Home
Class 12
PHYSICS
A luminous object O is located at the bo...

A luminous object O is located at the bottom of a big pool of liquid of refractive index `mu` and depth h. The object O emits rays upwards in all directions, so that a circle of light is formed at the surface of the liquid by the rays which are refracted into the air. what happens to the rays beyond the circle ? Determine the radius and the area of the circle .

Text Solution

Verified by Experts

The correct Answer is:
Rays beyond the circle are totally reflected into the liquid, Radius `=(h)/(sqrt(mu^(2)-1))` Area `=(pi h^(2))/(mu^(2)-1)`
Promotional Banner

Topper's Solved these Questions

  • RAY OPTICS

    SL ARORA|Exercise TYPE F|10 Videos
  • RAY OPTICS

    SL ARORA|Exercise TYPE I|12 Videos
  • RAY OPTICS

    SL ARORA|Exercise TYPE A|15 Videos
  • OPTICAL INSTRUMENTS

    SL ARORA|Exercise Problems for self practice|35 Videos
  • SOLIDS AND SEMICONDUCTOR DEVICES

    SL ARORA|Exercise PROBLEM_TYPE|9 Videos

Similar Questions

Explore conceptually related problems

An object is placed at the bottom of a tank filled with liquid of refractive index 1.6. If the actual depth of the tank is 10 cm, what will be the apparent depth of the object?

Give three examples of materials that refract light rays. What happens to the speed of light rays when they enter these materials?

A concave mirror of radius of curvature h is placed at the bottom of a tank containing a liquid of refractive index mu upto a depth d. An object P is placed at height h above the bottom of the miror. Outside the liquid, an observer O views the object and its image in the mirror. The apparent distance between these two will be

A ray of light is incident on the surface of plate of glass of refractive index 1.5 at the polarising angle. The angle of refraction of the ray will be

A metal coin at the bottom of a beaker filled with a liquid of refractive index 4//3 to height of 6 cm . To an observer looking from above the surface of the liquid, coin will appear at a depth of (consider paraxial rays).

The apparent depth of an object at the bottom of tank filled with a liquid of refractive index 1.3 is 7.7 cm. what is the actual depth of the liquid in the tank ?

A ray of light is incident on a medium at an angle i. It is found that the reflected ray is at right angles to the refracted ray . The refractive index of the medium is given by

When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism =1.5

SL ARORA-RAY OPTICS-Problems For Self Practice
  1. What is the small index of refractive of the material of a right angle...

    Text Solution

    |

  2. Find the maximum angle of refraction when a light ray is refracted fro...

    Text Solution

    |

  3. A luminous object O is located at the bottom of a big pool of liquid o...

    Text Solution

    |

  4. One end of a cylindrical rod is grounded to a hemispherical surface of...

    Text Solution

    |

  5. A spherical convex surface separates object and image space of refract...

    Text Solution

    |

  6. A mark placed on the surface of a sphere is viewed through glass from ...

    Text Solution

    |

  7. A glass sphere of radius 15 cm has a small bubble 6 cm from its centre...

    Text Solution

    |

  8. An object is placed 50 cm from the surface of a glass sphere of radius...

    Text Solution

    |

  9. A small object is 2 cm below the concave meniscus of water in a test t...

    Text Solution

    |

  10. A spherical surface of radius 30 cm separates two transparent media A ...

    Text Solution

    |

  11. Fig shows a small air bubble inside a glass sphere (mu = 1.5) of radiu...

    Text Solution

    |

  12. A double convex lens has radii 20 cm. The index of refraction of glass...

    Text Solution

    |

  13. The focal length of a double convex lens is equal to radius of curvatu...

    Text Solution

    |

  14. Fig. 6(b).54. shows a thin lens with centres of curvature C(1) and C(2...

    Text Solution

    |

  15. A plano-convex lens (mu = 1.5) has a curved surface of radiys 15 cm. w...

    Text Solution

    |

  16. The focal length of a concave-convex lens of radii of curvature 5 cm a...

    Text Solution

    |

  17. A convex lens of refractive index 1.5 is immersed in a liquid of refra...

    Text Solution

    |

  18. The two surfaces of a double concave lens are of curvature 10 cm and 4...

    Text Solution

    |

  19. The focal length of a plano-convex lens is 20 cm in air. Refractive in...

    Text Solution

    |

  20. The focal length of a convex lens of glass (mu = 1.5) in air is 30 cm....

    Text Solution

    |