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Two transparent slabs having equal thick...

Two transparent slabs having equal thickness but different refractive indices `mu_1 and mu_2`, are pasted side by side to form a composite slab. This slab is placed just after the double slit in a Young's experiment so that the light from one slit goes through one material and the light from the other slit goes through the other material. What should be the minimum thickness of the slab so that there is a minimum at the point `P_0` which is equidistant from the slits ?

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

The change in path difference due to the two slabs is `(mu_1-mu_2)t` (as in problem No. 16) For having a minimum at P, the path difference should change by `1/2`
So, `lamda/2=(mu_1-mu_2)t`
`rarr t=lamda/(2[mu_1-mu_2])`
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HC VERMA-LIGHT WAVES-Exercises
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  2. A mica strip and a polysterence strip are fitted on the two slite of ...

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  3. Two transparent slabs having equal thickness but different refractive ...

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

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

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

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

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  8. A long narrow horizontal slit is placed 1 mm above a horizontal plane ...

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

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  10. A double slit S1-S-2 is illuminated by a coherent light of wavelength ...

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

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

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

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

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

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

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

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  18. The line-width of a bright fringe is sometimes defined as the separati...

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  19. Consider the situation shown in figure. The two slits S1 and S2 placed...

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  20. Consider the arrangement shownin figure. By some mechanism,the separat...

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