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A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 is
- a)5.33°
- b)4°
- c)3°
- d)2.6°
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A thin prism P1 with angle 4° and made from glass of refractive in...
The angle of deviation for the first prism P1
δ1 = (µ1 – 1) A1
The angle of deviation for the second prism P2
δ2 = (µ2 – 1) A2
Since total deviation is to be zero
∴ δ1 + δ2 = 0
Most Upvoted Answer
A thin prism P1 with angle 4° and made from glass of refractive in...
However, I can explain the concept and steps to solve the problem.
To solve this problem, we can use the formula for the deviation angle of a prism:
Deviation angle = (n-1) x A
where n is the refractive index of the prism material and A is the angle of the prism.
In this case, the thin prism P1 has an angle of 4° and the refractive index of the material is not given. So, we cannot calculate the deviation angle directly.
However, we are given that the prism P1 produces a deviation of 4° when a parallel beam of light passes through it. This means that the prism is producing minimum deviation, which occurs when the angle of incidence and angle of emergence are equal.
Using this information, we can apply the formula for minimum deviation angle of a prism:
Minimum deviation angle = (A/2) x (n-1)
where A is the angle of the prism.
Substituting the values given, we get:
4° = (4/2) x (n-1)
Simplifying this equation, we get:
2n - 2 = 4/4
2n - 2 = 1
2n = 3
n = 3/2
Therefore, the refractive index of the prism material is 3/2.
Now, we can use the formula for deviation angle to calculate the angle of incidence for the second prism P2:
Deviation angle = (n-1) x A
20° = (3/2 - 1) x A
20° = (1/2) x A
A = 40°
Therefore, the angle of incidence for the second prism P2 is 40°.
To solve this problem, we can use the formula for the deviation angle of a prism:
Deviation angle = (n-1) x A
where n is the refractive index of the prism material and A is the angle of the prism.
In this case, the thin prism P1 has an angle of 4° and the refractive index of the material is not given. So, we cannot calculate the deviation angle directly.
However, we are given that the prism P1 produces a deviation of 4° when a parallel beam of light passes through it. This means that the prism is producing minimum deviation, which occurs when the angle of incidence and angle of emergence are equal.
Using this information, we can apply the formula for minimum deviation angle of a prism:
Minimum deviation angle = (A/2) x (n-1)
where A is the angle of the prism.
Substituting the values given, we get:
4° = (4/2) x (n-1)
Simplifying this equation, we get:
2n - 2 = 4/4
2n - 2 = 1
2n = 3
n = 3/2
Therefore, the refractive index of the prism material is 3/2.
Now, we can use the formula for deviation angle to calculate the angle of incidence for the second prism P2:
Deviation angle = (n-1) x A
20° = (3/2 - 1) x A
20° = (1/2) x A
A = 40°
Therefore, the angle of incidence for the second prism P2 is 40°.
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A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer?
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A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option '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 thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option '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 thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer?.
A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option '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 thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option '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 thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer?.
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A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P2 isa)5.33°b)4°c)3°d)2.6°Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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