The refractive index of the material of a prism is $\sqrt{2}$and the angle of the prism is 30°. One of the two refracting surfaces of the prism is made a mirror inwards with a silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if the angle of incidence on the prism is:

^{o}

2. 45^{o}

3. 30^{o}

4. zero

Subtopic: Prisms |

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An object is placed at a distance of 40 cm from a concave mirror of a focal length of 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be:

1. 30 cm away from the mirror

2. 36 cm away from the mirror

3. 30 cm towards the mirror

4. 36 cm towards the mirror

Subtopic: Reflection at Spherical Surface |

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An astronomical refracting telescope will have large angular magnification and high angular resolution when it has an objective lens of:-

1. small focal length and large diameter

2. large focal length and small diameter

3. large focal length and large diameter

4. small focal length and small diameter

Subtopic: Telescope |

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A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle $\theta $, the spot of light is found to move through a distance y on the scale. The angle $\theta $ is given by

(1) $\frac{y}{2x}$

(2) $\frac{y}{x}$

(3) $\frac{x}{2y}$

(4) $\frac{x}{y}$

Subtopic: Reflection at Plane Surface |

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A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle $\theta $, the spot of the light is found to move through a distance y on the scale. The angle $\theta $ is given by:

1. $\frac{y}{x}$

2. $\frac{x}{2y}$

3. $\frac{x}{y}$

4. $\frac{y}{2x}$

Subtopic: Reflection at Plane Surface |

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A thin prism having refracting angle 10^{0} is made of glass of refractive index 1.42. This prism is combined with another thin prism of a glass of refractive index 1.7. This combination produces dispersion without deviation. The refracting angle of the second prism should be:

1. 6^{0}

2. 8^{0}

3. 10^{0}

4. 4^{0}

Subtopic: Prisms |

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Two identical glass $\left({\mu}_{g}=3/2\right)$ equi-convex lenses of focal length $f$ each are kept in contact. The space between the two lenses is filled with water $\left({\mu}_{w}=4/3\right)$. The focal length of the combination is

(a) $f/3$ (b) $f$

(c) $\frac{4f}{3}$ (d) $\frac{3f}{4}$

Subtopic: Lenses |

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An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is

(1) 8

(2) 10

(3) 12

(4) 16

Subtopic: Refraction at Plane Surface |

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An astronomical telescope has an objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance of :

(1) 46.0 cm

(2) 50.0 cm

(3) 54.0 cm

(4) 37.3 cm

Subtopic: Telescope |

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Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]

Column 1 Column 2

A. m=-2 a. Convex mirror

B. m=-1/2 b. Concave mirror

C. m=+2 c. Real image

D. m=+1/2 d. Virtual Image

(1)A->a and c;B->a and d; C->a and b; D->c and d

(2)A->a and d; B->b and c; C->b and d; D-> b and c

(3)A->c and d; B->b and d;C->b and c;D->a and d

(4)A->b and c; B->b and c; C->b and d; D->a and d

Subtopic: Reflection at Spherical Surface |

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