In Youngs double slit experiment, the slits are \( 2 \mathrm{~mm} \) \( \mathrm{P} \) apart and ...

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In Youngs double slit experiment, the slits are \( 2 \mathrm{~mm} \)
\( \mathrm{P} \) apart and are illuminated by photons of two

W wavelengths \( \lambda_{1}=12000 \AA \) and \( \lambda_{2}=10000 \AA \). At what minimum distance from the common central bright fringe on the screen \( 2 \mathrm{~m} \) from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other ?
(1) \( 3 \mathrm{~mm} \)
(2) \( 8 \mathrm{~mm} \)
(3) \( 6 \mathrm{~mm} \)
(4) \( 4 \mathrm{~mm} \)
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