Home
Class 12
PHYSICS
What is the semi-vertical angle of the c...

What is the semi-vertical angle of the cone through which a man, 12 cm under water, can see the sky?

Text Solution

Verified by Experts

The correct Answer is:
`sin-1(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    CHHAYA PUBLICATION|Exercise Problem set - II|17 Videos
  • REFRACTION OF LIGHT

    CHHAYA PUBLICATION|Exercise Hots Numerical Problems|20 Videos
  • REFRACTION OF LIGHT

    CHHAYA PUBLICATION|Exercise EXERCISE Short Answe Type Question - II|20 Videos
  • REFLECTION OF LIGHT

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|3 Videos
  • SEMICONDUCTORS AND ELECTRONICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|31 Videos

Similar Questions

Explore conceptually related problems

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^(-1) sqrt(2) .

Water is pumped out at a constant rate of 88 m^(3) /min from a conical container held with its axis vertical, if the semi-vertcal angle of the cone is 45^(@) , find the rate of deperssion of the water level when the depth of water level is 2 meters (pi = (22)/(7)) .

A bell tent consists of a conical portion above a cylindrical portion near the ground. For a given volume and a circular base of a given radius, the amount of the canvas used is a minimum when the semi-vertical angle of the cone is cos^(-1)2/3 (b) sin^(-1)2/3 cos^(-1)1/3 (d) none of these

Two closed containers of equal weight and size are to be dipped into water up to the same depth. There is a hole at the bottom of one of the containers through which water can enter it. For which container, more work has to be done?

Water is dropped at the rate of 2 m^3 /s into a cone of semi-vertical angle is 45^@ . If the rate at which periphery of water surface changes when the height of the water in the cone is 2m is d. Then the value of 5d is _____ m/sec

If the volume , height and semi - vertical angle of a right circular cone be v,h and alpha respectively, then prove that 3v tan alpha=pi r^3 , where r= radius of base.

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^(-1) ((1)/(3)) .

If a person can throw a stone to maximum height of h metre vertically, then the maximum distance through which it can be thrown horizontally by the same person is

CHHAYA PUBLICATION-REFRACTION OF LIGHT-Problem set - I
  1. A ray of light is incident at an angle of incidents 60^(@) on a transp...

    Text Solution

    |

  2. A rectangular glass slab is placed at the bottom of vessel filled with...

    Text Solution

    |

  3. A ray of light enters a rectangular glass block and is incident on the...

    Text Solution

    |

  4. The thickness of a glass slab (mu = 1.5) is 10 cm. A ray of light is i...

    Text Solution

    |

  5. A man observe a fish at a depth of 6 cm from the surface of water in a...

    Text Solution

    |

  6. A swimmer is 12 m below the water surface. 18 cm above the water surfa...

    Text Solution

    |

  7. An ink dot on a sheet of paper is viewed from above a distance of 50 c...

    Text Solution

    |

  8. Refractive index of glass is 1.5 and that of water is 1.33. will total...

    Text Solution

    |

  9. A transparent liquid of refractive index sqrt3 is poured in a beaker. ...

    Text Solution

    |

  10. The critical angle of a glass slab in air is 30^(@). What will be the...

    Text Solution

    |

  11. The critical angle of a ray of light incident at the surface of separa...

    Text Solution

    |

  12. Two transparent media A and B are adjacent to each other. Velocity of ...

    Text Solution

    |

  13. A light ray is incident on a rarer medium from a denser medium. The ve...

    Text Solution

    |

  14. What is the semi-vertical angle of the cone through which a man, 12 cm...

    Text Solution

    |

  15. The angle of a prism is 60^(@) and minimum angle of deviation is 48^(@...

    Text Solution

    |

  16. A monochromatic ray of light is incident normally on a refracting face...

    Text Solution

    |

  17. What should be the angle of prism of refractive index 1.6 so that a ra...

    Text Solution

    |

  18. A glass prism of refractive index 1.5 is immersed in water of refrac...

    Text Solution

    |

  19. The angle of minimum deviation is 30^(@) for a prism with refractive a...

    Text Solution

    |

  20. For green light the refractive index of prism, of refractive angle 5^(...

    Text Solution

    |