Home
Class 12
PHYSICS
A point source (A) is kept on the axis o...

A point source (A) is kept on the axis of a hemi- spherical paperweight made of glass of refractive index`mu = ( 3 )/( 2)` . The distance of the point source from the centre (O) of the sphere is R where R is radius of the hemisphere. Use paraxial approximations for answering following questions (a) Find the change in radius of curvature of the wave- fronts just after they enter the glass at O. (b) Find the radius of curvature of the wavefronts at point P just outside the glass.

Text Solution

Verified by Experts

The correct Answer is:
(a)`(R)/(2)` (b)10R
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR PHYSICS

    ARIHANT|Exercise All Questions|54 Videos
  • WAVE PARTICLE DUALITY AND ATOMIC PHYSICS

    ARIHANT|Exercise All Questions|64 Videos

Similar Questions

Explore conceptually related problems

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

IF A is the amplitude of the wave coming from a point source at distance r then

There is a small air bubble at the centre of a solid glass sphere of radius 'r' and refractive index mu . What wil be the apparent distance of the bubble from the centre of the sphere, when viewed from outside?

A hemisphere of radius R, made of glass of refractive index (3/2) is placed on 'the table. A point source of light is placed at a distance 2R from the centre, of hemisphere. If source is viewed diametrically opposite side of hemisphere. Find the position of image of source.

A paraxial beam is incident on a glass (n=1.5) hemisphere of radius R=6 cm in air as shown. The distance of point convergence F from the plane surface of hemisphere is :-

The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R respectively where R is the radius of earth and M is the mass of the earth find radius of curvature at the point of minimum distance.

ARIHANT-WAVE OPTICS-All Questions
  1. Coherent light of wavelength lambda" = 500 nm" is sent through two nar...

    Text Solution

    |

  2. In a Young double slit experiment, the two slits are named as A and B....

    Text Solution

    |

  3. A point source (A) is kept on the axis of a hemi- spherical paperweigh...

    Text Solution

    |

  4. A parallel beam of light travelling in x direction is incident on a gl...

    Text Solution

    |

  5. In the figure shown, O is a point source of light and S is a screen pl...

    Text Solution

    |

  6. In a routine Young’s double slit experiment the paral- lel beam of lig...

    Text Solution

    |

  7. A thin glass slab G1 is held over a large glass slab G2, creating an a...

    Text Solution

    |

  8. Light is incident at an angle phiwith the normal to a vertical plane c...

    Text Solution

    |

  9. In young's double-slit experiment set up, sources S of wavelength 50 n...

    Text Solution

    |

  10. In a young’s double slit experiment the distance between slits S1 and ...

    Text Solution

    |

  11. A Soap bubble has a thickness of 90 nm and its refractive index is mu"...

    Text Solution

    |

  12. A parallel beam of white light falls from air on a thin film whose ref...

    Text Solution

    |

  13. A thin film having refractive index mu" = 1.5" has air on both sides. ...

    Text Solution

    |

  14. In a double slit experiment a parallel beam of light strikes the slit ...

    Text Solution

    |

  15. In Young’s double slit experiment, the upper slit is covered by a thin...

    Text Solution

    |

  16. In Young’s double slit experiment a transparent sheet of thickness t a...

    Text Solution

    |

  17. In Young’s double slit experiment a monochromatic light of wavelength ...

    Text Solution

    |

  18. In the shown fig. S1 and S2 are two identical coher- ent sources of so...

    Text Solution

    |

  19. Two plane mirrors, a source S of light, emitting wavelengths of lambda...

    Text Solution

    |

  20. Three narrow slits A, B and C are illuminated by a parallel beam of li...

    Text Solution

    |