Home
Class 12
PHYSICS
A beaker contains water up to a height h...

A beaker contains water up to a height `h_1 ` and K oil above water up to another height `h_2.` Find the apparent shift in the position of the bottom of the beaker when viewed from above. Refractive index of water is `mu_1` and that of K.oil is mu_2`.

Text Solution

Verified by Experts

The apparent shift of the bottom due to the water is `/_\t_1=(1-1/mu_1)h_1`
and due to the K.oil is
`/_\t_2=(1-1/mu_2)h_2`
the total shift `=/_\t_1+/_\t_2(1-1/mu_1)h_1+(1-/mu_2)h_2`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Question For short Answer|19 Videos
  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Objective -1|18 Videos
  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|79 Videos
  • GAUSS LAW

    HC VERMA|Exercise Exercises|24 Videos
  • LIGHT WAVES

    HC VERMA|Exercise Exercises|41 Videos

Similar Questions

Explore conceptually related problems

A vessel contains water up to a height of 20 cm and above it an oil up to another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. Find the apparent depth of the vessel when viewed from above.

A ball falls on the ground from a height of 2.0 m and rebounds up to a height of 1.5 m. Find the coefficient of restitution.

A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water. Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index -of water = 1-33.

A light travels from air into water, the angle of refraction is 25^@ to the normal. Find the angle of incidence. Refractive index of water is 1.33 . mu_a =1

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.

A vessel of depht 'x' is half filled with oil of refractive index mu_(1) and the other half is fillied with water of refractive index mu_(2) . The apparent depth of the vessel when viewed from above is

A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33 (consider the bulb to be a point source . )

HC VERMA-GEOMETRICAL OPTICS-Worked out Examples
  1. A point object O is placed in fornt of a transparent slab at a distanc...

    Text Solution

    |

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

    Text Solution

    |

  3. A beaker contains water up to a height h1 and K oil above water up to...

    Text Solution

    |

  4. Monochramatic light is incident on the pane interface AB between two m...

    Text Solution

    |

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

    Text Solution

    |

  6. An object is placed 21 cm in fron of a concave mirror of radius of cur...

    Text Solution

    |

  7. The refractive indices of silicate fint glass for wavelength 400 nm an...

    Text Solution

    |

  8. Consider the situation shown in figure. Light from a point source S is...

    Text Solution

    |

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

    Text Solution

    |

  10. One end of a horizontal cylindrical glass rod (mu=1.5) of radius 5.0 c...

    Text Solution

    |

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

    Text Solution

    |

  12. A parallel bean of light travelling in water (refractive index = 4/3) ...

    Text Solution

    |

  13. Calculate the focal length of the thin lens shown infigure. The pionts...

    Text Solution

    |

  14. A point source S is placed at a distance of 15 cm from a converging le...

    Text Solution

    |

  15. A converging lens of focal length 15 cm and a converging mirror of foc...

    Text Solution

    |

  16. A biconvex thin lens is prepared from glass (mu=1.5), the two bounding...

    Text Solution

    |

  17. A concave convex figure lens made of glas (mu=1.5) has surface of radi...

    Text Solution

    |

  18. A thin lens of focal length + 12 cm is immersed in water (mu = 1.33). ...

    Text Solution

    |

  19. A long cylindrical tube containing water in closed by an equinvex lens...

    Text Solution

    |

  20. A slide projector produces 500 times enlarged image of a slide on a sc...

    Text Solution

    |