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Question

A double slit experiment is performed with light of wavelength 500 nm. A thin film of thickness 2 μm and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will:

A
remain unshifted
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B
shift downward by nearly two fringes
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C
shift upward by nearly two fringes
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D
shift downward by ten fringes
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Solution

The correct option is C shift upward by nearly two fringes
When we introduce a thin film of some thickness in the path of the upper beam, actually we are increasing the optical path of the upper beam.

Now, for the same path difference, the lower beam will shift upwards so that it is elongated such that the path difference remains unchanged.

Hence, (C) is the correct answer.

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