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Q.

The central fringe of the interference pattern produced by light of wavelength 6000 Ao is found to shift to the position of 4th bright fringe after a glass plate of refractive index 1.5 is introduced. The thickness of the glass plate would be :

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a

14.98 μm

b

8.23 μm

c

3.78 μm

d

4.8 μm

answer is A.

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Detailed Solution

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Path difference introduced= μ-1t as it is shifted to 4th maxima    μ-1t=4λ t=4×6×10-71.5-1=48×10-7m=4.8 μm

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The central fringe of the interference pattern produced by light of wavelength 6000 Ao is found to shift to the position of 4th bright fringe after a glass plate of refractive index 1.5 is introduced. The thickness of the glass plate would be :