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Question

The figure shows a Young's double slit experiental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gets shifted by a distance equal to n fringe widths. If the wavelength of light used is λ, t will be


A
None of the above
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B
nDλa(μ1)
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C
Dλa(μ1)
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D
2nDλa(μ1)
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E
2Dλa(μ1)
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Solution

The correct option is A None of the above

Shift in the central maxima due to presence of slab is given as
shift =D(μ1)ta
According to question
Shift =n×fringe width

D(μ1)ta=nλDa

t=nλ(μ1)

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