Home
Class 12
PHYSICS
In the YDSE shown the two slits are cove...

In the `YDSE` shown the two slits are covered with thin sheets having thickness `t` & `2t` and refractive index `2mu` and `mu` .Find the position (y) of central maxima.

A

zero

B

`(tD)/(d)`

C

`(-tD)/(d)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
At the central maxima `Deltax=0`
But upward shift `=((2mu-1)tD)/(d)` and
Downward shift `=((mu-1)2tD)/(d)`
So net shift `y=(tD)/(d)[2mu-1-2mu+2]impliesy=(tD)/(d)`
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Brain Teasures)|22 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 3 (Miscellaneous type Questions)|27 Videos

  • WAVE OPTICS

    ALLEN |Exercise Example 15|1 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

A double slit experiment is performed with light of wavelength 500 nm. A thin film of thickness 2mum and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will ......

The young's double slit experiment is done in a medium of refractive index 4//3 .A light of 600nm wavelength is falling on the slits having 0.45 mm separation .The lower slit S_(2) is covered by a thin glass sheet of thickness 10.4mu m and refractive index 1.5 .the intereference pattern is observed ona screen placed 1.5m from the slits are shown (a) Find the location of the central maximum (bright fringe with zero path difference)on the y-axis. (b) Find the light intensity at point O relative to the maximum fringe intensity. (c )Now,if 600nm light is replaced by white light of range 400 to700 nm find the wavelength of the light that from maxima exactly point O .[All wavelengths in this problem are for the given medium of refractive index 4//3 .Ignore dispersion]

A glass of refractive index 1.5 is coated with a thin layer of thickness t and refractive index 1.8 . Light of wavelength lambda travelling in air is incident normally on the layer. It is partly reflected at the upper and the lower surfaces of the layer and the two reflected rays interface . If lambda = 648 nm , obtain the least value of t ("in" 10^(-8)m ) which the rays interface constructively.

A glass sheet 12xx10^(-3) mm thick (mu_(g)=1.5) is placed in the path of one of the interfering beams in a Yongs's double slit interference arrangement using monochromatic light of wavelenght 6000 A. If the central bright fringe shifts a distance equal to width of 10 bands. What is the thickness of the sheet of diamond of refractive index 2.5 that has to be introduced in the path of second beam to bring th ecentral bright fringe to original position?

A diverging beam of light from a point source S having devergence angle alpha , falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is

In a double-slit experiment, fringes are produced using light of wavelength 4800A^(@) . One slit is covered by a thin plate of glass of refractive index 1.4 and the other slit by another plate of glass of same thickness and of refractive index 1.7. On doing so, the central bright fringe shifts to a position originally occupied by the fifth bright fringe from the centre. find the thickness of the glass plates.

Minimum deviation of prism having refractive index mu and small angle of prism A is shown by .....

In YDSE shown in figure a parallel beam of light is incident on the slits from a medium of refractive index n_(1) . The wavelength of light in this medium is lambda_(1) . A transparent of thickness t and refractive index n_(3) is put in front of one slit. The medium between the screen and the plane of the slits is n_(2) . The phase difference between the light waves reaching point O (symmetrical, relative to the slits) is

In Young's experiment if mica disc of thickness t and refractive index is placed in the path of one ray coming out of slit, fringes will move ...... distance on the screen

A Young's double slit interference arrangement with slits S_(1) and S_(2) is immersed in water (refractive index =4//3 ) as shown in the figure. The positions of maxima on the surface of water are given by x^(2) = p^(2)m^(2)lambda^(2)-d^(2) , where lambda is the wavelength of light in air (reflactive index = 1), 2d is the separation between the slits and m is an integer. The value of P is ..........

ALLEN -WAVE OPTICS-Exercise 1 (Check your Grasp)
  1. Two coherent narrow slits emitting light of wavelength lamda in the sa...

    Text Solution

    |

  2. Minimum thickness of a mica sheet having mu=(3)/(2) which should be pl...

    Text Solution

    |

  3. In the YDSE shown the two slits are covered with thin sheets having th...

    Text Solution

    |

  4. In a YDSE with two identical slits, when the upper slit is covered wit...

    Text Solution

    |

  5. Light wavelength 650 nm is incident normally upon a glass plate the gl...

    Text Solution

    |

  6. Diffraction and interference of light refers to -

    Text Solution

    |

  7. The phenomenon of diffraction of light was discovered by-

    Text Solution

    |

  8. Sound waves shown more diffraction as compare to light rays-

    Text Solution

    |

  9. The conversation going on, in some room, can be heared by the person o...

    Text Solution

    |

  10. Diffraction initiated from obstacle, depends upon the

    Text Solution

    |

  11. Phenomenon of diffraction occurs

    Text Solution

    |

  12. Diffraction of light is observed only, when the obstacle size is-

    Text Solution

    |

  13. which of the following any gives more distinct diffraction

    Text Solution

    |

  14. All fringes of diffraction are of-

    Text Solution

    |

  15. A single slit of width d is placed in the path of beam of wavelength l...

    Text Solution

    |

  16. Direction of the first secondary maximum in the Fraunhofer diffraction...

    Text Solution

    |

  17. Angular width (beta) of central maximum of a diffraction pattern on a ...

    Text Solution

    |

  18. Red light is generally used to observe diffraction pattern from single...

    Text Solution

    |

  19. Calculate angular width of central maxima if lamda=6000Å,a=18xx10^(-5)...

    Text Solution

    |

  20. In single slit fraunhoffer diffraction which type of wavefront is requ...

    Text Solution

    |