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Angle of deviation through a prism of angle 60°, when angles of incidence and emergence are 40° each is
- a)40°
- b)20°
- c)60°
- d)30°
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Angle of deviation through a prism of angle 60°, when angles of in...
A = 60°, ∠i= ∠e = 40°
As A + D = i + e
∴ 60° = D = 40° + 40° ⇒ D = 80° – 60° = 20°
As A + D = i + e
∴ 60° = D = 40° + 40° ⇒ D = 80° – 60° = 20°
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Angle of deviation through a prism of angle 60°, when angles of in...
Understanding the Angle of Deviation
The angle of deviation is a crucial concept when analyzing the behavior of light as it passes through a prism. In this problem, we have a prism with an angle of 60 degrees, and both the angle of incidence and the angle of emergence are 40 degrees.
Key Formulas
- The formula for the angle of deviation (D) is given by:
D = i + e - A
Where:
- D = Angle of deviation
- i = Angle of incidence
- e = Angle of emergence
- A = Angle of the prism
Applying the Values
Now, substituting the values into the formula:
- Angle of incidence (i) = 40 degrees
- Angle of emergence (e) = 40 degrees
- Angle of the prism (A) = 60 degrees
Calculation of Angle of Deviation
- D = 40 + 40 - 60
- D = 80 - 60
- D = 20 degrees
Conclusion
Thus, the angle of deviation through the prism is 20 degrees.
This aligns with option 'B' as the correct answer. The calculation clearly shows how the angles interact with the prism to determine the deviation of the light ray. Understanding this concept is fundamental in optics, especially in the study of prisms.
The angle of deviation is a crucial concept when analyzing the behavior of light as it passes through a prism. In this problem, we have a prism with an angle of 60 degrees, and both the angle of incidence and the angle of emergence are 40 degrees.
Key Formulas
- The formula for the angle of deviation (D) is given by:
D = i + e - A
Where:
- D = Angle of deviation
- i = Angle of incidence
- e = Angle of emergence
- A = Angle of the prism
Applying the Values
Now, substituting the values into the formula:
- Angle of incidence (i) = 40 degrees
- Angle of emergence (e) = 40 degrees
- Angle of the prism (A) = 60 degrees
Calculation of Angle of Deviation
- D = 40 + 40 - 60
- D = 80 - 60
- D = 20 degrees
Conclusion
Thus, the angle of deviation through the prism is 20 degrees.
This aligns with option 'B' as the correct answer. The calculation clearly shows how the angles interact with the prism to determine the deviation of the light ray. Understanding this concept is fundamental in optics, especially in the study of prisms.
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Angle of deviation through a prism of angle 60°, when angles of incidence and emergence are 40° each isa)40°b)20°c)60°d)30°Correct answer is option 'B'. Can you explain this answer?
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Angle of deviation through a prism of angle 60°, when angles of incidence and emergence are 40° each isa)40°b)20°c)60°d)30°Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Angle of deviation through a prism of angle 60°, when angles of incidence and emergence are 40° each isa)40°b)20°c)60°d)30°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Angle of deviation through a prism of angle 60°, when angles of incidence and emergence are 40° each isa)40°b)20°c)60°d)30°Correct answer is option 'B'. Can you explain this answer?.
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