Home
Class 12
PHYSICS
A spherical ball of transparent material...

A spherical ball of transparent material has index of refraction`mu.` A narrow beam of light AB is aimed as shown. What must the index of refraction be in order that the light is focused at the point C on the opposite end of the diameter from where the light entered? Given that `xgt gtR.`

Text Solution

Verified by Experts

The correct Answer is:
B
`BO=OC`
`:. angleOBC=angleBCO=r , ("say")`

Let angle of incidence be i,
`i=r+r=2r` (external angle)
`:. mu=sini/sinr=sin2r/sinr~~(2r)/(r)=2`
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Level 2 Comprehension Based|3 Videos

  • REFLECTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Subjective|9 Videos

  • SEMICONDUCTORS

    DC PANDEY ENGLISH|Exercise Subjective|12 Videos

Similar Questions

Explore conceptually related problems

A narrow parallel beam of light is incident on a transparent sphere of refractive index n if the beam finally gets focused at a point situated at a distance= 2xx("radius of sphere") form the center of the sphere then find n ?

A parallel beam of light falls on a solid tranparent sphere. Q. For what value of refractive index mu , the thin beam can be focussed at centre of sphere.

What is the refractive index in a medium where the speed of light is 1.5xx10^8 m/s ?

A transparent sphere of radius R ahs a cavity of radius R//2 as shown in figure,. Find the refractive index of the sphere if a parallel beam of light falling on left sureface focuses at point P.

A parallel beam of light emerges from the opposite surface of the sphere when a point source of light lies at the surface of the sphere. The refractive index of the sphere is

A circular beam of light (diameter d) falls on a plane surface of a liquid. The angle of incidence is 45^(@) and refractive index of the liquid is mu . The diameter of the refracted beam is

A beam of monochromatic light is refracted from vacuum into a medium of refractive index 1.5 The wavelength of refracted light will be

A monochromatic light beam of frequency 6.0xx10^14 Hz crosses from air into a transparent material where its wavelength is measured to be 300 nm. What is the index of refraction of the material?

If c is velocity of light in vacuum and v is the velocity of light in a medium of refractive index mu , then

A clear transparent glass sphere (mu=1.5) of radius R is immersed in a liquid of refractive index 1.25. A parallel beam of light incident on it will converge to a point. The distance of this point from the center will be

DC PANDEY ENGLISH-REFRACTION OF LIGHT-Level 2 Subjective
  1. a. Figure (a) shows the optical axis of a lens, the point source of ...

    Text Solution

    |

  2. In Figure, a fish watcher watches a fish through a 3.0 cm thick glass ...

    Text Solution

    |

  3. A concave spherical mirror with a radius of curvature of 0.2 m is fill...

    Text Solution

    |

  4. A lens with a focal length of f=30 cm produces on a screen a sharp ima...

    Text Solution

    |

  5. One side of radius of curvature R2=120 cm of a convexo-convex lens of ...

    Text Solution

    |

  6. A small object is placed on the principal axis of concave spherical mi...

    Text Solution

    |

  7. A thin glass lens of refractive index mu2=1.5 behaves as an interface ...

    Text Solution

    |

  8. A glass hemisphere of radius 10 cm and mu=1.5 is silvered over its cur...

    Text Solution

    |

  9. A equilateral prism of flint glass (mug=3//2) is placed water (muw=4//...

    Text Solution

    |

  10. Rays of light fall on the plane surface of a half cylinder at an angle...

    Text Solution

    |

  11. The figure shows an arrangement of an equi-convex lens and a concave m...

    Text Solution

    |

  12. A convex lens is held 45 cm above the bottom of an empty tank. The ima...

    Text Solution

    |

  13. A parallel beam of light falls normally on the first face of a prism o...

    Text Solution

    |

  14. Two converging lenses of the same focal length f are separated by a di...

    Text Solution

    |

  15. A cubical vessel with non-transparent walls is so located that the eye...

    Text Solution

    |

  16. A spherical ball of transparent material has index of refractionmu. A ...

    Text Solution

    |

  17. A ray incident on the droplet of water at an angle of incidence i unde...

    Text Solution

    |

  18. A transparent solid sphere of radius 2 cm and density rho floats in a ...

    Text Solution

    |

  19. A hollow sphere of glass of inner and outer radii R and 2R respectivel...

    Text Solution

    |

  20. A convex lens of focal length 1.5m is placed in a system of coordinate...

    Text Solution

    |