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In YDSE if a slab whose refractive index...

In YDSE if a slab whose refractive index can be varied is placed in front of one of the slits. Then, the variation of resultant intensity at mid-point of screen with `mu` will be best represented by `(mu is greater than or equal to 1)

A

B

C

D

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The correct Answer is:
C

When `mu=1` i.e., no change in path difference due to optical path difference so that mid point of the screen is again the central bright fringe.
But when `mugt1` the central bright will shift according `(D)/(d)(mu-1)t`
As `mu` increases, CBF will shift upwards from midpoint i.e., at mid point. Less bright fringe appears and when the shifts is equal to value of fringe width, the dark (zero intensity) will appear.
or Intensity variation
`O-=`central bright fringe
`y-=`distance from 'O' screen

* When `mu` increases, the fringe patterns shift towards the slit when introduced shift `(D(mu-1))/(t)` from the above two fact variation in I with `mu` is
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ALLEN -WAVE OPTICS-Exercise 1 (Check your Grasp)
  1. In YDSE, the source placed symmetrically with respect to the slit is n...

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  2. A light wave travels through three transparent materials of equal thic...

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  3. In YDSE if a slab whose refractive index can be varied is placed in fr...

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  4. In a double slit experiment, instead of taking slits of equal widths, ...

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  5. A ray of light is incident on a thin film, As shown in figure, M and N...

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  6. Let S(1) and S(2) be the two slits in Young's double-slit experiment. ...

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  7. When light is refracted into a medium

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  8. Two point source separated by d=5mum emit light of wavelength lamda=2m...

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  9. Two coherent narrow slits emitting light of wavelength lamda in the sa...

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

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

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

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

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  14. Diffraction and interference of light refers to -

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

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

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

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  18. Diffraction initiated from obstacle, depends upon the

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  19. Phenomenon of diffraction occurs

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

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