In the given figure, the face \(AC\) of the equilateral prism is immersed in a liquid of refractive index \(n.\) For the incident angle \(60^{\circ}\) at the side \(AC,\) the refracted light beam just grazes along the face \(AC.\) The refractive index of the liquid \(n = \dfrac{ \sqrt x} {4}.\) The value of \(x\) is:
(Given a refractive index of glass \(\mu=1.5\))
          
1. \(15\)
2. \(22\)
3. \(24\)
4. \(27\)  
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Two identical right-angled prisms are placed back to back as shown. A ray of light, incident on the first prism, making an angle \(\theta\) with its surface – passes through the system and emerges parallel to itself. The refractive index of the material of the prism is:
          
1. \(\sin\theta\)
2. \(\cos\theta\)
3. \(\tan\theta\)
4. \(\cot\theta\)
Subtopic:  Prisms |
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Find the value of the angle of emergence from the prism given below for the incidence ray shown. The refractive index of the glass is \(\sqrt{3}\).

       

1. \(45^{\circ}\)
2. \(90^{\circ}\)
3. \(60^{\circ}\)
4. \(30^{\circ}\)

Subtopic:  Prisms |
 59%
Level 3: 35%-60%
NEET - 2021
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At what angle should a ray of light be incident on the face of a prism of refracting angle \(60^{\circ}\) so that it just suffers total internal reflection at the other face?
(the refractive index of the material of the prism is \(1.524\))
1. \(29.75^\circ\)
2.\(19^\circ\)
3.\(17.23^\circ\)
4.\(19.57^\circ\)

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A graph is plotted between the angle of deviation \(\delta\) in a triangular prism and the angle of incidence as shown in the figure. Refracting angle of the prism is:

        

1. \(28^\circ~\) 2. \(48^\circ~\)
3. \(36^\circ~\) 4. \(46^\circ~\)
Subtopic:  Prisms |
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A horizontal ray of light is incident on the right-angled prism with prism angle \(6^\circ.\) If the refractive index of the material of the prism is \(1.5,\) then the angle of emergence will be:
1. \(9^\circ\) 2. \(10^\circ\)
3. \(4^\circ\) 4. \(6^\circ\)
Subtopic:  Prisms |
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NEET - 2023
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A ray of light is incident at an angle of incidence, \(i\), on one face of a prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is \(\mu\), the angle of incidence \(i\), is nearly equal to:
1. \(\mu A\)  
2. \(\dfrac{\mu A}{2}\) 
3. \(\frac{A}{\mu}\)
4. \(\frac{A}{2\mu}\)                                 

Subtopic:  Prisms |
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NEET - 2020
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A ray of light incident at an angle \(\theta\) on a refracting face of a prism emerges from the other face normally. If the angle of the prism is \(5^{\circ}\) and the prism is made of a material of refractive index \(1.5\), the angle of incidence is:
1. \(7.5^{\circ}\)
2. \(5^{\circ}\)
3. \(15^{\circ}\)
4. \(2.5^{\circ}\)
Subtopic:  Prisms |
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Level 2: 60%+
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A light ray enters through a right-angled prism at point \(P\) with the angle of incidence \(30^\circ\) as shown in the figure. It travels through the prism parallel to its base \(BC\) and emerges along the face \(AC.\) The refractive index of the prism is:
1. \({\dfrac{\sqrt5}{2}}\) 2. \({\dfrac{\sqrt3}{4}}\)
3. \({\dfrac{\sqrt3}{2}}\) 4. \({\dfrac{\sqrt5}{4}}\)
Subtopic:  Prisms |
Level 3: 35%-60%
NEET - 2024
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Two identical equilateral triangular prisms, each of which gives a minimum deviation of \(60^{\circ}\) are taken: call these prisms \(A,B\). These are placed as shown in the figure, and a ray of light is incident on prism \(A\) at minimum deviation. Now prism \(B\) is cut in half, along the dotted line, and the right half is removed. The deviation of the emerging ray is:
           
1. \(90^{\circ}\) 2. \(45^{\circ}\)
3. \(60^{\circ}\) 4. \(30^{\circ}\)
Subtopic:  Prisms |
 51%
Level 3: 35%-60%
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