Home
Class 12
PHYSICS
A converging set of ray, traveling from ...

A converging set of ray, traveling from water to air, is incident on a plane interface. In the absence of the interface, the rays would have converged to a point O, 60 cm above the interface. However, dur to refraction the rays will bend. At what distance above the interface will the rays actually converge?

Text Solution

Verified by Experts

A ray of light now travels through water, across the interface through air and converges to form an image at I. Here, medium 1 is water and medium 2 is air.
`d_(1)=+60cm, mu_(1)=(4)/(3), mu_(2)=1`
As `(mu_(1))/(d_(1))=(mu_(2))/(d_(2)) ` or `d_(2)=(mu_(2))/(mu_(1))d_(1)`, we get
Thus, the i mage is formed 45 cm above the interface.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.4|12 Videos
  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.5|22 Videos
  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.2|20 Videos
  • ELECTRON,PHONTS,PHOTOELECTRIC EFFECT & X-RAYS

    CENGAGE PHYSICS ENGLISH|Exercise dpp 3.3|15 Videos
  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

Similar Questions

Explore conceptually related problems

A converging bundle of rays travel from water (refractive index 4//3 ) to glass (refractive index 1.5) through a convex interface of radius 16cm. In the absence of the interface, The rays would have converged to a point 32 cm from the pole of the interface. Where will the rays actually meet after refraction?

In the given figure rasy incident on an interface would converge 10cm below the interface if they continues to move in straight lines without bending. But due to refraction, the rays will bend and meet some where else. Find the distance of meeting point of refracted rasy below the interface, assuming the rays to be making small angles with the normal to the interface.

A convergent beam is incident on two slabs placed in contact as shown in fig. Finally the rays are converge at a distance (from left face of slab A is )

What is the angle of incidence when incident Ray is normal to the interface between the 2 media?

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. If the lens is removed, the point where the rays meet, move 5 cm closer to the mounting that holds the lens. Find the focal length of the lens.

A converging beam of rays is incident on a diverging thin lens. Having passed through the lens the rays intersect at a point 15cm from the lens. If lens is removed the point where the rays meet will move 5cm closer towards the mounting that holds the lens. The focal length of lens is

The diagram below shows a light ray striking and reflecting from a plane mirror AO is the incident ray and OB the reflected ray. The angle between the incident ray and the reflected ray is 120^@ . If the image of an object is formed 5 cm behind the mirror, what is the distance between the image and the object?

A converging bundle of rays is intercepted by a biconcave lens. The radii of curvature of both surfaces are 20cm and the refractive index of the material of the lens is 1.5. If the rays originially converged to a point 10cm in front of the lens, where will they now converge after passing through the lens?

A light ray travelling in glass medium is incident of glass- air interface at an angle of incidence theta . The reflected (R ) and transmitted (T) intensities, both as function of theta , are plotted The correct sketch is

A point source of light S is placed on the major optical axis of the concave mirror at a distance of 60 cm. At what distance from the concave mirror should a flat mirror be placed for the rays to converge again at the point S having been reflected from the concave mirror and then from the flat one? Will the position of the point where the rays meet change if they are first reflected from the flat mirror? The radius of the concave mirror is 80 cm.

CENGAGE PHYSICS ENGLISH-GEOMETRICAL OPTICS-Exercise1.3
  1. A beam of width t incident at 45^@ on an air-water boundary. The width...

    Text Solution

    |

  2. A fish is vertically below a flying bird moving vertically down toward...

    Text Solution

    |

  3. A converging set of ray, traveling from water to air, is incident on a...

    Text Solution

    |

  4. A tank contains three layers of immiscible liquids. The first layer is...

    Text Solution

    |

  5. A convergent beam is incident on two slabs placed in contact as showni...

    Text Solution

    |

  6. A slab of water is on the top of a glass slab of refractive index 2. A...

    Text Solution

    |

  7. A ray of light ravels from a liquid of refractive index mu to air. If ...

    Text Solution

    |

  8. What should be the value of refractive index n of a glass rod placed ...

    Text Solution

    |

  9. An object is placed on the principle axis of a concave mirror of focal...

    Text Solution

    |

  10. The image of an object kept at a distance of 30 cm in front of a conca...

    Text Solution

    |

  11. In figure, a fish watcher watches a fish through a 3.0 cm thick glass ...

    Text Solution

    |

  12. An observer can see through a pin-hole the top end of a thin rod of...

    Text Solution

    |

  13. A vesserl contains a slab of glass 8cm thick and of refractive index 1...

    Text Solution

    |

  14. An object O is placed at 8cm in front of a glass slab, whose one face ...

    Text Solution

    |

  15. x-y plane separates two media, zge0 contains a medium of refractive i...

    Text Solution

    |

  16. The n transparent slabs of refractive index1.5 each having thickness 1...

    Text Solution

    |

  17. A concave mirror with its optic axis vertical and mirror facinig upwar...

    Text Solution

    |

  18. Consider the situation shown in figure. A plane mirror is fixed at a h...

    Text Solution

    |

  19. A concave mirror of radius 40 cm lies on a horizontal table and water ...

    Text Solution

    |

  20. A concave mirror of radius R is kept on a horizontal table. Water (ref...

    Text Solution

    |