In YDSE, monochromatic light falls on a screen 1.80 m from two slits separated by 2.08 mm . The first and second order bright fringes are separated by 0.553 mm . The wavelength of light used is

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Correct answer: B. 639 nm

Position of first bright fringe, y_1= D d Position of second bright fringe, aligned y_2 & = 2 D d \ y_2-y_1 & = 2 D d - D d \ y_2-y_1 & = D d \ or & = (y_2-y_1 ) d D aligned Substituting given values, we have aligned & = 0.553 10^ -3 2.08 10^ -3 1.8 \ & =639 10^ -9 ~m \ or & =639 ~nm aligned

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