Home
Class 12
PHYSICS
A vessel contains water up to a height o...

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.

Text Solution

Verified by Experts

The correct Answer is:
C, D
Shift due to water
`Dt_w=1-(1/mu)d`
`=[-(1/1.33)]20`
`=1/4(20)=5cm`
Shifted to oil,
`Dt_0=[1-(1/1.33)]20`
`=4.6 cm`
`Total shift `Kt=5+4.6=9.6cm`
Apparent depth =40-(9.6)`
`=30.4 cm`
between the surface.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A water tank is partially fill upto 2 m height. As shown in figure, 0.1 m thick glass slab is placed on water surface. If refractive indices of water and glass are 1.3 and 1.5 respectively, what will be virtual depth of object placed at bottom when it is viewed from top ?

A beaker contains water up to a height h_(1) and kerosene of height h_(2) above water so that the total height of (water + kerosene) is (h_(1) + h_(2)) . Refractive index of water is mu_(1) and that of kerosene is mu_(2) . The apparent shift in the position of the bottom of the beaker when viewed from above is :-

A container, open from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre. also find the cost of metal sheet used to make the container, if it cost Rs 8 per 100 cm^(2) (Take pi=3.14)

A vertical U-tube of uniform cross-section contains water upto a height of 30 cm. show that if the water in one limb is depressed and then released, its up and down motion in the two limbs of the tube is simple harmonic and calculate its time-period.

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4.3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of the ball as [Take _(g)=10m/s^(2).]

Two syringes of different cross sections (without needles)filled with water are connected with a tightly fitted rubber tube filled with water .Diameters of the smaller piston and larger piston 1.0 cm and 3.0 cm respectively .(a)Find the force exerted on the large piston when a force of 10 N is applied to the smaller piston .(b) If the smaller piston is pushed in through 6.0 cm how much does the larger piston move out ?

A cylinder of radius 12 cm contains water to a depth of 20 cm. When a spherical iron ball is dropped in to the cylinder, the level of water is raised by 6.75 cm. Find the radius of the ball. [pi = (22)/(7)]

A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?

HC VERMA-GEOMETRICAL OPTICS-Exercises
  1. A small piece of wood is floating on the surface of a 2.5 m deep lake....

    Text Solution

    |

  2. An object P is focussed by a microscope M. A glass slab of thickness 2...

    Text Solution

    |

  3. A vessel contains water up to a height of 20 cm and above it an oil up...

    Text Solution

    |

  4. Locate the image of the point P as seen by the eye in the figure

    Text Solution

    |

  5. k transparent slabs are arranged one over another. The refractive indi...

    Text Solution

    |

  6. A cylindrical vessel of diameter 12 cm contains 800n cm 3 of water. A ...

    Text Solution

    |

  7. Consider the situation in figure. The bottom of the pot is a reflectin...

    Text Solution

    |

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

    Text Solution

    |

  9. A cylindrical vessel, whose diameter and height both are equal to 30 c...

    Text Solution

    |

  10. A light ray is incident at an angle of 45^@ with the normal to a sqr...

    Text Solution

    |

  11. An optical fibre (mu = 1.72) is surrounded by a glass coating (mu= 1.5...

    Text Solution

    |

  12. A light ray is incident normally on the face AB of a right-angled pris...

    Text Solution

    |

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

    Text Solution

    |

  14. Light is incident from glass (mu=1.5) to air. Sketch thevariation of t...

    Text Solution

    |

  15. Light is incident from glass (mu = 1.50) to water (mu = 1.33) find th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |