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Question

In the Fresnel bi-prism experiment, the refractive index for the bi-prism is μ=3/2 and fringe width obtained is 0.4mm. If the whole apparatus is immersed as such in water then the fringe width will become(refractive index of water is 4/3).

A
0.3mm
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B
0.225mm
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C
0.4mm
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D
1.2mm
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Solution

The correct option is D 1.2mm
In a fresnel bi-prism, fringe width,ωmedium=Dλmediumdmedium
where λmedium=λvacuumμmedium
and dmediumA(μbiprismμmedium1)
Here μmedium=43 and μbiprism=32
Hence ωwaterωvacuum=3
Hence, ωwater=1.2mm

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