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Q.

In YDSE, find the thickness (in μm) of a glass slab (μ=1.5) which should be placed before the upper slit S1 so that the central maximum now lies at a point where 5th bright fringe was lying earlier (before inserting the slab). Wavelength of light used is 5000 Å.

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answer is 5.

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Detailed Solution

According to the question, shift = 5 (fringe width)∴     (μ−1)tDd=5λDd∴     t=5λμ−1=250001.5−1=50,000Å=5×10−6 m
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In YDSE, find the thickness (in μm) of a glass slab (μ=1.5) which should be placed before the upper slit S1 so that the central maximum now lies at a point where 5th bright fringe was lying earlier (before inserting the slab). Wavelength of light used is 5000 Å.