A double slit experiment is performed with light of wavelength 500 nm- A this film of thickness 2 - m and refractive index 1-5 is introduced in the path of the upper beam- The location of the central maximum will-

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Question

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

remain unshifted

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shift downward by nearly two fringes

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shift upward by nearly two fringes

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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 upper beam actually we are increasing the optical path of the upper beam. Now for the same path difference lower beam will sfit upwards so that it is elongated so that path difference remains uchanged.

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