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60∘ (see figure). If the refractive index of the material of the prism is 3, which of the

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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27. A ray $O P$ of monochromatic light is incident on the face $A B$ of prism $A B C D$ near vertex $B$ at an incident angle of $60^{\circ}$ (see figure). If the refractive index of the material of the prism is $\sqrt{3}$ , which of the