Home
Class 12
PHYSICS
A transparent paper (refractive index = ...

A transparent paper (refractive index = 1.45) of thickness 0.02 mm is pasted on one of the slits of a Young's double slit experiment which uses monochromatic light of wavelength 620 nm. How many fringes will cross through the centre if the paper is removed ?

Text Solution

Verified by Experts

The correct Answer is:
A, D

Given that `mu=1.45`
`t=0.02mm`
`=0.02xx10^-3m`
and `l=620 nm=620xx10^-9m`
We know when the transparent paper is pasted in one the slits, the optical path changes by `(mu-1)f`.
`again for shift of one fringe the opticasl path should be changed by l.
`So Number of fringes crossing throgh the centre is given by
`n=((mu-1))/lamda`
`=(0.45xx0.02xx10^-3)/(620xx10^-9)`
`=14.5`
Promotional Banner

Topper's Solved these Questions

  • LIGHT WAVES

    HC VERMA|Exercise Objective -2|10 Videos
  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|79 Videos
  • MAGNETIC FIELD

    HC VERMA|Exercise Exercises|60 Videos

Similar Questions

Explore conceptually related problems

In Young's double slit experiment with slit separation d, a monochromatic light of wavelength lamda is used. The angular separation of the fringes is

Find the angular separation between the consecutive bright fringes in a Young's double slit experiment with blue-green light of wavelength 500 nm. The separation between the slits is 2.0 x 10^ -3 m.

A thin paper of thickness 0.02 mm having a refractive index 1.45 is pasted across one of the slits in a YDSE. The paper transimits 4//9 of the light energy falling on it. a. Find the ratio of maximum intensity to the minimum intensity in interference pattern. b. How many fringes will cross through the center if an indentical paper piece is pasted on the other slit also? The wavelength of the light used is 600 nm.

In double slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distance screen is 0.1^(@) . What is the spacing between the two slits?

A plate of thickness t made of a material of refractive index mu is placed in front of one of the slits in a double slit experiment. (a) Find the changes in he optical path due to introduction of the plate. (b) Wht should be the minimum thickness t which will make the intensity at the centre of the fringe pattern zero ? Wavelength of the light used is lamda . Neglect any absorption of light in the plate.

White light is used in a Young's double slit experiment. Find the minimum order of the violet fringe (lamda = 400 nm) which overlaps with a red fringe (lamda = 700 nm) .

Monochromatic light of wavelenghth 600 nm is used in a Young's double sllt experiment. One of the slits is covered by a transparent sheet of thickness 1.8xx10^-5 m made of a material of refractive index 1.6. How many fringe will shift due to the introduction of the sheet?

In a Young's double slit interference experiment the fringe pattern is observed on a screen placed at a distance D from the slits. The slits are separated by a distance d and are illuminated by monochromatic light of wavelength lamda . Find the distance from the central point where the intensity falls to (a) half the maximum,

In a Young's double slit experiment using monochromatic light, the fringe pattern shifts by as certasin distance on the screen when a mica sheet of refractive inde 1.6 and thickness 1.964 micron (1 micron =10^-6m) is introduced in the path of one of the interfering waves. The mica sheet is then removed and the distance between the screen and the slits is doubled. It is found that the distance between the successive maxima now is the same as the observed frige-shift upon the introduction of the mica sheet. Calculate the wavelength of the monochromatic light used in the experiment.

In Young's double slit experiment, 62 fringes are seen in visible region for sodium light of wavelength 5893 Å. If violet light of wavelength 4359 Å is used in place of sodium light, then what is the number of fringes seen?

HC VERMA-LIGHT WAVES-Exercises
  1. Find the thickness of a plate which will produce a change in optical p...

    Text Solution

    |

  2. A plate of thickness t made of a material of refractive index mu is pl...

    Text Solution

    |

  3. A transparent paper (refractive index = 1.45) of thickness 0.02 mm is ...

    Text Solution

    |

  4. In a Young's double slit experiment using monochromatic light, the fri...

    Text Solution

    |

  5. A mica strip and a polysterence strip are fitted on the two slite of ...

    Text Solution

    |

  6. A Young's double slit experiment is performed with white light.

    Text Solution

    |

  7. A thin paper of thickness 0.02 mm having a refractive index 1.45 is pa...

    Text Solution

    |

  8. A Young's double slit apparatus has slits separated by 0.28 mm and a s...

    Text Solution

    |

  9. A parallel beam of monochromatic light is used in a Young's double sli...

    Text Solution

    |

  10. A narrow slit S transmitting light of wavelength lamda is placed a dis...

    Text Solution

    |

  11. Two slits are made 1 min apart and the screen is placed 1 m away from ...

    Text Solution

    |

  12. Consider the situation of the previous problem, if the mirror reflects...

    Text Solution

    |

  13. A double slit S1-S2 is illuminated by a coherent light of wavelength l...

    Text Solution

    |

  14. White coherent light (400 nm-700 nm) is sent through the slits of a YD...

    Text Solution

    |

  15. Consider the arrangement shown in figure. The distance D is large comp...

    Text Solution

    |

  16. Two coherent point sources S1 and S2 emit light of wavelength lambda. ...

    Text Solution

    |

  17. figure shows three equidistant slits illuminated by a monochromatic pa...

    Text Solution

    |

  18. In a Young's double slit experiment, the separation between the slits ...

    Text Solution

    |

  19. In a Young's double slit interference experiment the fringe pattern is...

    Text Solution

    |

  20. In a Young's double slit experiment lamda= 500nm, d=1.0 mm andD=1.0m. ...

    Text Solution

    |