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

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.

Text Solution

Verified by Experts

The correct Answer is:
A, B

a. Let P is a point source placed at a depth h.
Clearly from ure the light escapes at a fixed distance r at water surface.
that madks a critical whose centre is just above P.

`rarr sintheta=1/mu`
`rarr v=sin^-1(1/mu)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A point source of light is placed 4 cm 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 concave mirror of radius 40 cm lies on a horizontal table and water is filled in it upto a height of 5.00 cm. A small dust particle floats on the water surface at a point P vertically above the point of contact of the mirror with the table. Locate the image of the dust particle as seen from a point directly above it. the refractive index of water is 1.33.

A concave mirror of radius R is kept on a horizontal table. Water (refractive index =mu.) is poured into it up to a height h. Where should an object be placed so that its image is formed on itself ?

Water is filled in a rectangular tank of size 3mxx2mxx1m . a) Find the total force exerted by the water on the bottom surface of the tank. b) Consider a vertical side of area 2mxx1m . Take a horizontal strip of wide deltax metre in this side, situated at a depth of x metre from the surface of water.Find the force by the water on this strip. c) Find the torque of the force calculate in part b) about the bottom edge of this side. d) Find the total force by the water on this side. e) Find the total torque by the water on the side about the bottom edge. neglect the atmospheric pressure and take =10ms^-2 .

A point source of light is placed at the centre of curvature of a hemispherical surface. The radius of curvature is r and the inner surface is completely reflecting. Find the force on the hemisphere due to the light falling on its if the source emits a power W.

A point source emitting uniformly in all directions is placed above a table top at a distance of 0.50 m from it. The luminous flux of the source is 500 lumen. Find the illuminance at a small surface area of the table to a.directly below the source and b. at as distance of 0.80 m from the source.

A point source of light moves in a straight line parallel to a plane table. Consider a small portion of the table directly below the line of movement of the source. The illuminance at this portion varies with its distance r from the source as

A container contains water up to a height of 20 cm and there is a point source at the centre of the bottom of the container. A rubber ring of radius r floats centrally on the water. The ceiling of the room is 2.0 m above the water surface. (a) Find the radius of the shadow of the ring formed on the ceiling if r = 15 cm. (b) Find the maximum value of r for which the shadow of the ring is formed on the ceiling. Refractive index of water =4/3.

HC VERMA-GEOMETRICAL OPTICS-Exercises
  1. Light is incident from glass (mu = 1.50) to water (mu = 1.33) find th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A container contains water up to a height of 20 cm and there is a poin...

    Text Solution

    |

  5. Find the angle of minimum deviation for an equilateral prism made of a...

    Text Solution

    |

  6. Find the angle of deviation suffered by the light ray shown in figure....

    Text Solution

    |

  7. A light ray, going through a prism with the angle of prism 60^@, is fo...

    Text Solution

    |

  8. Locate the image formed by refraction in the situation shown in figure

    Text Solution

    |

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

    Text Solution

    |

  10. Figure shows a transparent hemisphere of radius 3.0 cm made of a mate...

    Text Solution

    |

  11. A small object is embedded in a glass sphere (mu =1.5) of radius 5.0 c...

    Text Solution

    |

  12. A biconvex thick lens is constructed with glass (mu = 1.50). Each of t...

    Text Solution

    |

  13. A narrow pencil of parallel light is incident normally on a solid tran...

    Text Solution

    |

  14. One end of a cylindrical glass rod (mu = 1.5) of radius 1.0 cm is roun...

    Text Solution

    |

  15. A paperweight in the form of a hemisphere of radius 3.0 cm is used to ...

    Text Solution

    |

  16. Find the image shift if the paperweight is inverted at its place so th...

    Text Solution

    |

  17. A hemispherical portion of the surface of a solid glass sphere (mu = 1...

    Text Solution

    |

  18. The convex surface of a thin concave-convex lens of glass of refractiv...

    Text Solution

    |

  19. A double convex lens has focal length 25 cm. The radius of curvature o...

    Text Solution

    |

  20. The radii of curvature of a lens are + 20 cm and + 30 cm. The material...

    Text Solution

    |