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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 following is (are) correct?
  • a)
    The ray gets totally internally reflected at face CD
  • b)
    The ray comes out through face AD
  • c)
    The angle between the incident ray and the emergent ray is 90°
  • d)
    The angle between the incident ray and the emergent ray is 120°
Correct answer is option 'A,B,C'. Can you explain this answer?
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A ray OP of monochromatic light is incident on the face AB of prism AB...
Applying Snell’s law at P
n1 sin 60° = n2 sinθ
In quadrilateral BCQP,
60° + (90° + 30°) + 135° + ∠PQC = 360°
⇒ ∠PQC = 45° ⇒  i = 45°
The critical angle for prism - air pair of media is  which is less than 45°.
Therefore total internal reflection takes place at face CD.
option (a) is correct.
In ΔQDM, ∠QMD = 180° – (45° + 75°) = 60°
Therefore the angle of incidence of ray QM on AD is 30°.
This angle is less than the critical angle. Therefore the ray emerges out of face AD.
Option (b) is correct.
Applying Snell’s law at M, we get
In quadrilateral PQMN, ∠PNM = 360° – [60° + 90° +120°] = 90°
∴ The angle between the incident ray and the emergent ray is 90°
Option (c) is correct.
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A ray OP of monochromatic light is incident on the face AB of prism AB...
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A ray OP of monochromatic light is incident on the face AB of prism AB...
Applying Snell’s law at P
n1 sin 60° = n2 sinθ
In quadrilateral BCQP,
60° + (90° + 30°) + 135° + ∠PQC = 360°
⇒ ∠PQC = 45° ⇒  i = 45°
The critical angle for prism - air pair of media is  which is less than 45°.
Therefore total internal reflection takes place at face CD.
option (a) is correct.
In ΔQDM, ∠QMD = 180° – (45° + 75°) = 60°
Therefore the angle of incidence of ray QM on AD is 30°.
This angle is less than the critical angle. Therefore the ray emerges out of face AD.
Option (b) is correct.
Applying Snell’s law at M, we get
In quadrilateral PQMN, ∠PNM = 360° – [60° + 90° +120°] = 90°
∴ The angle between the incident ray and the emergent ray is 90°
Option (c) is correct.
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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 following is (are) correct?a)The ray gets totally internally reflected at face CDb)The ray comes out through face ADc)The angle between the incident ray and the emergent ray is 90°d)The angle between the incident ray and the emergent ray is 120°Correct answer is option 'A,B,C'. Can you explain this answer?
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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 following is (are) correct?a)The ray gets totally internally reflected at face CDb)The ray comes out through face ADc)The angle between the incident ray and the emergent ray is 90°d)The angle between the incident ray and the emergent ray is 120°Correct answer is option 'A,B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 following is (are) correct?a)The ray gets totally internally reflected at face CDb)The ray comes out through face ADc)The angle between the incident ray and the emergent ray is 90°d)The angle between the incident ray and the emergent ray is 120°Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 following is (are) correct?a)The ray gets totally internally reflected at face CDb)The ray comes out through face ADc)The angle between the incident ray and the emergent ray is 90°d)The angle between the incident ray and the emergent ray is 120°Correct answer is option 'A,B,C'. Can you explain this answer?.
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