In an experiment on interference due to single mirror a light wave ...

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In an experiment on interference due to single mirror a light wave emitted directly by the source \( \mathrm{S} \) (narrow slit) interferes with the wave reflected from the mirror \( M \) of length \( 2 \mathrm{~mm} \). Source and screen are separated by distance \( 90 \mathrm{~cm} \). Source \( S \) is at the height of \( 3 \mathrm{~mm} \), from the point \( \mathrm{P} \) and the middle point of mirror is at distance of \( 2 \mathrm{~mm} \) from point \( \mathrm{P} \). Point \( \mathrm{P} \) and mirror are in the same plane and plane of screen is perpendicular to this plane.
If fringe width is \( 0.1 \mathrm{~mm} \) then what is the wavelength of light used?
(A) \( 3.3 \times 10^{-7} \mathrm{~m} \)
(B) \( 6.6 \times 10^{-7} \mathrm{~m} \)
(C) \( 1.0 \times 10^{-7} \mathrm{~m} \)
(D) \( 4 \times 10^{-7} \mathrm{~m} \)
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