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Two identical thin plano-convex glass lenses (refractive index = 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of a refractive index of 1.7. The focal length of the combination is:

1. -20 cm

2. -25 cm

3. -50 cm

4. 50 cm

Subtopic: Lens Makers' Formula |

59%

From NCERT

NEET - 2015

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The refracting angle of a prism is \(A,\) and the refractive index of the material of the prism is \(cot \frac{A}{2}.\) The angle of minimum deviation is:

1. \(180^\circ-3A\)

2. \(180^\circ-2A\)

3. \(90^\circ-A\)

4. \(180^\circ+2A\)

2. \(180^\circ-2A\)

3. \(90^\circ-A\)

4. \(180^\circ+2A\)

Subtopic: Prisms |

80%

From NCERT

NEET - 2015

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If the focal length of the objective lens is increased then magnifying power of:

1. | microscope will increase but that of the telescope decrease. |

2. | microscope and telescope both will increase. |

3. | microscope and telescope both will decrease. |

4. | microscope will decrease but that of the telescope will increase. |

Subtopic: Simple & Compound Microscope |

70%

From NCERT

AIPMT - 2014

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The angle of a prism is \(\text{A}.\) One of its refracting surfaces is silvered. Light rays falling at an angle of incidence \(2\text{A}\) on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index \(\mu,\) of the prism, is:

1. 2sinA

2. 2cosA

3. $\frac{1}{2}$cosA

4. tanA

Subtopic: Prisms |

75%

From NCERT

AIPMT - 2014

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A plano-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices \(\mu_1\) and \(\mu_2\)_{ }and \(R\) is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is:

1. \(\frac{R}{2(\mu_1-\mu_2)}\)

2. \(\frac{R}{(\mu_1-\mu_2)}\)

3. \(\frac{2R}{(\mu_2-\mu_1)}\)

4. \(\frac{R}{2(\mu_1+\mu_2)}\)

1. \(\frac{R}{2(\mu_1-\mu_2)}\)

2. \(\frac{R}{(\mu_1-\mu_2)}\)

3. \(\frac{2R}{(\mu_2-\mu_1)}\)

4. \(\frac{R}{2(\mu_1+\mu_2)}\)

Subtopic: Lens Makers' Formula |

65%

From NCERT

AIPMT - 2013

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For a normal eye, the cornea of the eye provides a converging power of 40 D and the least converging power of the eye lens behind the cornea is 20 D. Using this information, the distance between the retina and the cornea-eye lens can be estimated to be:

1. 2.5 cm

2. 1.67 cm

3. 1.5 cm

4. 5 cm

Subtopic: Human Eye |

63%

From NCERT

AIPMT - 2013

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When a biconvex lens of glass having a refractive index of 1.47 is dipped in a liquid, it acts as a plane sheet of glass. The liquid must have a refractive index:

1. equal to that of glass.

2. less than one.

3. greater than that of glass.

4. less than that of glass.

Subtopic: Lens Makers' Formula |

78%

From NCERT

AIPMT - 2012

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A ray of light is incident at an angle of incidence, i, on one face of a prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is $\mu $, the angle of incidence i, is nearly equal to:

1. $\mu $A

2. $\frac{\mu A}{2}$

3. $A/\mu $

4. $A/2\mu $

Subtopic: Prisms |

75%

From NCERT

AIPMT - 2012

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A concave mirror of the focal length ${f}_{1}$ is placed at a distance of d from a convex lens of focal length ${f}_{2}$. A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance d must be equal to:

1. ${f}_{1}+{f}_{2}$

2. $-{f}_{1}+{f}_{2}$

3. $2{f}_{1}+{f}_{2}$

4. $-2{f}_{1}+{f}_{2}$

Subtopic: Reflection at Spherical Surface |

From NCERT

AIPMT - 2012

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The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of the lenses is:

1. 10 cm, 10 cm

2. 15 cm, 5 cm

3. 18 cm, 2 cm

4. 11 cm, 9 cm

Subtopic: Telescope |

81%

From NCERT

AIPMT - 2012

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