In the given figure, the face \(AC\) of the equilateral prism is immersed in a liquid of refractive index \(n\). For 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 = \(1.5\))
          
1. \(15\) 2. \(22\)
3. \(24\) 4. \(27\)
 
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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. \(30^{\circ}\)

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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. \(46^\circ~\)
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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. \(6^\circ\)
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From NCERT
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. \(\frac{A}{2\mu}\)                                 

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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. \(2.5^{\circ}\)
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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 |
From NCERT
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. \(30^{\circ}\)
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If the angle of the prism is \(60^\circ\) and the angle of minimum deviation is \(40^\circ,\) the angle of refraction will be:
1. \(30^\circ\)
2. \(60^\circ\)
3. \(100^\circ\)
4. \(120^\circ\)
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