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A prism of a certain angle deviates the red and blue rays by 8°and 12° respectively. Another prism of the same angle deviates the red and blue rays by 10° and 14° respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratio
  • a)
     11 : 9
  • b)
     6 : 5
  • c)
     9 : 11
  • d)
     5 : 6
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A prism of a certain angle deviates the red and blue rays by 8°and...
Degrees and 14 degrees, respectively. This means that the angle of the prism is such that it separates the red and blue light rays by 6 degrees.

To calculate the angle of the prism, we can use the formula:

deviation angle = (n-1) × A

where n is the refractive index of the prism and A is the angle of the prism.

Let's assume that the prism is made of glass, which has a refractive index of 1.5. We can rearrange the formula to solve for A:

A = deviation angle / (n-1)

For the red light ray, the deviation angle is 8 degrees and n is 1.5, so:

A = 8 / (1.5 - 1) = 32 degrees

For the blue light ray, the deviation angle is 14 degrees and n is 1.5, so:

A = 14 / (1.5 - 1) = 56 degrees

Since the prism separates the red and blue rays by 6 degrees, we can calculate the angle of the prism as the average of the angles for the two colors:

A = (32 + 56) / 2 = 44 degrees

Therefore, the angle of the prism is 44 degrees.
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6:5
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Paragraph for Questions 13 and 14Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurringmaterial, then by Snell’s law, it is understood that the refracted ray bends towards the normal.But it never emerges on the same side of the normal as the incident ray. According to electromagnetism,the refractive index of the medium is given by the relation, where c is the speed ofelectromagnetic waves in vacuum, v its speed in the medium, εr and μr are the relative permittivity andpermeability of the medium respectively.In normal materials, both εr and μr, are positive, implying positive n for the medium. When both εr and μrare negative, one must choose the negative root of n. Such negative refractive index materials can nowbe artificially prepared and are called meta-materials. They exhibit significantly different optical behavior,without violating any physical laws. Since n is negative, it results in a change in the direction ofpropagation of the refracted light. However, similar to normal materials, the frequency of light remainsunchanged upon refraction even in meta-materials.Q.Choose the correct statement.

Paragraph for Questions 13 and 14Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurringmaterial, then by Snell’s law, it is understood that the refracted ray bends towards the normal.But it never emerges on the same side of the normal as the incident ray. According to electromagnetism,the refractive index of the medium is given by the relation, where c is the speed ofelectromagnetic waves in vacuum, v its speed in the medium, εr and μr are the relative permittivity andpermeability of the medium respectively.In normal materials, both εr and μr, are positive, implying positive n for the medium. When both εr and μrare negative, one must choose the negative root of n. Such negative refractive index materials can nowbe artificially prepared and are called meta-materials. They exhibit significantly different optical behavior,without violating any physical laws. Since n is negative, it results in a change in the direction ofpropagation of the refracted light. However, similar to normal materials, the frequency of light remainsunchanged upon refraction even in meta-materials.Q.For light incident from air on a meta-material, the appropriate ray diagram is

Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell’slaw,it is understood that the refracted ray bends towards the normal. But it never emerges on the same side of the normal as the incident ray. According to electromagnetism, the refractive index of the medium is given by the relation,n= c /where c is the speed of electromagnetic waves in vacuum, v its speed in the medium, εr and μr are the relative permittivity and permeability of the medium respectively.In normal materials, both εr and μr , are positive, implying positive n for the medium. When both εr and μr are negative, one must choose the negative root of n. Such negative refractive index materials can now be artificially prepared and are called metamaterials. They exhibit significantly different optical behavior, without violating any physical laws. Since n is negative, it results in a change in the direction of propagation of the refracted light.However, similar to normal materials, the frequency of light remains unchanged upon refraction even in meta-materials. Q.Choose the correct statement.

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A prism of a certain angle deviates the red and blue rays by 8°and 12°respectively. Another prism of the same angle deviates the red and blue rays by 10°and 14°respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratioa)11 : 9b)6 : 5c)9 : 11d)5 : 6Correct answer is option 'B'. Can you explain this answer?
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A prism of a certain angle deviates the red and blue rays by 8°and 12°respectively. Another prism of the same angle deviates the red and blue rays by 10°and 14°respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratioa)11 : 9b)6 : 5c)9 : 11d)5 : 6Correct answer is option 'B'. 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 prism of a certain angle deviates the red and blue rays by 8°and 12°respectively. Another prism of the same angle deviates the red and blue rays by 10°and 14°respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratioa)11 : 9b)6 : 5c)9 : 11d)5 : 6Correct answer is option 'B'. 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 prism of a certain angle deviates the red and blue rays by 8°and 12°respectively. Another prism of the same angle deviates the red and blue rays by 10°and 14°respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratioa)11 : 9b)6 : 5c)9 : 11d)5 : 6Correct answer is option 'B'. Can you explain this answer?.
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