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Question

In Young's double slit experiment, the two slits are illuminated by light of wavelength 5890 A and the angular fringe width is 0.2. If the whole apparatus is immersed in water, then the new angular fringe width will be (refractive index of water =43).

A
0.05
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B
0.20
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C
0.35
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D
0.15
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Solution

The correct option is D 0.15

Angular fringe width ϕ=βD (for small angles)
=λDd×1D=λd

Thus, ϕwϕa=λwλa

Wavelength of light in water λw=λaμ
ϕw=ϕaμ=0.243=0.15

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