Home
Class 12
PHYSICS
A point source is placed at a depth h b...

A point source is placed at a depth `h` below the surface of water (refractive index `= mu`). The medium above the surface of water is air from water.

Text Solution

Verified by Experts

The correct Answer is:
`(pi h^(2))/(mu^(2) - 1)`

Light comes in air form water where refraction takes place.
`sin i_(C) = (R)/(sqrt(R^(2) + h^(2))) = (1)/(mu), mu^(2) R^(2) = R^(2) + h^(2), R^(2) = (h^(2))/(mu^(2) - 1)`
Area `= pi R^(2) = (pi h^(2))/(mu^(2) - 1)`
Promotional Banner

Topper's Solved these Questions

  • GEOMATRICAL OPTICS

    RESONANCE|Exercise Exercise-2|63 Videos
  • GEOMATRICAL OPTICS

    RESONANCE|Exercise Exercise-3|79 Videos
  • GEOMATRICAL OPTICS

    RESONANCE|Exercise Problem|33 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos
  • GRAVITATION

    RESONANCE|Exercise HIGH LEVEL PROBLEMS|16 Videos

Similar Questions

Explore conceptually related problems

A point source is placed at a depth h below the surface of water (refractive index = mu). (a) Show that light escapes through a circular area on the water surface with its centre directly above the point source. (b) Find the angle subtended by a radius of the area on the source.

A point source of light is placed at a depth of h below the surface of water of refractive index mu . A floating opaque disc is placed on the surface of water so that light from the source is not visible from the surface. The minimum diameter of the disc is

A point source of light is placed 4 m below the surface of water of refractive index 5//3 . The minimum diameter of a disc, which should be placed over the source, on the surface of water to cut-off all light coming out of water is

A point soujrce of light is placed 4 m below the surface of water of refractive index (5)/(3). The minimum diameter of a disc, which should be placed over the source, on the surface of water to cut off alol light coming out of water is

An isotropic point source is placed at a depth h below the water surface. A floating opaque disc is placed on the surface of water so that the source is not visible from the surface. What is the minimum radius of the disc? Take refractive index of "water"=mu .

A point source of light is placed at a depth h=0.5 m below the surface of a liquid (mu=5/4) , Then , the fraction of light energy that escape directly from the liquid surface is

A point source of light is placed 4m below the surface of a liquid of refractive index 5//3 . The minimum diameter of a disc, which should be placed over the source, on the surface of the liquid to cut off all light out of water, is

A point source of light is placed directly below the surface of a lake at a distance h from the surface. Find the area surface of a lake at a distance h from the surface. Find the area on water from which the light will come out from water. [(pih^(2))/((mu^(2)-1))]

A point source of light is placed inside water and a thin converging lens ofrefractive index mu_(2) is placed just outside the plane surface of water. The image of the source is formed at a distance x from the surface of water. If the lens is now placed just inside water and the image is now formed at a distances' from the surface of water, show that (1)/(x) -(1)/(x_(1)) = (mu_(1)-1)/(mu_(2)-1) xx (1)/(f) , Where f is the focal length of the lens and mu_(1) is the refractive index of water.

RESONANCE-GEOMATRICAL OPTICS -Exercise-1
  1. Locate the image fo the point P as seen by the eye in the figure.

    Text Solution

    |

  2. A small object is placed at the centre of the bottom of a cylindrical ...

    Text Solution

    |

  3. A point source is placed at a depth h below the surface of water (re...

    Text Solution

    |

  4. Light falls from glass (mu=1.5) to air. Find the angle of incidence fo...

    Text Solution

    |

  5. At what values fo the refractive index of a recantangular prism can...

    Text Solution

    |

  6. A prism (n = 2) of apex angle 90^(@) is palced in air (n = 1). What ...

    Text Solution

    |

  7. The refracting angle of a glass prism is 30^@. A ray is incident onto ...

    Text Solution

    |

  8. Find the angle of devaition suffered by the light ray shown in figu...

    Text Solution

    |

  9. The refractive index of a prism is mu. Find the maximum angle of the ...

    Text Solution

    |

  10. An extended object of size 2cm is placed at a distance of 10cm in air...

    Text Solution

    |

  11. A point object lies inside a transpatent solid sphere of radius 20cm ...

    Text Solution

    |

  12. An object is placed 10cm away form a glass piecwe (n = 1.5) of length...

    Text Solution

    |

  13. There is small air bubble inside a glass sphere (mu = 1.5) of radius ...

    Text Solution

    |

  14. A smell object Q of length Q of length 1mm leis along the principle ...

    Text Solution

    |

  15. A narror parallel beam of light is incident paraxially on a solid tr...

    Text Solution

    |

  16. A quarter cylinder of radius R and refractive index 1.5 is placed on a...

    Text Solution

    |

  17. Lenses are constructed by a material of refractive index 2. The magni...

    Text Solution

    |

  18. Find the focal length of lens shown in the figure. Solve for three c...

    Text Solution

    |

  19. Given an optical axis MN and the positons of a real object AB and it...

    Text Solution

    |

  20. A thin lens made of a material of refractive indexmu2 has a medium of ...

    Text Solution

    |