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. $45\xb0$

2. $90\xb0$

3. $60\xb0$

4. $30\xb0$

Subtopic: Refraction at Plane Surface |

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A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:

1. a large aperture contributes to the quality

and visibility of the images.

2. a large area of the objective ensures better

light-gathering power.

3. a large aperture provides

a better resolution.

4. all of the above.

Subtopic: Lenses |

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A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40 cm from it, the final image would be formed at a distance of:

1. 30 cm from the plane mirror, it would be a

virtual image.

2. 20 cm from the plane mirror, it would be a

virtual image.

3. 20 cm from the lens, it would be a real image.

4. 30 cm from the lens, it would be a real image.

Subtopic: Lenses |

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The power of a biconvex lens is 10 dioptre and the radius of curvature of each surface is 10 cm. The refractive index of the material of the lens is:

1. $\frac{4}{3}$

2. $\frac{9}{8}$

3. $\frac{5}{3}$

4. $\frac{3}{2}$

Subtopic: Lenses |

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If the critical angle for total internal reflection from a medium to vacuum is $45\xb0$, the velocity of light in the medium is:

1. \(1.5\times10^{8}\) m/s

2. \(\frac{3}{\sqrt{2}}\times10^{8}\) m/s

3. \(\sqrt{2}\times10^{8}\) m/s

4. \(3\times10^{8}\) m/s

Subtopic: Total Internal Reflection |

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An object is placed on the principal axis of a concave mirror at a distance of 1.5f ( f is the focal length). The image will be at:

1. -3f

2. 1.5f

3. -1.5f

4. 3f

Subtopic: Reflection at Spherical Surface |

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A plane-convex lens of unknown material and unknown focal length is given. With the help of a spherometer, we can measure the,

1. | focal length of the lens. |

2. | radius of curvature of the curved surface. |

3. | aperture of the lens. |

4. | refractive index of the material. |

Subtopic: Lenses |

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A biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is:

1. infinity

2. +2 D

3. +20 D

4. +5 D

1. infinity

2. +2 D

3. +20 D

4. +5 D

Subtopic: Lenses |

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A light ray falls on a glass surface of refractive index \(\sqrt{3}\), at an angle of 60°. The angle between the refracted and reflected rays would be:

1. 120°

2. 30°

3. 60°

4. 90°

1. 120°

2. 30°

3. 60°

4. 90°

Subtopic: Refraction at Plane Surface |

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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 × 10^{8} m/s and 2.0 × 10^{8} m/s, respectively. The critical angle for a ray of light for these two media is:

1. tan^{-1} (0.750)

2. sin^{-1} (0.500)

3. sin^{-1} (0.750)

4. tan^{-1} (0.500)

1. tan

2. sin

3. sin

4. tan

Subtopic: Total Internal Reflection |

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