Q. No.The angle of a prism is \(A\) and one of its refracting surfaces is silvered. Light rays falling at an angle of incidence \(2A\) on the first surface return through the same path after suffering reflection at the second (silvered) surface. The refractive index of the material is:
1. \(2\sin{A}\)
2. \(2\cos{A}\)
3. \(\frac{1}{2}\cos{A}\)
4. \(\tan{A}\)
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The condition of minimum deviation is achieved in an equilateral prism kept on the prism table of a spectrometer. If the angle of incidence is \(50^{\circ}\), the angle of deviation is:
1. \(25^{\circ}\)
2. \(40^{\circ}\)
3. \(50^{\circ}\)
4. \(60^{\circ}\)
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A ray of light falls on a prism \(ABC\) \((AB= BC)\) and travels as shown in figure. The refractive index of the prism material should be greater than:
| 1. | \(4 /{3}\) | 2. | \( \sqrt{2}\) |
| 3. | \(1.5\) | 4. | \( \sqrt{3}\) |
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The refractive index of the material of a prism is and its refracting angle is \(30^{\circ}\). One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face will retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is:
| 1. | \(60^{\circ}\) | 2. | \(0^{\circ}\) |
| 3. | \(30^{\circ}\) | 4. | \(45^{\circ}\) |
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A ray of light is incident on an equilateral glass prism placed on a horizontal table as shown. For minimum deviation, a true statement is:
| 1. | \(PQ\) is horizontal |
| 2. | \(QR\) is horizontal |
| 3. | \(RS\) is horizontal |
| 4. | Either \(PQ\) or \(RS\) is horizontal |
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The angle of minimum deviation for a glass prism of refractive index \(\mu = \sqrt{3}\) equals the refracting angle of the prism. The angle of the prism is:
1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(90^{\circ}\)
4. \(45^{\circ}\)
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The refracting angle of a prism is \(A\), and refractive index of the material of the prism is \(\cot{\left(\frac{A}{2}\right)}\). The angle of minimum deviation is:
1. \(180^{\circ}-3A\)
2. \(180^{\circ}-2A\)
3. \(90^{\circ}-A\)
4. \(180^{\circ}+2A\)
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| 1. | \(45^{0},~\sqrt{2}\) | 2. | \(30^{0},~\sqrt{2}\) |
| 3. | \(30^{0},~\frac{1}{\sqrt{2}}\) | 4. | \(45^{0},~\frac{1}{\sqrt{2}}\) |
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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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If a light ray is incident normally on face \(AB\) of a prism, then for no emergent ray from second face \(AC\):
\([\mu \rightarrow\) refractive index of glass of prism]
| 1. | \(\mu=\frac{2}{\sqrt{3}}\) | 2. | \(\mu>\frac{2}{\sqrt{3}}\) |
| 3. | \(\mu<\frac{2}{\sqrt{3}}\) | 4. | \(\mu\) can have any value. |
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