Question

An interference pattem is produced by light with a wavelength 590 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.580 min Part A If the slits are very narrow, what would be the angular position of the first-order, two-slit, interference maxima? Express your answer in radians. VAX ? radians Submit Request Answer Part B What would be the angular position of the second-order, two-slit, interference maxima in this case? Express your answer in radians. TV AXO ? radians Submit Request Answer Part C Let the slits have a width 0.370 mm. In terms of the intensity I, at the center of the central maximum, what is the intensity at the angular position of 8,? Enter your answer numerically. ΑΣ ? 1 = 1 Submit Request Answer Part D What is the intensity at the angular position of @z? Enter your answer numerically. VAXD ? 12 - 1 Submit Request Answer

Answer 1

☺ Here wave length = = 590nm = 500x 10 m distance blo silt d=0.580mm=0.58x10 m @ Angular position of brirst order interference Inaxima = radian 590nlog 1.02 x 10² radians 0:58x:03 Angular position second order mazina 2 x 1.028103 2,03 8103 radians I= To cosa / for an Sa 1,02x10-3 Ia Io cos² (1.02x103) 2 = I. XI - II @ for az = I= Io wos? (2x1,027100²) = 0,99 Io