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Q.

In Young's double-slit experiment, the separation between the two slits is 2.0 mm. What should be the width of each slit (in mm) so as to accommodate 10 maxima of the double-slit experiment within the central maximum of the single slit diffraction experiment?

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answer is 0.4.

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Detailed Solution

In Young's double-slit experiment, the angular separation between 10 maxima is
θ1=10λd
In single slit diffraction experiment, the angular width of the central maximum is
θ2=2λa, (a=width of each slit)
Given θ1=θ2, which requires
10λd=2λa
  a=2d10=2×2 mm10=0.4 mm

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