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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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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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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For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index -

1. lies between 2 and $\sqrt{2}$

2. is less than 1

3. is greater than 2

4. lies between $\sqrt{2}$ and 1

Subtopic: Prisms |

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A rod of length 10 cm lies along the principal axis of concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is -

1. 15 cm

2. 2.5 cm

3. 5 cm

4. 10 cm

Subtopic: Reflection at Spherical Surface |

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A thin prism of angle 15º made of glass of refractive index ${\mathrm{\mu}}_{1}$ = 1.5 is combined with another prism of glass of refractive index ${\mathrm{\mu}}_{2}$ = 1.75. The combination of the prism produced dispersion without deviation. The angle of the second prism should be :

1. 5º

2. 7º

3. 10º

4. 12º

Subtopic: Prisms |

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A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to the lens. The focal length of the lens is :

1. 5 cm

2. -10 cm

3. 20 cm

4. -30 cm

Subtopic: Lenses |

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The speed of light in media M_{1} and M_{2} is 1.5 × 10^{8} m/s and 2.0 × 10^{8} m/s respectively. A ray of light enters from medium M_{1} to M_{2} at an incidence angle i. If the ray suffers total internal reflection, the value of i is -

1. Equal to or less than sin^{–1} $\left(\frac{3}{5}\right)$

2. Equal to or greater than sin^{–1} $\left(\frac{3}{4}\right)$

3. less than sin^{–1}$\left(\frac{2}{3}\right)$

4. Equal to sin^{–1} $\left(\frac{2}{3}\right)$

Subtopic: Total Internal Reflection |

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A ray of light is incident on a 60º prism at the minimum deviation position. The angle of refraction at the first face (i.e. incident face) of the prism is:

1. 30º

2. 45º

3. 60º

4. zero

Subtopic: Prisms |

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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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