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Image formed by a plane mirror is:

1. | real |

2. | virtual |

3. | depends on the nature of the object |

4. | none of these |

Subtopic: Reflection at Plane Surface |

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A ray of light falls on a transparent sphere as shown in the figure. If the final ray emerges from the sphere parallel to the horizontal diameter, then calculate the refractive index of the sphere. Consider that the sphere is kept in the air.

1. $\sqrt{2}$ $$

2. $\sqrt{3}$ $$

3. $\sqrt{3/2}$ $$

4. $\sqrt{4/3}$

Subtopic: Refraction at Curved Surface |

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The length of an astronomical telescope adjusted for parallel light is 90 cm. If the magnifying power of the telescope is 17, then the focal length of eyepiece and objective are respectively:

1. | 10 cm and 80 cm |

2. | 85 cm and 5 cm |

3. | 70 cm and 20 cm |

4. | 5 cm and 85 cm |

Subtopic: Telescope |

61%

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Two identical equiconvex thin lenses each of focal lengths 20 cm, made of material of refractive index 1.5 are placed coaxially in contact as shown. Now, the space between them is filled with a liquid with a refractive index of 1.5. The equivalent power of this arrangement will be:

1. | +5 D | 2. | zero |

3. | +2.5 D | 4. | +0.5 D |

Subtopic: Lens Makers' Formula |

55%

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A ray of light incident on an equilateral prism at grazing incidence emerges from the prism at grazing emergence. The Refractive index of the prism is:

1. 1.5

2. 1.8

3. 1.33

4. 2

Subtopic: Prisms |

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Two plane mirrors, *\(A\)* and *\(B\)* are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of \(30^\circ\) at a point just inside one end of *\(A\)*. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (excluding the first one) before it emerges out is:

1. \(28\)

2. \(30\)

3. \(32\)

4. \(34\)

Subtopic: Reflection at Plane Surface |

72%

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A square of side 3 *cm * is placed at a distance of 25 *cm* from a concave mirror of focal length 10* cm.* The centre of the square is at the axis of the mirror and the plane is normal to the axis. The area enclosed by the image of the square is:

1. | \(4 \mathrm{~cm}^2 \) | 2. | \(6 \mathrm{~cm}^2 \) |

3. | \(16 \mathrm{~cm}^2 \) | 4. | \(36 \mathrm{~cm}^2 \) |

Subtopic: Reflection at Spherical Surface |

57%

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Two point light sources are 24 cm apart. Where should a convex lens of focal length 9 cm be put in between them from one source so that the images of both the sources are formed at the same place?

1. | 6 cm | 2. | 9 cm |

3. | 12 cm | 4. | 15 cm |

Subtopic: Lenses |

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A rod of glass ($\mu $ = 1.5) and of the square cross-section is bent into the shape as shown. A parallel beam of light falls on the plane flat surface *A* as shown in the figure. If *d* is the width of a side and *R* is the radius of a circular arc then for what maximum value of $\frac{d}{R}$, light entering the glass slab through surface *A* will emerge from the glass through *B?*

1. | 1.5 | 2. | 0.5 |

3. | 1.3 | 4. | None of these |

Subtopic: Total Internal Reflection |

57%

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A diverging beam of light from a point source *S* having divergence angle $\alpha $, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is *t* and the refractive index n, then the divergence angle of the emergent beam is:

1. Zero

2. $\alpha $

3. ${\mathrm{sin}}^{-1}\left(1/n\right)$

4. $2{\mathrm{sin}}^{-1}(1/n)$

Subtopic: Refraction at Plane Surface |

52%

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